dispersion_analysis/dispersion_analysis_stationary_diffusion1D.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import *\n",
    "init_printing(use_latex='mathjax')\n",
    "Re,theta_r,D,rho,L_x,lam,tau,k,x = symbols('Re theta_r D rho L_x lambda tau k x', positive=True)\n",
    "C0 = symbols('C0')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "rho = solve(Re - rho*sqrt(D/rho/theta_r)*L_x/D,rho)[0]  # density from Reynolds number Re\n",
    "V_p = sqrt(D/rho/theta_r)                               # velocity scale - wave velocity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "H      = C0*exp(-lam*tau*V_p/L_x)*sin(pi*k*x/L_x)\n",
    "q      = C0*exp(-lam*tau*V_p/L_x)*cos(pi*k*x/L_x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "eq1 =     rho*diff(H,tau)     +   diff(q,x)             # mass balance\n",
    "eq2 = theta_r*diff(q,tau) + q + D*diff(H,x)             # momentum balance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle - Re \\lambda + \\pi^{2} k^{2} + \\lambda^{2}$"
      ],
      "text/plain": [
       "         2  2    2\n",
       "-Re⋅λ + π ⋅k  + λ "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "disp = diff(eq1,tau)*theta_r - diff(eq2,x) + eq1\n",
    "disp = expand(disp)\n",
    "disp = expand(simplify(disp/disp.coeff(lam**2)))\n",
    "disp"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 2 \\pi$"
      ],
      "text/plain": [
       "2⋅π"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sol     = solve(disp,lam)\n",
    "disc    = discriminant(disp,lam)\n",
    "Re_opt  = solve(disc,Re)[0].subs(k,1)\n",
    "Re_opt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sympy import maximum, lambdify\n",
    "import numpy as np\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "lam  = [re(s.subs(k,1)) for s in sol]\n",
    "lamf = lambdify(Re,lam,\"numpy\")\n",
    "Re1  = np.linspace(0,2*float(Re_opt),1000)\n",
    "lam1 = np.stack(lamf(Re1),axis=0)\n",
    "lam1 = np.nanmin(lam1,axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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       "    for (var key in msg) {\n",
       "        if (!(key in fig.buttons)) {\n",
       "            continue;\n",
       "        }\n",
       "        fig.buttons[key].disabled = !msg[key];\n",
       "        fig.buttons[key].setAttribute('aria-disabled', !msg[key]);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_navigate_mode = function (fig, msg) {\n",
       "    if (msg['mode'] === 'PAN') {\n",
       "        fig.buttons['Pan'].classList.add('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    } else if (msg['mode'] === 'ZOOM') {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.add('active');\n",
       "    } else {\n",
       "        fig.buttons['Pan'].classList.remove('active');\n",
       "        fig.buttons['Zoom'].classList.remove('active');\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Called whenever the canvas gets updated.\n",
       "    this.send_message('ack', {});\n",
       "};\n",
       "\n",
       "// A function to construct a web socket function for onmessage handling.\n",
       "// Called in the figure constructor.\n",
       "mpl.figure.prototype._make_on_message_function = function (fig) {\n",
       "    return function socket_on_message(evt) {\n",
       "        if (evt.data instanceof Blob) {\n",
       "            /* FIXME: We get \"Resource interpreted as Image but\n",
       "             * transferred with MIME type text/plain:\" errors on\n",
       "             * Chrome.  But how to set the MIME type?  It doesn't seem\n",
       "             * to be part of the websocket stream */\n",
       "            evt.data.type = 'image/png';\n",
       "\n",
       "            /* Free the memory for the previous frames */\n",
       "            if (fig.imageObj.src) {\n",
       "                (window.URL || window.webkitURL).revokeObjectURL(\n",
       "                    fig.imageObj.src\n",
       "                );\n",
       "            }\n",
       "\n",
       "            fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
       "                evt.data\n",
       "            );\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        } else if (\n",
       "            typeof evt.data === 'string' &&\n",
       "            evt.data.slice(0, 21) === 'data:image/png;base64'\n",
       "        ) {\n",
       "            fig.imageObj.src = evt.data;\n",
       "            fig.updated_canvas_event();\n",
       "            fig.waiting = false;\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        var msg = JSON.parse(evt.data);\n",
       "        var msg_type = msg['type'];\n",
       "\n",
       "        // Call the  \"handle_{type}\" callback, which takes\n",
       "        // the figure and JSON message as its only arguments.\n",
       "        try {\n",
       "            var callback = fig['handle_' + msg_type];\n",
       "        } catch (e) {\n",
       "            console.log(\n",
       "                \"No handler for the '\" + msg_type + \"' message type: \",\n",
       "                msg\n",
       "            );\n",
       "            return;\n",
       "        }\n",
       "\n",
       "        if (callback) {\n",
       "            try {\n",
       "                // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
       "                callback(fig, msg);\n",
       "            } catch (e) {\n",
       "                console.log(\n",
       "                    \"Exception inside the 'handler_\" + msg_type + \"' callback:\",\n",
       "                    e,\n",
       "                    e.stack,\n",
       "                    msg\n",
       "                );\n",
       "            }\n",
       "        }\n",
       "    };\n",
       "};\n",
       "\n",
       "// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
       "mpl.findpos = function (e) {\n",
       "    //this section is from http://www.quirksmode.org/js/events_properties.html\n",
       "    var targ;\n",
       "    if (!e) {\n",
       "        e = window.event;\n",
       "    }\n",
       "    if (e.target) {\n",
       "        targ = e.target;\n",
       "    } else if (e.srcElement) {\n",
       "        targ = e.srcElement;\n",
       "    }\n",
       "    if (targ.nodeType === 3) {\n",
       "        // defeat Safari bug\n",
       "        targ = targ.parentNode;\n",
       "    }\n",
       "\n",
       "    // pageX,Y are the mouse positions relative to the document\n",
       "    var boundingRect = targ.getBoundingClientRect();\n",
       "    var x = e.pageX - (boundingRect.left + document.body.scrollLeft);\n",
       "    var y = e.pageY - (boundingRect.top + document.body.scrollTop);\n",
       "\n",
       "    return { x: x, y: y };\n",
       "};\n",
       "\n",
       "/*\n",
       " * return a copy of an object with only non-object keys\n",
       " * we need this to avoid circular references\n",
       " * http://stackoverflow.com/a/24161582/3208463\n",
       " */\n",
       "function simpleKeys(original) {\n",
       "    return Object.keys(original).reduce(function (obj, key) {\n",
       "        if (typeof original[key] !== 'object') {\n",
       "            obj[key] = original[key];\n",
       "        }\n",
       "        return obj;\n",
       "    }, {});\n",
       "}\n",
       "\n",
       "mpl.figure.prototype.mouse_event = function (event, name) {\n",
       "    var canvas_pos = mpl.findpos(event);\n",
       "\n",
       "    if (name === 'button_press') {\n",
       "        this.canvas.focus();\n",
       "        this.canvas_div.focus();\n",
       "    }\n",
       "\n",
       "    var x = canvas_pos.x * this.ratio;\n",
       "    var y = canvas_pos.y * this.ratio;\n",
       "\n",
       "    this.send_message(name, {\n",
       "        x: x,\n",
       "        y: y,\n",
       "        button: event.button,\n",
       "        step: event.step,\n",
       "        guiEvent: simpleKeys(event),\n",
       "    });\n",
       "\n",
       "    /* This prevents the web browser from automatically changing to\n",
       "     * the text insertion cursor when the button is pressed.  We want\n",
       "     * to control all of the cursor setting manually through the\n",
       "     * 'cursor' event from matplotlib */\n",
       "    event.preventDefault();\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (_event, _name) {\n",
       "    // Handle any extra behaviour associated with a key event\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.key_event = function (event, name) {\n",
       "    // Prevent repeat events\n",
       "    if (name === 'key_press') {\n",
       "        if (event.which === this._key) {\n",
       "            return;\n",
       "        } else {\n",
       "            this._key = event.which;\n",
       "        }\n",
       "    }\n",
       "    if (name === 'key_release') {\n",
       "        this._key = null;\n",
       "    }\n",
       "\n",
       "    var value = '';\n",
       "    if (event.ctrlKey && event.which !== 17) {\n",
       "        value += 'ctrl+';\n",
       "    }\n",
       "    if (event.altKey && event.which !== 18) {\n",
       "        value += 'alt+';\n",
       "    }\n",
       "    if (event.shiftKey && event.which !== 16) {\n",
       "        value += 'shift+';\n",
       "    }\n",
       "\n",
       "    value += 'k';\n",
       "    value += event.which.toString();\n",
       "\n",
       "    this._key_event_extra(event, name);\n",
       "\n",
       "    this.send_message(name, { key: value, guiEvent: simpleKeys(event) });\n",
       "    return false;\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onclick = function (name) {\n",
       "    if (name === 'download') {\n",
       "        this.handle_save(this, null);\n",
       "    } else {\n",
       "        this.send_message('toolbar_button', { name: name });\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.toolbar_button_onmouseover = function (tooltip) {\n",
       "    this.message.textContent = tooltip;\n",
       "};\n",
       "\n",
       "///////////////// REMAINING CONTENT GENERATED BY embed_js.py /////////////////\n",
       "// prettier-ignore\n",
       "var _JSXTOOLS_RESIZE_OBSERVER=function(A){var t,i=new WeakMap,n=new WeakMap,a=new WeakMap,r=new WeakMap,o=new Set;function s(e){if(!(this instanceof s))throw new TypeError(\"Constructor requires 'new' operator\");i.set(this,e)}function h(){throw new TypeError(\"Function is not a constructor\")}function c(e,t,i,n){e=0 in arguments?Number(arguments[0]):0,t=1 in arguments?Number(arguments[1]):0,i=2 in arguments?Number(arguments[2]):0,n=3 in arguments?Number(arguments[3]):0,this.right=(this.x=this.left=e)+(this.width=i),this.bottom=(this.y=this.top=t)+(this.height=n),Object.freeze(this)}function d(){t=requestAnimationFrame(d);var s=new WeakMap,p=new Set;o.forEach((function(t){r.get(t).forEach((function(i){var r=t instanceof window.SVGElement,o=a.get(t),d=r?0:parseFloat(o.paddingTop),f=r?0:parseFloat(o.paddingRight),l=r?0:parseFloat(o.paddingBottom),u=r?0:parseFloat(o.paddingLeft),g=r?0:parseFloat(o.borderTopWidth),m=r?0:parseFloat(o.borderRightWidth),w=r?0:parseFloat(o.borderBottomWidth),b=u+f,F=d+l,v=(r?0:parseFloat(o.borderLeftWidth))+m,W=g+w,y=r?0:t.offsetHeight-W-t.clientHeight,E=r?0:t.offsetWidth-v-t.clientWidth,R=b+v,z=F+W,M=r?t.width:parseFloat(o.width)-R-E,O=r?t.height:parseFloat(o.height)-z-y;if(n.has(t)){var k=n.get(t);if(k[0]===M&&k[1]===O)return}n.set(t,[M,O]);var S=Object.create(h.prototype);S.target=t,S.contentRect=new c(u,d,M,O),s.has(i)||(s.set(i,[]),p.add(i)),s.get(i).push(S)}))})),p.forEach((function(e){i.get(e).call(e,s.get(e),e)}))}return s.prototype.observe=function(i){if(i instanceof window.Element){r.has(i)||(r.set(i,new Set),o.add(i),a.set(i,window.getComputedStyle(i)));var n=r.get(i);n.has(this)||n.add(this),cancelAnimationFrame(t),t=requestAnimationFrame(d)}},s.prototype.unobserve=function(i){if(i instanceof window.Element&&r.has(i)){var n=r.get(i);n.has(this)&&(n.delete(this),n.size||(r.delete(i),o.delete(i))),n.size||r.delete(i),o.size||cancelAnimationFrame(t)}},A.DOMRectReadOnly=c,A.ResizeObserver=s,A.ResizeObserverEntry=h,A}; // eslint-disable-line\n",
       "mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Left button pans, Right button zooms\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\\nx/y fixes axis, CTRL fixes aspect\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
       "\n",
       "mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
       "\n",
       "mpl.default_extension = \"png\";/* global mpl */\n",
       "\n",
       "var comm_websocket_adapter = function (comm) {\n",
       "    // Create a \"websocket\"-like object which calls the given IPython comm\n",
       "    // object with the appropriate methods. Currently this is a non binary\n",
       "    // socket, so there is still some room for performance tuning.\n",
       "    var ws = {};\n",
       "\n",
       "    ws.close = function () {\n",
       "        comm.close();\n",
       "    };\n",
       "    ws.send = function (m) {\n",
       "        //console.log('sending', m);\n",
       "        comm.send(m);\n",
       "    };\n",
       "    // Register the callback with on_msg.\n",
       "    comm.on_msg(function (msg) {\n",
       "        //console.log('receiving', msg['content']['data'], msg);\n",
       "        // Pass the mpl event to the overridden (by mpl) onmessage function.\n",
       "        ws.onmessage(msg['content']['data']);\n",
       "    });\n",
       "    return ws;\n",
       "};\n",
       "\n",
       "mpl.mpl_figure_comm = function (comm, msg) {\n",
       "    // This is the function which gets called when the mpl process\n",
       "    // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
       "\n",
       "    var id = msg.content.data.id;\n",
       "    // Get hold of the div created by the display call when the Comm\n",
       "    // socket was opened in Python.\n",
       "    var element = document.getElementById(id);\n",
       "    var ws_proxy = comm_websocket_adapter(comm);\n",
       "\n",
       "    function ondownload(figure, _format) {\n",
       "        window.open(figure.canvas.toDataURL());\n",
       "    }\n",
       "\n",
       "    var fig = new mpl.figure(id, ws_proxy, ondownload, element);\n",
       "\n",
       "    // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
       "    // web socket which is closed, not our websocket->open comm proxy.\n",
       "    ws_proxy.onopen();\n",
       "\n",
       "    fig.parent_element = element;\n",
       "    fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
       "    if (!fig.cell_info) {\n",
       "        console.error('Failed to find cell for figure', id, fig);\n",
       "        return;\n",
       "    }\n",
       "    fig.cell_info[0].output_area.element.on(\n",
       "        'cleared',\n",
       "        { fig: fig },\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_close = function (fig, msg) {\n",
       "    var width = fig.canvas.width / fig.ratio;\n",
       "    fig.cell_info[0].output_area.element.off(\n",
       "        'cleared',\n",
       "        fig._remove_fig_handler\n",
       "    );\n",
       "    fig.resizeObserverInstance.unobserve(fig.canvas_div);\n",
       "\n",
       "    // Update the output cell to use the data from the current canvas.\n",
       "    fig.push_to_output();\n",
       "    var dataURL = fig.canvas.toDataURL();\n",
       "    // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
       "    // the notebook keyboard shortcuts fail.\n",
       "    IPython.keyboard_manager.enable();\n",
       "    fig.parent_element.innerHTML =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "    fig.close_ws(fig, msg);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.close_ws = function (fig, msg) {\n",
       "    fig.send_message('closing', msg);\n",
       "    // fig.ws.close()\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.push_to_output = function (_remove_interactive) {\n",
       "    // Turn the data on the canvas into data in the output cell.\n",
       "    var width = this.canvas.width / this.ratio;\n",
       "    var dataURL = this.canvas.toDataURL();\n",
       "    this.cell_info[1]['text/html'] =\n",
       "        '<img src=\"' + dataURL + '\" width=\"' + width + '\">';\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.updated_canvas_event = function () {\n",
       "    // Tell IPython that the notebook contents must change.\n",
       "    IPython.notebook.set_dirty(true);\n",
       "    this.send_message('ack', {});\n",
       "    var fig = this;\n",
       "    // Wait a second, then push the new image to the DOM so\n",
       "    // that it is saved nicely (might be nice to debounce this).\n",
       "    setTimeout(function () {\n",
       "        fig.push_to_output();\n",
       "    }, 1000);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._init_toolbar = function () {\n",
       "    var fig = this;\n",
       "\n",
       "    var toolbar = document.createElement('div');\n",
       "    toolbar.classList = 'btn-toolbar';\n",
       "    this.root.appendChild(toolbar);\n",
       "\n",
       "    function on_click_closure(name) {\n",
       "        return function (_event) {\n",
       "            return fig.toolbar_button_onclick(name);\n",
       "        };\n",
       "    }\n",
       "\n",
       "    function on_mouseover_closure(tooltip) {\n",
       "        return function (event) {\n",
       "            if (!event.currentTarget.disabled) {\n",
       "                return fig.toolbar_button_onmouseover(tooltip);\n",
       "            }\n",
       "        };\n",
       "    }\n",
       "\n",
       "    fig.buttons = {};\n",
       "    var buttonGroup = document.createElement('div');\n",
       "    buttonGroup.classList = 'btn-group';\n",
       "    var button;\n",
       "    for (var toolbar_ind in mpl.toolbar_items) {\n",
       "        var name = mpl.toolbar_items[toolbar_ind][0];\n",
       "        var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
       "        var image = mpl.toolbar_items[toolbar_ind][2];\n",
       "        var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
       "\n",
       "        if (!name) {\n",
       "            /* Instead of a spacer, we start a new button group. */\n",
       "            if (buttonGroup.hasChildNodes()) {\n",
       "                toolbar.appendChild(buttonGroup);\n",
       "            }\n",
       "            buttonGroup = document.createElement('div');\n",
       "            buttonGroup.classList = 'btn-group';\n",
       "            continue;\n",
       "        }\n",
       "\n",
       "        button = fig.buttons[name] = document.createElement('button');\n",
       "        button.classList = 'btn btn-default';\n",
       "        button.href = '#';\n",
       "        button.title = name;\n",
       "        button.innerHTML = '<i class=\"fa ' + image + ' fa-lg\"></i>';\n",
       "        button.addEventListener('click', on_click_closure(method_name));\n",
       "        button.addEventListener('mouseover', on_mouseover_closure(tooltip));\n",
       "        buttonGroup.appendChild(button);\n",
       "    }\n",
       "\n",
       "    if (buttonGroup.hasChildNodes()) {\n",
       "        toolbar.appendChild(buttonGroup);\n",
       "    }\n",
       "\n",
       "    // Add the status bar.\n",
       "    var status_bar = document.createElement('span');\n",
       "    status_bar.classList = 'mpl-message pull-right';\n",
       "    toolbar.appendChild(status_bar);\n",
       "    this.message = status_bar;\n",
       "\n",
       "    // Add the close button to the window.\n",
       "    var buttongrp = document.createElement('div');\n",
       "    buttongrp.classList = 'btn-group inline pull-right';\n",
       "    button = document.createElement('button');\n",
       "    button.classList = 'btn btn-mini btn-primary';\n",
       "    button.href = '#';\n",
       "    button.title = 'Stop Interaction';\n",
       "    button.innerHTML = '<i class=\"fa fa-power-off icon-remove icon-large\"></i>';\n",
       "    button.addEventListener('click', function (_evt) {\n",
       "        fig.handle_close(fig, {});\n",
       "    });\n",
       "    button.addEventListener(\n",
       "        'mouseover',\n",
       "        on_mouseover_closure('Stop Interaction')\n",
       "    );\n",
       "    buttongrp.appendChild(button);\n",
       "    var titlebar = this.root.querySelector('.ui-dialog-titlebar');\n",
       "    titlebar.insertBefore(buttongrp, titlebar.firstChild);\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._remove_fig_handler = function (event) {\n",
       "    var fig = event.data.fig;\n",
       "    if (event.target !== this) {\n",
       "        // Ignore bubbled events from children.\n",
       "        return;\n",
       "    }\n",
       "    fig.close_ws(fig, {});\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._root_extra_style = function (el) {\n",
       "    el.style.boxSizing = 'content-box'; // override notebook setting of border-box.\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._canvas_extra_style = function (el) {\n",
       "    // this is important to make the div 'focusable\n",
       "    el.setAttribute('tabindex', 0);\n",
       "    // reach out to IPython and tell the keyboard manager to turn it's self\n",
       "    // off when our div gets focus\n",
       "\n",
       "    // location in version 3\n",
       "    if (IPython.notebook.keyboard_manager) {\n",
       "        IPython.notebook.keyboard_manager.register_events(el);\n",
       "    } else {\n",
       "        // location in version 2\n",
       "        IPython.keyboard_manager.register_events(el);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype._key_event_extra = function (event, _name) {\n",
       "    var manager = IPython.notebook.keyboard_manager;\n",
       "    if (!manager) {\n",
       "        manager = IPython.keyboard_manager;\n",
       "    }\n",
       "\n",
       "    // Check for shift+enter\n",
       "    if (event.shiftKey && event.which === 13) {\n",
       "        this.canvas_div.blur();\n",
       "        // select the cell after this one\n",
       "        var index = IPython.notebook.find_cell_index(this.cell_info[0]);\n",
       "        IPython.notebook.select(index + 1);\n",
       "    }\n",
       "};\n",
       "\n",
       "mpl.figure.prototype.handle_save = function (fig, _msg) {\n",
       "    fig.ondownload(fig, null);\n",
       "};\n",
       "\n",
       "mpl.find_output_cell = function (html_output) {\n",
       "    // Return the cell and output element which can be found *uniquely* in the notebook.\n",
       "    // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
       "    // IPython event is triggered only after the cells have been serialised, which for\n",
       "    // our purposes (turning an active figure into a static one), is too late.\n",
       "    var cells = IPython.notebook.get_cells();\n",
       "    var ncells = cells.length;\n",
       "    for (var i = 0; i < ncells; i++) {\n",
       "        var cell = cells[i];\n",
       "        if (cell.cell_type === 'code') {\n",
       "            for (var j = 0; j < cell.output_area.outputs.length; j++) {\n",
       "                var data = cell.output_area.outputs[j];\n",
       "                if (data.data) {\n",
       "                    // IPython >= 3 moved mimebundle to data attribute of output\n",
       "                    data = data.data;\n",
       "                }\n",
       "                if (data['text/html'] === html_output) {\n",
       "                    return [cell, data, j];\n",
       "                }\n",
       "            }\n",
       "        }\n",
       "    }\n",
       "};\n",
       "\n",
       "// Register the function which deals with the matplotlib target/channel.\n",
       "// The kernel may be null if the page has been refreshed.\n",
       "if (IPython.notebook.kernel !== null) {\n",
       "    IPython.notebook.kernel.comm_manager.register_target(\n",
       "        'matplotlib',\n",
       "        mpl.mpl_figure_comm\n",
       "    );\n",
       "}\n"
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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\" width=\"500\">"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib notebook\n",
    "from matplotlib import pyplot as plt\n",
    "plt.rcParams.update({\"text.usetex\": True, \"font.size\": 14})\n",
    "f  = plt.figure(figsize=(5,5))\n",
    "ax = plt.subplot()\n",
    "ax.plot(Re1,lam1)\n",
    "ax.axvline(x=Re_opt.evalf(),ls='--',c='k',linewidth=2)\n",
    "ax.set_xlabel(\"$Re$\"); ax.set_ylabel(\"$\\mathrm{min}\\{\\Re(\\lambda_k)\\}$\")\n",
    "ax.set_xticks([0,np.pi,2*np.pi,3*np.pi,4*np.pi])\n",
    "ax.set_xticklabels([\"$0$\",\"$\\pi$\",\"$2\\pi$\",\"$3\\pi$\",\"$4\\pi$\"])\n",
    "ax.set_xlim(0,4*np.pi)\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "23ccf40aa0d70319b801e1e931e99d6b5c9066326a494c44bb897fc78903291d"
  },
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}