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19952026
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math.AP2009

Global attractors for gradient flows in metric spaces

Riccarda Rossi, Antonio Segatti, Ulisse Stefanelli

We develop the long-time analysis for gradient flow equations in metric spaces. In particular, we consider two notions of solutions for metric gradient flows, namely energy and gen…

math.AP2009★ 113 cited

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…

math.AP2009★ 23 cited

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…

math.AP2009★ 1 cited

Smooth and discontinuous junctions in the p-system

Rinaldo M. Colombo, Francesca Marcellini

Consider the p-system describing the subsonic flow of a fluid in a pipe with section a = a(x). We prove that the resulting Cauchy problem generates a Lipschitz semigroup, provided…

math.AP2009★ 1 cited

Control of the Continuity Equation with a Non Local Flow

Rinaldo M. Colombo, Michael Herty, Magali Mercier

This paper focuses on the optimal control of weak (i.e. in general non smooth) solutions to the continuity equation with non local flow. Our driving examples are a supply chain mod…