Modeling solutions with jumps for rate-independent systems on metric spaces

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dc.creatorMielke, Alexander
dc.creatorRossi, Riccarda
dc.creatorSavaré, Giuseppe
dc.date2008-07-04
dc.date.accessioned2026-07-07T09:48:38Z
dc.date.available2026-07-07T09:48:38Z
dc.descriptionRate-independent systems allow for solutions with jumps that need additional modeling. Here we suggest a formulation that arises as limit of viscous regularization of the solutions in the extended state space. Hence, our parametrized metric solutions of a rate-independent system are absolutely continuous mappings from a parameter interval into the extended state space. Jumps appear as generalized gradient flows during which the time is constant. The closely related notion of BV solutions is developed afterwards. Our approach is based on the abstract theory of generalized gradient flows in metric spaces, and comparison with other notions of solutions is given.
dc.identifierhttps://arxiv.org/abs/0807.0744
dc.identifierhttp://arxiv.org/abs/0807.0744
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/164288
dc.subjectAnalysis of PDEs
dc.subject49Q20, 58E99
dc.titleModeling solutions with jumps for rate-independent systems on metric spaces
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