Exponential attractors for a phase-field model with memory and quadratic nonlinearity

DOI10.1512/iumj.2004.53.2413zbMath1070.37056OpenAlexW2062290644MaRDI QIDQ4831946

Maurizio Grasselli, Vittorino Pata, Stefania Gatti

Publication date: 3 January 2005

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2004.53.2413

zbMATH Keywords

phase-field modelquadratic nonlinearityexponential attractormemory effect

Mathematics Subject Classification ID

Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Phase transformations in solids (74N99) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20)

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Exponential attractors for a conserved phase-field system with memory ⋮ Asymptotic behavior of a semilinear problem in heat conduction with long time memory and non-local diffusion ⋮ Long time behavior of stochastic parabolic problems with white noise in materials with thermal memory ⋮ Asymptotic behavior of nonlocal partial differential equations with long time memory ⋮ Invariant measures for dissipative dynamical systems: abstract results and applications ⋮ 3-D viscous Cahn-Hilliard equation with memory ⋮ Stability of global and exponential attractors for a three‐dimensional conserved phase‐field system with memory

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