Existence of global entropy solutions to a
non-strictly hyperbolic system with a source
Rei-Fang Yan University of Aeronautics \& Astronautics, China
Resumen.
En este artículo usamos la teoría de la compacidad compensada asociada con
algunas ideas básicas de formulación Kinética para establecer un
teorema de existencia para soluciones de entropía global del
sistema no estrictamente hiperbólico con fuente
\begin{eqnarray*}\left \{
\begin{array}{rcl}
\rho_t+(\rho u)_x&=&U(\rho,u,x,t) \\
u_t+(\frac {u^2}{2}+P(\rho))_x&=&V(\rho,u,x,t)
\end{array} \right.
\end{eqnarray*}
Abstract.
In this paper we use
the theory of compensated compactness coupled with some basic
ideas of the Kinetic formulation to establish an existence theorem
for global entropy solutions to the non-strictly hyperbolic system
with a source
\begin{eqnarray*}\left \{
\begin{array}{rcl}
\rho_t+(\rho u)_x&=&U(\rho,u,x,t) \\
u_t+(\frac {u^2}{2}+P(\rho))_x&=&V(\rho,u,x,t)
\end{array} \right.
\end{eqnarray*}
Palabras claves. Entropy solution, Kinetic formulation, the maximum principle
