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Convergence of the Fractional Step Lax-Friedrichs Scheme and Godunov Scheme for the Isentropic Syste
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$$
\begin{align}
\rho_t+(\rho u)_x &=U(\rho,u) \\
(\rho u)_t+(\rho u^2 +p(\rho) )_x&=V(\rho,u)
\end{align}
$$
- Compact framework of the approximate solution
The difference approximation solution \((\rho^l,m^l)\) satisfy
(1) \(0\leq \rho^l \leq C\), \(|\frac{m^l}{\rho^l}| \leq C\)
(2) the measure set \(\eta_t+q_x\) lies in a compact subset of \(H^{-1}_{loc}(\Omega)\) for all weak entropy pair \((\eta,q)\).
标签：Isentropic,align,solution,leq,eta,rho,Godunov,Scheme 来源： https://www.cnblogs.com/yuewen-chen/p/15967718.html