Multidimensional shock interaction for a Chaplygin gas
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Publication:1017876
DOI10.1007/s00205-008-0110-zzbMath1161.76025OpenAlexW2076038171MaRDI QIDQ1017876
Publication date: 13 May 2009
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-008-0110-z
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solutions with concentration to the Riemann problem for the one-dimensional Chaplygin gas equations
- Supersonic flow and shock waves. Reprint of the ed. published by Interscience Publishers, New York
- Systems of conservation laws. Two-dimensional Riemann problems
- Elliptic partial differential equations of second order
- Conjecture on the Structure of Solutions of the Riemann Problem for Two-Dimensional Gas Dynamics Systems
- User’s guide to viscosity solutions of second order partial differential equations
- Classification of the Riemann Problem for Two-Dimensional Gas Dynamics
- Triple-shock entropy theorem and its consequences
- Potential theory for shock reflection by a large-angle wedge
- Regularity for Fully Nonlinear Elliptic Equations with Neumann Boundary Data
- Interaction of Shock Waves
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