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- W4301229087 abstract "In this paper we study a local and a non-local regularization of the system of nonlinear elastodynamics with a non-convex energy. We show that solutions of the non-local model converge to those of the local model in a certain regime. The arguments are based on the relative entropy framework and provide an example how local and non-local regularizations may compensate for non-convexity of the energy and enable the use of the relative entropy stability theory -- even if the energy is not quasi- or poly-convex." @default.
- W4301229087 created "2022-10-05" @default.
- W4301229087 creator A5026383841 @default.
- W4301229087 date "2014-05-09" @default.
- W4301229087 modified "2023-10-16" @default.
- W4301229087 title "Relative entropy in multi-phase models of 1d elastodynamics: Convergence of a non-local to a local model" @default.
- W4301229087 doi "https://doi.org/10.48550/arxiv.1405.2223" @default.
- W4301229087 hasPublicationYear "2014" @default.
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