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

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

2008-07-04

arxiv.org/abs/0807.0744v1

Mathematics

Analysis of PDEs

Scientific paper

Rate-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.

Affiliated with

Also associated with

No associations

Rating

Modeling solutions with jumps for rate-independent systems on metric spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Modeling solutions with jumps for rate-independent systems on metric spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Modeling solutions with jumps for rate-independent systems on metric spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-598026