A priori bounds for solutions of flood wave equations by vanishing viscosity metho

Abstract

In this thesis, we use the vanishing viscosity method to approximate solutions of the system of conservation laws for a motion of flood wave [equation] where and are physical variables and , and are constants with initial data [equation]. A key step in applying the vanishing viscosity method is to obtain [equation] for solutions. In this work, we prove a priori estimate of solutions to this system by using the method of expanding invariant region.