The Riemann problem for the transportation equations in gas dynamics
著者
書誌事項
The Riemann problem for the transportation equations in gas dynamics
（Memoirs of the American Mathematical Society, no. 654）
American Mathematical Society, 1999
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注記
"January 1999, volume 137, number 654 (third of 6 numbers)" -- T.p
Includes bibliographical references (p. 76-77)
内容説明・目次
内容説明
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 have 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.
目次
Introduction 1-D Riemann problem for transportation equations in gas dynamics 2-D Riemann problem for transportation References.
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