Comparison Theorems and Similarity Solution Approximations for a Nonlinear Diffusion Equation Arising in the Study of Soft Tissue

DOI10.1137/0144037zbMath0598.76009OpenAlexW2010523439MaRDI QIDQ3734005

Mark H. Holmes

Publication date: 1984

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a68b4d64322162738e9e41e6e69a6997773ac16e

zbMATH Keywords

maximum principlesapproximate solutionsasymptotic methodscomparison theoremssimilarity solutionnonlinear diffusion equationsolid-fluid interactionnonlinear constitutive equationbiphase continuum model of soft tissue

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Foundations of fluid mechanics (76A02)

Related Items (6)

Capillary rise of a liquid into a deformable porous material ⋮ Numerical study of tissue deformation behaviour under impact loading ⋮ Imbibition of a liquid droplet on a deformable porous substrate ⋮ Flow-induced deformation from pressurized cavities in absorbing porous tissues ⋮ Application to maximum principles to boundary value problems in nonlinear heat conduction ⋮ Flow and deformation in poroelasticity. I: Unusual exact solutions.

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