The Riemann problem for a two-dimensional hyperbolic system of nonlinear conservation laws: Multiplication of distribution solutions

DOI10.4171/ZAA/848zbMath0913.35084OpenAlexW2091800553MaRDI QIDQ1267978

Jiaxin Hu

Publication date: 31 May 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/848

zbMATH Keywords

Dirac-contact wavesnon-classical wavestwo discontinuity rays

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Hyperbolic conservation laws (35L65) PDEs with low regular coefficients and/or low regular data (35R05)

Cites Work

• Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
• Delta-shock waves as limits of vanishing viscosity for hyperbolic systems of conservation laws
• Spaces of weighted measures for conservation laws with singular shock solutions
• Definition and weak stability of nonconservative products
• Solution of a Two-Dimensional Cochlea Model Using Transform Techniques
• Multiplications of distributions in elasticity and hydrodynamics
• Microscopic Profiles of Shock Waves and Ambiguities in Multiplications of Distributions
• Measure solutions to a strictly hyperbolic system of conservation laws
• A contribution to the theory of generalized functions
• A limiting viscosity approach to Riemann solutions containing delta-shock waves for nonstrictly hyperbolic conservation laws
• The Riemann problem for a resonant nonlinear system of conservation laws with Dirac-measure solutions
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