Global existence of weak solution to compressible Navier-Stokes/Allen-Cahn system in three dimensions

In this paper, we construct a global weak solution to the compressible Navier-Stokes/Allen-Cahn system with possibly large initial data. The result holds in three dimensions subject to the conditions that the initial energy is finite and that the adiabatic constant γ>2.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 477; no. 2; pp. 1265 - 1295
Main Authors Chen, Senming, Wen, Huanyao, Zhu, Changjiang
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.09.2019
Subjects
Compressible Navier-Stokes/Allen-Cahn system
Global existence
Weak solution
Compressible Navier-Stokes/Allen-Cahn system
Global existence
Weak solution
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Summary:In this paper, we construct a global weak solution to the compressible Navier-Stokes/Allen-Cahn system with possibly large initial data. The result holds in three dimensions subject to the conditions that the initial energy is finite and that the adiabatic constant γ>2.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.05.012