Abels, Helmut and Daube, Johannes and Kraus, Christiane (2019) Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension. ASYMPTOTIC ANALYSIS, 113 (1-2). pp. 51-86. ISSN 0921-7134, 1875-8576
Full text not available from this repository. (Request a copy)Abstract
For the two-phase incompressible Navier-Stokes equations with surface tension, we derive an appropriate weak formulation incorporating a variational formulation using divergence-free test functions. We prove a consistency result to justify our definition and, under reasonable regularity assumptions, we reconstruct the pressure function from the weak formulation.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PARABOLIC PDES; Fluid mechanics; Navier-Stokes equations; free boundary problems; surface tension |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Helmut Abels |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 27 Apr 2020 10:01 |
| Last Modified: | 27 Apr 2020 10:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/27809 |
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