Two-dimensional Riemann problem for scalar conservation laws
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Publication:697868
DOI10.1006/jdeq.2001.4124zbMath1024.35073OpenAlexW2010144353MaRDI QIDQ697868
Publication date: 17 September 2002
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.2001.4124
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)
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Cites Work
- Unnamed Item
- Shocks and rarefactions in two space dimensions
- Generalized characteristic analysis and Guckenheimer structure
- Structure of Riemann solutions for 2-dimensional scalar conservation laws
- The Riemann Problem in Two Space Dimensions for a Single Conservation Law
- Two-Dimensional Riemann Problem for a Single Conservation Law
- The Scalar Riemann Problem in Two Spatial Dimensions: Piecewise Smoothness of Solutions and Its Breakdown
- Global solutions of the cauchy problem for quasi‐linear first‐order equations in several space variables
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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