WIAS Preprint No. 2786, (2020)
Analysis of a compressible Stokes-flow with degenerating and singular viscosity
Authors
- Farshbaf Shaker, Mohammad Hassan
ORCID: 0000-0003-0543-5938 - Thomas, Marita
ORCID: 0000-0001-9172-014X
2010 Mathematics Subject Classification
- 35D30 35Q35 35K92 35J70 76Nxx 76M30
Keywords
- Suspensions, compressible flows, degenerate and singular problems
DOI
Abstract
In this paper we show the existence of a weak solution for a compressible single-phase Stokes flow with mass transport accounting for the degeneracy and the singular behavior of a density-dependent viscosity. The analysis is based on an implicit time-discrete scheme and a Galerkin-approximation in space. Convergence of the discrete solutions is obtained thanks to a diffusive regularization of p-Laplacian type in the transport equation that allows for refined compactness arguments on subdomains.
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