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Dissipative boundary conditions and entropic solutions in dynamical perfect plasticity

Banff International Research Station for Mathematical Innovation and Discovery

This talk is devoted to confront two different approaches to the problem of dynamic perfect plasticity. Interpreting this model as a constrained boundary value Friedrichs' system enables one to derive admissible hyperbolic boundary conditions. Using variational methods, we show the well-posedness of this problem in a suitable measure theoretic setting. We prove that this unique variational solution actually coincides with the unique entropic solution of the hyperbolic formulation. Finally, thanks to the finite speed propagation property, we establish a new short time regularity result for the solution. This is a joint work with Clément Mifsud.

Mathematics; Calculus of variations and optimal control; optimization; Partial differential equations

video/mp4

Author affiliation: Université Paris-Sud

2019-03-21

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/69015

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/