Compactness properties for families of quasistationary solutions of some evolution equations

DOI10.1090/S0002-9947-02-03035-0zbMath1008.47065MaRDI QIDQ4537405

Giuseppe Savaré

Publication date: 30 June 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Stefan problemevolution equationsphase-field modelscompactness methodsquasistationary solutions

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Stefan problems, phase changes, etc. (80A22) Methods involving semicontinuity and convergence; relaxation (49J45) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Nonlinear evolution equations (47J35)

Related Items

HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL, Unnamed Item, Gradient flows of non convex functionals in Hilbert spaces and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• General existence theorems for unilateral problems in continuum mechanics
• Convex analysis and measurable multifunctions
• An introduction to \(\Gamma\)-convergence
• The quasistationary phase field equations with Neumann boundary conditions
• The gradient theory of phase transitions and the minimal interface criterion
• On a class of interpolation spaces
• Models of phase transitions
• Solutions for the two-phase Stefan problem with the Gibbs–Thomson Law for the melting temperature