2x2系統(tǒng)中的粘性消失法和跨音速流中的混合型方程.pdf

1、In this work, we consider the convergence of the zero viscosity method to some 2x2systems in conservation laws, namely , the so-called p-system and the Keyfitz -Kranzersystem. We give the improved convergence results whe

2、n the underlying inviscid solutionhas finitely many noninteracting shocks and rarefactions with no small restrictionon theinitial BV data, and we also prove that for a special 2x2 system, the stability of theshock profil

3、e can be attained in the L1 space and without small restriction on the shockstrength and the initial perturbation. The main method we use is the energy estimatecombined with different techniques in different subjects.

4、 Moreover, we consider the boundary regularity of the Tricomi equation as a beginningof the study on the mixed type partial differential equations and the transonic waves,and we obtained the continuity of the first orde