Local well-posedness for Frémond’s model of complete damage in elastic solids

DOI10.1017/S0956792521000024zbMath1504.35532arXiv2006.14240OpenAlexW3135026906MaRDI QIDQ5056768

Goro Akagi, Giulio Schimperna

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.14240

zbMATH Keywords

local existence\textit{a priori} estimatesdegenerate elliptic-parabolic systemdamage phenomena

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Brittle damage (74R05) Elastic materials (74B99) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35) Initial-boundary value problems for mixed-type systems of PDEs (35M33) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

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