Beltrami’s completeness for 𝕃p symmetric matrix fields

DOI10.1142/S0218202522500282zbMath1495.35169MaRDI QIDQ5104585

Bassem Bahouli, Aissa Aibeche, Chérif Amrouche

Publication date: 14 September 2022

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

zbMATH Keywords

boundary conditionssymmetric matrix fieldsbi-Laplacian problemBeltrami's completenessBeltrami's-type decomposition

Mathematics Subject Classification ID

PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Cauchy elasticity with dislocations in the small strain assumption
• Beltrami's solutions of general equilibrium equations in continuum mechanics
• On the characterizations of matrix fields as linearized strain tensor fields
• Characterization of the kernel of the operator CURL CURL
• Functional analysis, Sobolev spaces and partial differential equations
• The complementing and Agmon's conditions in finite elasticity, three dimensions
• On the curl operator and some characterizations of matrix fields in Lipschitz domains
• The complementing and Agmon's conditions in finite elasticity
• Hodge decomposition for symmetric matrix fields and the elasticity complex in Lipschitz domains
• A compatible-incompatible decomposition of symmetric tensors inL^pwith application to elasticity
• Applications of Estimates near the Boundary to Regularity of Solutions in Linearized Elasticity
• Finite Element Methods for Navier-Stokes Equations
• Vector potentials in three-dimensional non-smooth domains
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
• Vector Potentials with Mixed Boundary Conditions. Application to the Stokes Problem with Pressure and Navier-type Boundary Conditions

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