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

0452994 - MÚ 2017 RIV US eng J - Journal Article
Feireisl, Eduard
On weak solutions to a diffuse interface model of a binary mixture of compressible fluids.
Discrete and Continuous Dynamical systems - Series S. Roč. 9, č. 1 (2016), s. 173-183. ISSN 1937-1632. E-ISSN 1937-1179
R&D Projects: GA ČR GA13-00522S
Institutional support: RVO:67985840
Keywords : Euler-Cahn-Hilliard system * weak solution * diffuse interface model
Subject RIV: BA - General Mathematics
Impact factor: 0.781, year: 2016
http://aimsciences.org/journals/displayArticlesnew.jsp?paperID=12093

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.
Permanent Link: http://hdl.handle.net/11104/0253885