Pressure Reconstruction for Weak Solutions of the Two-Phase Incompressible Navier--Stokes Equations with Surface Tension
Analysis of PDEs
2018-01-16 v1
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.
Keywords
Cite
@article{arxiv.1801.04840,
title = {Pressure Reconstruction for Weak Solutions of the Two-Phase Incompressible Navier--Stokes Equations with Surface Tension},
author = {Helmut Abels and Johannes Daube and Christiane Kraus},
journal= {arXiv preprint arXiv:1801.04840},
year = {2018}
}
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31 pages