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Strong solutions to 1D compressible Navier‐Stokes/Allen‐Cahn system with free boundary
Author(s) -
Ding Shijin,
Li Yinghua,
Tang Ying
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5692
Subject(s) - uniqueness , mathematics , compressibility , boundary (topology) , free boundary problem , mathematical analysis , navier–stokes equations , type (biology) , compressible flow , flow (mathematics) , boundary value problem , allen–cahn equation , mechanics , geometry , physics , ecology , biology
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.