Repository: Freie Universit├Ąt Berlin, Math Department

Analysis of a compressible Stokes-flow with degenerating and singular viscosity

Farshbaf-Shaker, M. Hassan and Thomas, Marita (2020) Analysis of a compressible Stokes-flow with degenerating and singular viscosity. Preprint . pp. 1-45. (Submitted)

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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.

Item Type:Article
Additional Information:submitted: November 2, 2020 (revision: January 24, 2022)
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:2675
Deposited By: Monika Drueck
Deposited On:24 Jan 2022 15:19
Last Modified:24 Jan 2022 15:20

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