Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility

URN to cite this document:: urn:nbn:de:bvb:355-epub-582967
DOI to cite this document:: 10.5283/epub.58296

Abels, Helmut

; Fei, Mingwen ; Moser, Maximilian

License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 22 May 2024 06:45

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Abstract

We consider the sharp interface limit of a Navier–Stokes/Allen Cahn equation in a bounded smooth domain in two space dimensions, in the case of vanishing mobility , where the small parameter related to the thickness of the diffuse interface is sent to zero. For well-prepared initial data and sufficiently small times, we rigorously prove convergence to the classical two-phase Navier–Stokes system ...