Stabilization of solutions to a FitzHugh-Nagumo type system
DOI10.1007/S10955-009-9886-YzbMath1187.82090OpenAlexW2042867268MaRDI QIDQ963278
Danielle Hilhorst, Piotr Rybka
Publication date: 19 April 2010
Published in: Journal of Statistical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10955-009-9886-y
gradient flowŁojasiewicz inequalityinfinite dimensional dynamical systemsstabilization of solutionsFitzHugh-Nagumo systemdiblock copolymer
Reaction-diffusion equations (35K57) Statistical mechanics of polymers (82D60) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26)
Cites Work
- Unnamed Item
- Unnamed Item
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- Long time convergence for a class of variational phase-field models
- Some mathematical aspects of the micro-phase separation in diblock copolymers
- Geometric theory of semilinear parabolic equations
- On semi- and subanalytic geometry
- A non-smooth version of the Lojasiewicz-Simon theorem with applications to non-local phase-field systems
- Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy
- Convergence of solutions to cahn-hilliard equation
- Finite dimensional exponential attractor for the phase field model
- Counting stationary solutions of the Cahn–Hilliard equation by transversality arguments
- Large time behaviour of solutions to Penrose–Fife phase change models
- Long-time stabilization of solutions to the Ginzburg-Landau equations of superconductivity
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