Global well-posedness theory for a class of coupled parabolic-elliptic systems

DOI10.1016/j.jmaa.2020.123923zbMath1442.35074OpenAlexW3003643385MaRDI QIDQ777145

Tetyana Malysheva, Luther W. White

Publication date: 3 July 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2020.123923

zbMATH Keywords

coupled diffusion-deformation systemsthermo-chemo-poroelasticity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with mechanics of deformable solids (35Q74) Initial-boundary value problems for systems of linear higher-order PDEs (35G46)

Cites Work

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• On a nonstationary nonlinear coupled system
• Existence and uniqueness for a coupled parabolic-elliptic model with applications to magnetic relaxation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Diffusion in poro-elastic media
• Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
• Blow-up phenomenon and global solution to a coupled parabolic-elliptic system of chemotaxis.