Variational methods for steady‐state Darcy/Fick flow in swollen and poroelastic solids

DOI10.1002/ZAMM.201600269arXiv1703.04850OpenAlexW2606418967MaRDI QIDQ6065448

Tomáš Roubíček

Publication date: 11 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04850

zbMATH Keywords

thermodynamicselectrostaticsconstrained minimizers and saddle pointsSchauder fixed pointsstress assisted diffusion by chemical-potential gradient

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Electromagnetic effects in solid mechanics (74F15) Thermodynamics of continua (80A17) Variational principles of physics (49S05) PDEs in connection with mechanics of deformable solids (35Q74) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (1)

Cahn-Hilliard equation with capillarity in actual deforming configurations

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