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.
               
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