The Cauchy Problem for a Special System of Quasilinear Equations

Authors

  • Hu Jiaxin, Wang Jinghua

Keywords:

Entropy pair; weak solution

Abstract

We have obtained in this paper the existence of weak solutions to the Cauchy problem for a special system of quasillnear equations with physical interest of the form {\frac{∂}{∂t}(u + qz) + \frac{∂}{∂x}f(u) = 0 \frac{∂z}{∂t} + kφ(u)z = 0 for the assumed smooth function φ(u) by employing the viscosity method and the theory of compensated compactness.

Published

1991-04-01

Issue

Section

Articles