Smooth approximations of global in time solutions to scalar conservation laws
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Publication:1030653
DOI10.1155/2009/350762zbMath1172.35450OpenAlexW1977184028WikidataQ58646581 ScholiaQ58646581MaRDI QIDQ1030653
Publication date: 2 July 2009
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/55946
Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Initial value problems for first-order hyperbolic systems (35L45)
Related Items (4)
Exact solution for non-self-similar wave-interaction problem during two-phase four-component flow in porous media ⋮ Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process ⋮ Delta shock wave formation in the case of triangular hyperbolic system of conservation laws ⋮ Shock wave formation process for a multidimensional scalar conservation law
Cites Work
- The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
- Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
- Generalized solutions describing singularity interaction
- Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
- Weak asymptotics of shock wave formation process
- \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
- Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process
- From weak discontinuity to gradient catastrophe
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
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