Positively invariant regions for a problem in phase transitions

DOI10.1007/BF00250845zbMath0614.35005MaRDI QIDQ1820302

Victor Roytburd, Marshall Slemrod

Publication date: 1986

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

zbMATH Keywords

phase transitionsequilibrium configurationsvan der Waals fluidfirst orderMaxwell constructionpositively invariant regions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear higher-order PDEs (35G20) Phase transitions (general) in equilibrium statistical mechanics (82B26)

Related Items

Existence and asymptotic behavior of solutions to inhomogeneous equations of elasticity with little viscosity, The Riemann problem for a class of nonlinear degenerate equations

Cites Work

• Convergence of the viscosity method for isentropic gas dynamics
• Quasiconvexity and relaxation of nonconvex problems in the calculus of variations
• Convergence of approximate solutions to conservation laws
• Structured phase transitions on a finite interval
• One-dimensional structured phase transformations under prescribed loads
• Equilibrium of bars
• On the van der Waals Theory of the Vapor-Liquid Equilibrium. I. Discussion of a One-Dimensional Model
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