On weak solutions to a diffuse interface model of a binary mixture of compressible fluids | Zendy

Eduard Feireisl | Zendy

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On weak solutions to a diffuse interface model of a binary mixture of compressible fluids

Author(s) -

Eduard Feireisl

Publication year - 2015

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2016.9.173

Subject(s) - compressibility , binary number , regular polygon , euler equations , euler's formula , mathematics , physics , classical mechanics , mechanics , mathematical analysis , geometry , arithmetic

We consider the Euler-Cahn-Hilliard system proposed by Lowengrub and Truskinovsky describing the motion of a binary mixture of compressible fluids. We show that the associated initial-value problem possesses infinitely many global-in-time weak solutions for any finite energy initial data. A modification of the method of convex integration is used to prove the result.

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