Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Two-dimensional Riemann problem for pressureless gas dynamics equations with functional solutions


Author: Jiaxin Hu
Journal: Quart. Appl. Math. 58 (2000), 251-264
MSC: Primary 35L40; Secondary 35Q35, 76N15
DOI: https://doi.org/10.1090/qam/1753398
MathSciNet review: MR1753398
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Abstract: The Riemann problem for a two-dimensional hyperbolic system of pressureless gas dynamics equations is considered here. Riemann solutions are constructed for any piecewise-constant initial data having two discontinuity rays with the origin as vertex. Non-classical waves (labelled as Dirac-shock waves) appear in some solutions. The entropy conditions for the Dirac-shock waves are given. Uniqueness of Riemann solutions containing Dirac-shock waves fails.


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DOI: https://doi.org/10.1090/qam/1753398
Article copyright: © Copyright 2000 American Mathematical Society


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