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

10.20347/WIAS.PREPRINT.2786

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.

Download Documents

  • PDF Version of November 02, 2020 (730 kByte)
  • PDF Version of January 24, 2022 (744 kByte)