Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains
Analysis of PDEs
2019-12-03 v1
Abstract
This paper shows the unique solvability of elliptic problems associated with two-phase incompressible flows, which are governed by the two-phase Navier-Stokes equations, in unbounded domains such as the whole space separated by a compact interface and the whole space separated by a non-compact interface. As a by-product of the unique solvability of elliptic problems, we obtain the Helmholtz-Weyl decomposition for two-phase incompressible flows.
Keywords
Cite
@article{arxiv.1912.00135,
title = {Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains},
author = {Hirokazu Saito and Xin Zhang},
journal= {arXiv preprint arXiv:1912.00135},
year = {2019}
}
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46 pages