A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples—Part 2

A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples—Part 2

The model for perfused tissue undergoing deformation taking into account the local exchange between tissue and blood and lymphatic systems is presented. The Lie symmetry analysis in order to identify its symmetry properties is applied. Several families of steady-state solutions in closed formulae ar...

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Bibliographic Details
Main Authors: Roman Cherniha, Vasyl’ Davydovych, Joanna Stachowska-Pietka, Jacek Waniewski
Format: Article
Language:English
Published: MDPI AG 2022-01-01
Series:Symmetry
Subjects:
perfused tissue
fluid and solute transport
nonlinear PDE
Lie symmetry
steady-state solution
nonlinear stress tensor
Online Access:https://www.mdpi.com/2073-8994/14/1/109

Internet

https://www.mdpi.com/2073-8994/14/1/109

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