The Riemann problem and the existence of weak solutions to a system of mixed-type in dynamic phase transition

DOI10.1006/jdeq.1998.3433zbMath0929.35104OpenAlexW1984945767MaRDI QIDQ1268413

Harumi Hattori

Publication date: 28 July 1999

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

Full work available at URL: https://doi.org/10.1006/jdeq.1998.3433

zbMATH Keywords

entropy ratemixed type equationdynamic phase transitionGlimm scheme

Mathematics Subject Classification ID

Stefan problems, phase changes, etc. (80A22) PDEs of mixed type (35M10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items

The Riemann problem for thermoelastic materials with phase change, Asymptotic stability of periodic solution for compressible viscous van der Waals fluids, EXISTENCE OF SOLUTIONS WITH MOVING PHASE BOUNDARIES IN THERMOELASTICITY, Admissible Riemann solvers for genuinely nonlinear \(p\)-systems of mixed type

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