A note on local higher regularity in the dynamic linear relaxed micromorphic model

DOI10.1002/mma.7661zbMath1479.35173arXiv2006.05448OpenAlexW3186014368MaRDI QIDQ5015629

Sebastian Owczarek, Ionel-Dumitrel Ghiba, Patrizio Neff

Publication date: 9 December 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.05448

zbMATH Keywords

extension operatorlocal regularitygeneralized continuatangential trace

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Micromechanics of solids (74M25) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Related Items

Primal and mixed finite element formulations for the relaxed micromorphic model ⋮ Higher order Bernstein-Bézier and Nédélec finite elements for the relaxed micromorphic model ⋮ A local regularity result for the relaxed micromorphic model based on inner variations ⋮ Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)