Conservation law flux (source code)

= Conservation law flux
{title2=$F(U)$}

= Flux of a conservation law
{synonym}

A <conservation law flux> $F(U)$ transports the conserved density $U$ across a surface. In one dimension $U_t+\partial_xF(U)=0$; a moving discontinuity satisfies $s[U]=[F]$. For a stationary <shock wave>, each conserved flux has the same value on both sides.