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Regularity of solutions to 1D compressible Navier–Stokes–Allen–Cahn system

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In this paper, we investigate the compressible Navier–Stokes equations coupled with an Allen–Cahn phase field description, which describes two-phase patterns in a flowing liquid including phase transformations. Our purpose is… Click to show full abstract

In this paper, we investigate the compressible Navier–Stokes equations coupled with an Allen–Cahn phase field description, which describes two-phase patterns in a flowing liquid including phase transformations. Our purpose is to establish the regularity of solutions in to the 1D Navier–Stokes–Allen–Cahn system for initial data without vacuum states.

Keywords: compressible navier; stokes allen; allen cahn; cahn system; regularity solutions; navier stokes

Journal Title: Applicable Analysis
Year Published: 2019

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