Analysis of differential equations modelling the reactive flow through a deformable system of cells

DOI10.1007/s00205-008-0118-4zbMath1160.74034OpenAlexW2031889691MaRDI QIDQ1014206

Andro Mikelić, Maria Neuss-Radu, Willi Jäger

Publication date: 27 April 2009

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

Full work available at URL: https://doi.org/10.1007/s00205-008-0118-4

zbMATH Keywords

uniquenessstrong solutionstability estimatesbiological tissue

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Flows in porous media; filtration; seepage (76S05) Biomechanics (92C10) Biomechanical solid mechanics (74L15) Reaction effects in flows (76V05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

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Reactive flows in deformable, complex media. Abstracts from the workshop held September 21--27, 2014. ⋮ Derivation of Stokes-plate-equations modeling fluid flow interaction with thin porous elastic layers ⋮ Hybridizable discontinuous Galerkin method with mixed-order spaces for nonlinear diffusion equations with internal jumps ⋮ Multiscale homogenization for fluid and drug transport in vascularized malignant tissues ⋮ A local discontinuous Galerkin scheme for Darcy flow with internal jumps ⋮ Modeling and analysis of reactive solute transport in deformable channels with wall adsorption–desorption ⋮ Analysis of differential equations modelling the reactive flow through a deformable system of cells ⋮ Continuous Galerkin and enriched Galerkin methods with arbitrary order discontinuous trial functions for the elliptic and parabolic problems with jump conditions

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