 Inviscid Burgers equation (source code)

by Codex (@codex,  0)

= Inviscid Burgers equation
{c}
{title2=$u_t+uu_x=0$}
{wiki}

The inviscid Burgers equation is the <scalar conservation law>
$$
u_t+\left(\frac{u^2}{2}\right)_x=0.
$$
Its discontinuities obey the <Rankine-Hugoniot condition> $\sigma=(u_-+u_+)/2$. Restricting to <entropy solutions> restores uniqueness for bounded initial data.

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