Matioc, Bogdan-Vasile and Prokert, Georg (2022) Two-phase Stokes flow by capillarity in the plane: The case of different viscosities. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 29 (5): 54. ISSN 1021-9722, 1420-9004
Full text not available from this repository. (Request a copy)Abstract
We study the two-phase Stokes flow driven by surface tension for two fluids of different viscosities, separated by an asymptotically flat interface representable as graph of a differentiable function. The flow is assumed to be two-dimensional with the fluids filling the entire space. We prove well-posedness and parabolic smoothing in Sobolev spaces up to critical regularity. The main technical tools are an analysis of nonlinear singular integral operators arising from the hydrodynamic single and double layer potential, spectral results on the corresponding integral operators, and abstract results on nonlinear parabolic evolution equations.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUASI-STATIC MOTION; MUSKAT PROBLEM; INTERFACE; REGULARITY; DROP; Stokes problem; Two-phase flow; Singular integrals; Contour integral formulation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 05 Dec 2023 09:12 |
| Last Modified: | 05 Dec 2023 09:12 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56881 |
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