Undercompressive shocks for a system of hyperbolic conservation laws with cubic nonlinearity

DOI10.1006/jmaa.1998.6186zbMath0930.35106OpenAlexW2025411653MaRDI QIDQ1276345

Matthew R. Schulze, Michael Shearer

Publication date: 27 April 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://www.lib.ncsu.edu/resolver/1840.4/277

zbMATH Keywords

Riemann problemrarefaction wavesadmissible shock waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45)

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The mathematical theory of splitting-merging patterns in phase transition dynamics, Dispersive and Diffusive-Dispersive Shock Waves for Nonconvex Conservation Laws, Why many theories of shock waves are necessary: Kinetic functions, equivalent equations, and fourth-order models, Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects, NON-MONOTONIC TRAVELING WAVES IN VAN DER WAALS FLUIDS, Numerical methods with controlled dissipation for small-scale dependent shocks, Kinetics and nucleation for driven thin film flow, Diffusive-dispersive traveling waves and kinetic relations. I: Nonconvex hyperbolic conservation laws

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