Isentropic Euler equations
= Isentropic Euler equations
{c}
In one spatial dimension, inviscid isentropic mass and momentum conservation are
$$
\rho_t+(\rho u)_x=0,
\qquad
u_t+uu_x+\rho^{-1}p_x=0,
\qquad p=p(\rho).
$$
= Isentropic Euler equations
{c}
In one spatial dimension, inviscid isentropic mass and momentum conservation are
$$
\rho_t+(\rho u)_x=0,
\qquad
u_t+uu_x+\rho^{-1}p_x=0,
\qquad p=p(\rho).
$$