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Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients.
- Source :
-
European Journal of Applied Mathematics . Feb2023, Vol. 34 Issue 1, p55-76. 22p. - Publication Year :
- 2023
-
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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POROUS materials
*PARTIAL differential equations
*FUNCTION spaces
*POROSITY
Subjects
Details
- Language :
- English
- ISSN :
- 09567925
- Volume :
- 34
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- European Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 161900598
- Full Text :
- https://doi.org/10.1017/S0956792522000018