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arXiv · 1912.00135

Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains

Hirokazu Saito·Xin Zhang
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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.

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Hirokazu Saito, Xin Zhang. 2019-11-30. Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains. https://arxiv.org/abs/1912.00135

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