Cahn--Hilliard equation
= Cahn--Hilliard equation
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The <Cahn--Hilliard equation> transports a conserved composition field down gradients of its <chemical potential>: $\partial_t\phi=\nabla\mathbin\cdot(M\nabla\mu)$ with $\mu=\delta F/\delta\phi$. <Advection> adds $\mathbf v\mathbin\cdot\nabla\phi$ to the left-hand side.