On generalized solutions of two-phase flows for viscous incompressible fluids | Zendy

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On generalized solutions of two-phase flows for viscous incompressible fluids

Author(s) -

Helmut Abels

Publication year - 2007

Publication title -

interfaces and free boundaries mathematical analysis computation and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.964

H-Index - 39

eISSN - 1463-9971

pISSN - 1463-9963

DOI - 10.4171/ifb/155

Subject(s) - compressibility , phase (matter) , pressure correction method , incompressible flow , mechanics , mathematics , physics , mathematical analysis , quantum mechanics

We discuss the existence of generalized solutions of the flow of two immis- cible, incompressible, viscous Newtonian and Non-Newtonian fluids with and without surface tension in a domain ⊆ R,. Moreover, it is shown that measure-valued varifold solutions are weak solution if an energy equality is satisfied. Key words: Two-phase flow, free boundary value problems, varifold solutions, measure-valued solutions, surface tension AMS-Classification: 35Q30, 35Q35, 76D27, 76D45, 76T99

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