A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains | Zendy

Beneš Michal | Zendy

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A note on the regularity of thermally coupled viscous flows with critical growth in nonsmooth domains

Author(s) -

Beneš Michal

Publication year - 2012

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.2682

Subject(s) - dissipative system , mathematics , bounded function , domain (mathematical analysis) , plane (geometry) , adiabatic process , compressibility , viscous liquid , mathematical analysis , mechanics , thermodynamics , physics , geometry

We consider a coupled model for steady flows of viscous incompressible heat‐conducting fluids with dissipative and adiabatic heating and temperature‐dependent material coefficients in a plane bounded domain. The existence of a strong solution is proven by a fixed‐point technique based on Schauder theorem for sufficiently small external forces. Copyright © 2012 John Wiley & Sons, Ltd.

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