It is pointed out that there often occur low frequency sparse compressional wave and low frequency SV surface wave in loose shot layer, their approximate analytic solution being offered also.

Stability of the rarefaction wave for the generalized BBM-Burgers equation;

Albedo of X-ray through the region of rarefaction wave;

This paper presents an experimental technique of diaphragm bursting by virtue of the rarefaction wave in double driver shock tube.

On the basis of forefathers study, the interaction of the shock waves of torrent, and that of rarefaction to shock wave have been discussed in detail in the useof the concept of the (u, h) curve.

This type of shock wave and boundary layer interaction describes a moving shock interacts with an unsteady boundary layer which is induced by another shock wave and rarefaction waves.

Firstly, the thesis proves that there exists a unique global smooth solution for the Cauthy problem to the hyperbolic conservation laws system with relaxation; secondly, in the large time station, the thesis proves that the global smooth solutions of the hyperbolic conservation laws system with relaxation converge to rarefaction waves solu.

In Chapter one, we study the global stability of strong rarefaction waves for compressible Navier-Stokes equations with initial data (v(t,x),u(t,x),s(t,x))|t=0=(v_0(x),u_0(x),s_0(x))→(v_±,u_±,s_±) as x→±∞.