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12 papers · 2 filters
On a non-isothermal model for nematic liquid crystals
E. Feireisl, E. Rocca, G. Schimperna
A model describing the evolution of a liquid crystal substance in the nematic phase is investigated in terms of three basic state variables: the {\it absolute temperature} $\teta$,…
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…
Trajectory and smooth attractors for Cahn-Hilliard equations with inertial term
Maurizio Grasselli, Giulio Schimperna, Sergey Zelik
The paper is devoted to a modification of the classical Cahn-Hilliard equation proposed by some physicists. This modification is obtained by adding the second time derivative of th…
BV solutions and viscosity approximations of rate-independent systems
Alexander Mielke, Riccarda Rossi, Giuseppe Savare'
In the nonconvex case solutions of rate-independent systems may develop jumps as a function of time. To model such jumps, we adopt the philosophy that rate independence should be c…
Long-time behaviour of a thermomechanical model for adhesive contact
Elena Bonetti, Giovanna Bonfanti, Riccarda Rossi
This paper deals with the large-time analysis of a PDE system modelling contact with adhesion, in the case when thermal effects are taken into account. The phenomenon of adhesive c…
Thermal effects in adhesive contact: modelling and analysis
Elena Bonetti, Giovanna Bonfanti, Riccarda Rossi
In this paper, we consider a contact problem with adhesion between a viscoelastic body and a rigid support, taking thermal effects into account. The PDE system we deal with is deri…