The Uniqueness and Stability of the Solution of the Riemann Problem of a System of Conservation Laws of Mixed Type

DOI10.2307/2154071zbMath0763.35057OpenAlexW4251933817MaRDI QIDQ4015899

Haitao Fan

Publication date: 7 December 1992

Full work available at URL: https://doi.org/10.2307/2154071

zbMATH Keywords

similarity solution\(2\times 2\) system of conservation laws of mixed typehyperbolic-elliptic mixed type systemviscosity-capillarity travelling wave admissibility criterion

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Stability in context of PDEs (35B35) Shock waves and blast waves in fluid mechanics (76L05) Hyperbolic conservation laws (35L65)

Related Items

Asymptotic behavior of solutions to a system of viscous conservation laws related to a phase transition problem, The Riemann problem for thermoelastic materials with phase change, Global versus local admissibility criteria for dynamic phase boundaries, Weakly Nonlinear Waves in Nonideal Fluids, High-order entropy-conservative schemes and kinetic relations for van der Waals fluids, The Riemann problem and the existence of weak solutions to a system of mixed-type in dynamic phase transition, Admissible Riemann solvers for genuinely nonlinear \(p\)-systems of mixed type

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