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- Istituto Nazionale di Fisica Nucleare, Sezione di PaviaIT138 papers
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5 papers · 2 filters
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…
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…
Global solution and long-time behavior for a problem of phase segregation of the Allen-Cahn type
Pierluigi Colli, Gianni Gilardi, Paolo Podio-Guidugli +1
In this paper we study a model for phase segregation consisting in a sistem of a partial and an ordinary differential equation. By a careful definition of maximal solution to the l…
Nonlinear mobility continuity equations and generalized displacement convexity
José Antonio Carrillo, Stefano Lisini, Giuseppe Savaré +1
We consider the geometry of the space of Borel measures endowed with a distance that is defined by generalizing the dynamical formulation of the Wasserstein distance to concave, no…
A Family of Nonlinear Fourth Order Equations of Gradient Flow Type
Daniel Matthes, Robert J. McCann, Giuseppe Savar'e
Global existence and long-time behavior of solutions to a family of nonlinear fourth order evolution equations on are studied. These equations constitute gradient flows for t…