Cauchy problem for incompressible neo-Hookean materials

DOI10.1007/s00205-023-01851-2OpenAlexW3212548303MaRDI QIDQ2690134

Yanyan Li

Publication date: 15 March 2023

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.03955

zbMATH Keywords

ideal fluidneo-Hookean solidincompressible neo-Hookean elasticity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Linear waves in solid mechanics (74J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items

Local well-posedness for incompressible neo-Hookean elastic equations in almost critical Sobolev spaces

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