Robust exponential attractors for a family of nonconserved phase-field systems with memory

DOI10.3934/DCDS.2005.12.1019zbMath1165.35325OpenAlexW2095206523MaRDI QIDQ556506

Stefania Gatti, Vittorino Pata, Marco Squassina, Maurizio Grasselli

Publication date: 21 June 2005

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2005.12.1019

zbMATH Keywords

strongly continuous semigroupsphase-field modelsmemory effectsabsorbing setsrobust exponential attractors

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Related Items (8)

On the local existence of solutions of equations with memory not solvable with respect to the time derivative ⋮ On solvability of degenerate linear evolution equations with memory effects ⋮ Global exponential attraction for multi-valued semidynamical systems with application to delay differential equations without uniqueness ⋮ Study of degenerate evolution equations with memory by operator semigroup methods ⋮ Weak exponential attractors for Coleman-Gurtin equations with dynamic boundary conditions possessing different memory kernels ⋮ Robustness of exponential attractors for infinite dimensional dynamical systems with small delay and application to 2D nonlocal diffusion delay lattice systems ⋮ Regular Global Attractors for Wave Equations with Degenerate Memory ⋮ Global exponential \(\kappa\)-dissipative semigroups and exponential attraction

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