Kinetic stabilization of a nonlinear sonic phase boundary

DOI10.1007/s002050050001zbMath0998.74057OpenAlexW2002544802MaRDI QIDQ1570905

Monique Sablé-Tougeron, Andrea Corli

Publication date: 17 November 2002

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002050050001

zbMATH Keywords

Cauchy problemRiemann problemelastic barglobal existence of solutionsRankine-Hugoniot conditionsGlimm-type schemeentropy dissipation rateinitiation of phase transitionone-dimensional conservation lawssonic phase boundary

Mathematics Subject Classification ID

Dynamics of phase boundaries in solids (74N20) Hyperbolic conservation laws (35L65)

Related Items (6)

Thermo-elastic aspects of dynamic nucleation ⋮ The Riemann problem for thermoelastic materials with phase change ⋮ The mathematical theory of splitting-merging patterns in phase transition dynamics ⋮ Sonic hyperbolic phase transitions and Chapman-Jouguet detonations ⋮ Degenerate nonlinear hyperbolic conservation laws: Non classical geometrical theory ⋮ Helly's selection principle for functions of bounded \(p\)-variation

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