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Hardcover The Riemann Problem for the Transportation Equations in Gas Dynamics (Memoirs of the American Mathematical Society) Book

ISBN: 0821809474

ISBN13: 9780821809471

The Riemann Problem for the Transportation Equations in Gas Dynamics (Memoirs of the American Mathematical Society)

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

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