One-Phase Riemann Problem and Wave Interactions in Systems of Conservation Laws of Mixed Type

DOI10.1137/0524053zbMath0804.35074OpenAlexW1968115728MaRDI QIDQ3142788

Haitao Fan

Publication date: 4 January 1994

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0524053

zbMATH Keywords

phase transitionsRiemann problemvanishing viscosity methodtraveling wave criterion

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

Related Items (8)

Existence of solutions to the Riemann problem for a class of hyperbolic conservation laws exhibiting a parabolic degeneracy ⋮ The mathematical theory of splitting-merging patterns in phase transition dynamics ⋮ An example of \(2\times 2\) hyperbolic conservation laws admitting delta-shock waves ⋮ Weakly Nonlinear Waves in Nonideal Fluids ⋮ High-order entropy-conservative schemes and kinetic relations for van der Waals fluids ⋮ Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws ⋮ Traveling waves, Riemann problems and computations of a model of the dynamics of liquid/vapor phase transitions ⋮ Existence of solutions to the Riemann problem for 2 × 2 conservation laws

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