Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024421 | Nonlinear Analysis: Real World Applications | 2017 | 24 Pages |
Abstract
In this paper, we investigate an initial boundary value problem for 1D compressible Navier-Stokes/Allen-Cahn system, which describes the motion of a mixture of two viscous compressible fluids. We establish the global existence and uniqueness of strong and classical solutions of Navier-Stokes/Allen-Cahn system by using the energy estimates, structure of the equations and the properties of one dimension. Here, we emphasize that the initial vacuum is allowed here.
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Authors
Mingtao Chen, Xinwei Guo,