Autor: Tai-Ping Liu

Physical models of conservation form-such as the compressible Navier-Stokes equations, and MHD and full nonlinear elasticity equations-are not uniformly parabolic, but rather hyperbolic-parabolic. Th …

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These lecture notes of the courses presented at the first CIME session 1994 by leading scientists present the state of the art in recent mathematical methods in Nonlinear Wave Propagation. …

The authors study the perturbation of a shock wave in conservation laws with physical viscosity. They obtain the detailed pointwise estimates of the solutions. In particular, they show that the solut …

This book presents the fundamentals of the shock wave theory. The first part of the book, Chapters 1 through 5, covers the basic elements of the shock wave theory by analyzing the scalar conservation …