The Riemann Problem for the Transportation Equations in Gas Dynamics

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The Riemann Problem for the Transportation Equations in Gas Dynamics is written by Wancheng Sheng and published by American Mathematical Soc.. It's available with International Standard Book Number or ISBN identification 0821809474 (ISBN 10) and 9780821809471 (ISBN 13).

In this volume, the one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics are solved constructively. In either the 1-D or 2-D case, there are only two kinds of solutions: one involves Dirac delta waves, and the other involves vacuums, which has been merely discussed so far. The generalized Rankine-Hugoniot and entropy conditions for Dirac delta waves are clarified with viscous vanishing method. All of the existence, uniqueness and stability for viscous perturbations are proved analytically