Quasiconvex Elastodynamics: Weak‐Strong Uniqueness for Measure‐Valued Solutions

DOI10.1002/CPA.21801zbMath1437.35489arXiv1707.08368OpenAlexW2738616279WikidataQ128953311 ScholiaQ128953311MaRDI QIDQ5381061

Stefano Spirito, Konstantinos Koumatos

Publication date: 7 June 2019

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08368

zbMATH Keywords

relative entropy methodstrongly quasiconvex stored-energy function

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Hyperbolic conservation laws (35L65) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (5)

Visco-elastodynamics at large strains Eulerian ⋮ On the uniqueness of solutions to hyperbolic systems of conservation laws ⋮ A new class of entropy stable schemes for hyperbolic systems: Finite element methods ⋮ $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and Statics ⋮ Weak-strong uniqueness for measure-valued solutions to the equations of quasiconvex adiabatic thermoelasticity

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