The Riemann Problem Of Non-isentopic Chaplygin Gas

In this paper,we consider the Riemann problem of one-dimensional nonisentropic Chaplygin gas dynamics.In the case that the pressure and internal energy are general,we consider the existence of weak solution for the classical Riemann problem.According to the theory of meaure,we obtain the measure solution for this problem.This extend the result for isentropic Chaplygin gas.In Chapter 1 and Chapter 2,we introduce the research background and current status of the hyperbolic conservation laws and Chaplygin gas.Moreover,we review the basic theory of the one-dimensional conservation laws and the Riemann problem of it.In Chapter 3,we consider the general pressure and internal energy and construct the solution for the classical Riemann problem by the characteristic analysis.As the density ? concentrates,the? shock waves exist.In Chapter 4,we give the definition of the measure solution and the general Rankine-Hugoniot condition.Combining with entropy condition,we obtain the measure solution of the general Riemann problem.