Strong solutions to 1D compressible Navier-Stokes/Allen-Cahn system with free boundary. (English) Zbl 1428.35356
Summary: This paper is concerned with a diffuse interface model for two-phase flow of compressible fluids with a type of free boundary. We establish the existence and uniqueness of global strong solutions of a coupled Navier-Stokes/Allen-Cahn system in 1D.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 35D35 | Strong solutions to PDEs |
| 35R35 | Free boundary problems for PDEs |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
| 76T99 | Multiphase and multicomponent flows |
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