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On an Inviscid Model for Incompressible Two-Phase Flows with Nonlocal Interaction

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Abstract

We consider a diffuse interface model which describes the motion of an ideal incompressible mixture of two immiscible fluids with nonlocal interaction in two-dimensional bounded domains. This model consists of the Euler equation coupled with a convective nonlocal Cahn-Hilliard equation. We establish the existence of globally defined weak solutions as well as well-posedness results for strong/classical solutions.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Florida International University, Miami, FL, 33199, USA

    Ciprian G. Gal

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  1. Ciprian G. Gal
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Correspondence to Ciprian G. Gal.

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Communicated by Eduard Feireisl

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Gal, C.G. On an Inviscid Model for Incompressible Two-Phase Flows with Nonlocal Interaction. J. Math. Fluid Mech. 18, 659–677 (2016). https://doi.org/10.1007/s00021-016-0252-y

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