Work

Linearization of finite-strain poro-visco-elasticity with degenerate mobility

Year: 2025

Type: article

Abstract: A quasistatic nonlinear model for finite-strain poro-visco-elasticity is considered in the Lagrangian frame using Kelvin-Voigt rheology. The model consists of a mechanical equation which is coupled to a diffusion equation with a degenerate mobility. Having shown existence of weak solutions in a previous work, the focus is first on showing boundedness of the concentration using Moser iteration. Afterwards, it is assumed that the external loading is small, and it is rigorously shown that solutions of the nonlinear, finite-strain system converge to solutions of the linear, small-strain system.

Source: Nonlinear Differential Equations and Applications NoDEA

DOI: 10.1007/s00030-025-01100-3

Author: Willem J. M. van Oosterhout

Institution: Weierstrass Institute for Applied Analysis and Stochastics

Language: English

Topic: Advanced Numerical Methods in Computational Mathematics

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Deutsche Forschungsgemeinschaft