Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients

Ray N, Schulz R (2022)


Publication Type: Journal article

Publication year: 2022

Journal

DOI: 10.1017/S0956792522000018

Abstract

Structural changes of the pore space and clogging phenomena are inherent to many porous media applications. However, related analytical investigations remain challenging due to potentially vanishing coefficients in the respective systems of partial differential equations. In this research, we apply an appropriate scaling of the unknowns and work with porosity-weighted function spaces. This enables us to prove existence, uniqueness and non-negativity of weak solutions to a combined flow and transport problem with vanishing, but prescribed porosity field, permeability and diffusion.

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How to cite

APA:

Ray, N., & Schulz, R. (2022). Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients. European Journal of Applied Mathematics. https://dx.doi.org/10.1017/S0956792522000018

MLA:

Ray, Nadja, and Raphael Schulz. "Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients." European Journal of Applied Mathematics (2022).

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