STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING

Authors
BARANGER J MIKELIC A
Citation
J. Baranger et A. Mikelic, STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING, Mathematical models and methods in applied sciences, 5(6), 1995, pp. 725-738
Citations number
17
Categorie Soggetti
Mathematical Method, Physical Science",Mathematics
Journal title
Mathematical models and methods in applied sciences → ACNP
ISSN journal
02182025
Volume
5
Issue
6
Year of publication
1995
Pages
725 - 738
Database
ISI
SICI code
0218-2025(1995)5:6<725:SSTAQF>2.0.ZU;2-G
Abstract
System of equations describing the stationary flow of a quasi-Newtonia n fluid, with temperature-dependent viscosity and with a viscous heati ng, is considered. Existence of at least one appropriate weak solution is proved, i.e. we get existence of at least one velocity held having finite energy and existence of a non-negative temperature field. Its regularity is a consequence of the L(1)-forcing term generated by the viscous heating.