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 havea 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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Format PDF ● Pages 77 ● ISBN 9781470402433 ● Maison d’édition American Mathematical Society ● Téléchargeable 3 fois ● Devise EUR ● ID 6612853 ● Protection contre la copie Adobe DRM
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