Universal attractor and inertial sets for the phase field model

DOI10.1016/0893-9659(91)90076-8zbMath0773.35028OpenAlexW2043537302MaRDI QIDQ1190647

D. Brochet, Danielle Hilhorst

Publication date: 26 September 1992

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90076-8

zbMATH Keywords

Dirichlet conditionsNeumann boundary conditionsperiodic boundary conditionsphase field equationsexistence of a universal attractor

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Initial value problems for second-order parabolic systems (35K45)

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Cites Work

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• Infinite-dimensional dynamical systems in mechanics and physics
• Finite dimensional exponential attractors for semilinear wave equations with damping
• Finite dimensional exponential attractor for the phase field model
• Stefan and Hele-Shaw type models as asymptotic limits of the phase-field equations