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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.