Convergence of the difference approximate solutions for a class of m × m coupled hyperbolic conservation laws

Abstract

In this paper, we prove the existence of the global entropy solutions for a class of m x m coupled hyperbolic conservation laws by the finite difference method. The convergence of the solutions of difference equations is established without the uniform estimates on the derivatives of the approximate solutions by using llelley's theorem

Keywords:

• coupled hyperbolic eonscivstion laws
• difference scheme
• dillcrence approximate solutions
• entropy solution

Additional information

Notes on contributors

Changjiang Zhu