Asymptotic behaviour of solutions of a conserved phase-field system with memory
From MaRDI portal
Publication:1429022
DOI10.1216/jiea/1181074968zbMath1037.35021OpenAlexW2088736252MaRDI QIDQ1429022
Sergiu Aizicovici, Hana Petzeltová
Publication date: 29 March 2004
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jiea/1181074968
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)
Related Items
Asymptotic behavior of a nonisothermal viscous Cahn-Hilliard equation with inertial term ⋮ Convergence to equilibrium of solutions to a nonautonomous semilinear viscoelastic equation with finite or infinite memory ⋮ Asymptotic convergence of solutions to the forest kinematic model ⋮ Asymptotic stability of solutions to a semilinear viscoelastic equation with analytic nonlinearity ⋮ Convergence to steady states of solutions to nonlinear integral evolution equations ⋮ Well-posedness and asymptotic behavior of a nonautonomous, semilinear hyperbolic-parabolic equation with dynamical boundary condition of memory type ⋮ Lyapunov functions and convergence to steady state for differential equations of fractional order ⋮ Long time behavior of solutions to the Caginalp system with singular potential ⋮ Stabilization of fractional evolution systems with memory ⋮ Uniform global attractors for non-isothermal viscous and non-viscous Cahn-Hilliard equations with dynamic boundary conditions
Cites Work
- Continuous and discrete dynamics near manifolds of equilibria
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Compact sets in the space \(L^ p(0,T;B)\)
- Convergence of global and bounded solutions of the wave equation with linear dissipation and analytic nonlinearity
- Convergence of solutions to second-order gradient-like systems with analytic nonlinearities
- Dissipativity of a conserved phase-field system with memory
- Long-time behaviour and convergence towards equilibria for a conserved phase field model.
- Uniqueness and long-time behavior for the conserved phase-field system with memory
- Convergence for semilinear degenerate parabolic equations in several space dimensions
- Nonconvergent bounded trajectories in semilinear heat equations
- Existence and asymptotic results for a system of integro-partial differential equations
- Maximal attractor and inertial sets for a conserved phase field model
- Asymptotic stability in viscoelasticity
- Long-time convergence of solutions to a phase-field system
- The Dynamics of a Conserved Phase Field System: Stefan-like, Hele-Shaw, and Cahn-Hilliard Models as Asymptotic Limits
- Convergence of solutions to cahn-hilliard equation
- Finite dimensional exponential attractor for the phase field model
- Uniform attractors for a phase-field model with memory and quadratic nonlinearity
- Long-time stabilization of solutions to a phase-field model with memory
- Long-time stabilization of solutions to the Ginzburg-Landau equations of superconductivity
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Asymptotic behaviour of solutions of a conserved phase-field system with memory
