Example Problems

Cahn-Hilliard

$var element = document.getElementById("moose-equation-d9f38f25-039b-4fad-a5a4-c0d96aae5dee");katex.render("\\frac{\\partial c}{\\partial t} = \\nabla\\cdot\\left(M\\nabla\\left( \\frac{\\partial f}{\\partial c}\\right)\\right)", element, {displayMode:true,throwOnError:false});$

$var element = document.getElementById("moose-equation-0da053ae-4041-450b-911a-308eddf59ae2");katex.render("\\frac{\\partial \\bar c}{\\partial t}= M{\\vec k}^2\\bar\\mu-M\\kappa{\\vec k}^4\\bar c", element, {displayMode:true,throwOnError:false});$

Swift-Hohenberg

$var element = document.getElementById("moose-equation-deb1076d-9ce3-4981-89ef-8d2271e916f1");katex.render("\\frac{\\partial \\psi}{\\partial t} = \\left(r-a^2(1-\\Delta)^2 \\right)\\psi+N(\\psi)", element, {displayMode:true,throwOnError:false});$

with $var element = document.getElementById("moose-equation-eaceb54b-ecba-4253-aba6-0557733de334");katex.render("N(\\psi)=0.2\\psi^2-\\psi^3", element, {displayMode:false,throwOnError:false});$ .

Cahn - Hilliard
Swift - Hohenberg