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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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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DOI: https://doi.org/10.1007/s00021-016-0252-y