The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion: Nonisothermal case

DOI10.1016/0022-0396(86)90031-8zbMath0659.76076OpenAlexW2048652329MaRDI QIDQ1112679

Harumi Hattori

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90031-8

zbMATH Keywords

Riemann problemone-parameter family of solutionsshockscontact discontinuitiesrarefaction wavesphase boundariesvan der Waals fluidelementary wavesentropy rate admissibility criterion

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Foundations of fluid mechanics (76A02)

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Dynamics of propagating phase boundaries: Adiabatic theory for thermoelastic solids, The Riemann problem for thermoelastic materials with phase change, Stability of non-isothermal phase transitions in a steady van der Waals flow, EXISTENCE OF TRAVELLING WAVES IN NON-ISOTHERMAL PHASE DYNAMICS, Properties of Rankine-Hugoniot curves for van der Waals fluids., Admissible wave fans in nonlinear hyperbolic systems, A fluid-mixture type algorithm for compressible multicomponent flow with van der Waals equation of state, On the mechanical dissipation of solutions to the Riemann problem for impact involving a two-phase elastic material, Existence of multidimensional phase transitions in a non-isothermal van der Waals fluid, Propagating phase boundaries: Formulation of the problem and existence via the Glimm method, Uniqueness of admissible solutions of the Riemann problem for a system of conservation laws of mixed type, Kinetic relations and the propagation of phase boundaries in solids, The Riemann problem and the existence of weak solutions to a system of mixed-type in dynamic phase transition, EXISTENCE OF SOLUTIONS WITH MOVING PHASE BOUNDARIES IN THERMOELASTICITY, Admissible Riemann solvers for genuinely nonlinear \(p\)-systems of mixed type, Exact Riemann solvers for conservation laws with phase change

Cites Work

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• The Riemann problem for a van der Waals fluid with entropy rate admissibility criterion-isothermal case
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• The Riemann problem for general systems of conservation laws
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• The entropy rate admissibility criterion for solutions of hyperbolic conservation laws
• On the properties of entropy rate in the entropy rate admissibility criterion