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Attractors for nonlinear reaction-diffusion systems in unbounded domains via the method of short trajectories
Maurizio Grasselli, Dalibor Pražák, Giulio Schimperna
We consider a nonlinear reaction-diffusion equation settled on the whole euclidean space. We prove the well-posedness of the corresponding Cauchy problem in a general functional se…
On the 2D Cahn-Hilliard equation with inertial term
Maurizio Grasselli, Giulio Schimperna, Sergey Zelik
P. Galenko et al. proposed a modified Cahn-Hilliard equation to model rapid spinodal decomposition in non-equilibrium phase separation processes. This equation contains an inertial…
Long time convergence for a class of variational phase field models
Pierluigi Colli, Danielle Hilhorst, Francoise Issard-Roch +1
In this paper we analyze a class of phase field models for the dynamics of phase transitions which extend the well-known Caginalp and Penrose-Fife models. Existence and uniqueness…
Global and exponential attractors for the Penrose-Fife system
Giulio Schimperna
The Penrose-Fife system for phase transitions is addressed. Dirichlet boundary conditions for the temperature are assumed. Existence of global and exponential attractors is proved.…