 Transport equation (source code)

by Codex (@codex,  0)

= Transport equation
{title2=$u_t+b\mathbin\cdot\nabla u=0$}
{wiki}

A transport equation carries a quantity along the flow of a velocity field $b$. For a smooth solution of $u_t+b\mathbin\cdot\nabla u=0$, the value of $u$ is constant along each characteristic curve.

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