Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies

zbMath1386.74024arXiv1607.03282MaRDI QIDQ1688008

Sébastien Court, Karl Kunisch

Publication date: 4 January 2018

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03282

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Second-order nonlinear hyperbolic equations (35L70) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence of solutions of dynamical problems in solid mechanics (74H20) Quasilinear parabolic equations with (p)-Laplacian (35K92) Initial-boundary value problems for second-order hyperbolic systems (35L53)

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