STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING-Reference-Cited by-同舟云学术

STATIONARY SOLUTIONS TO A QUASI-NEWTONIAN FLOW WITH VISCOUS HEATING

Published:1995-09 Issue:06 Volume:05 Page:725-738
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BARANGER JACQUES¹,MIKELIĆ ANDRO¹

Affiliation:

1. CNRS URA 740, Laboratoire d’Analyse Numérique, Bât. 101, Université Lyon 1, 43 bd. du 11 novembre 1918, 69622 Villeurbanne Cedex, France

Abstract

System of equations describing the stationary flow of a quasi-Newtonian fluid, with temperature-dependent viscosity and with a viscous heating, is considered. Existence of at least one appropriate weak solution is proved, i.e. we get existence of at least one velocity field having finite energy and existence of a non-negative temperature field. Its regularity is a consequence of the L1-forcing term generated by the viscous heating.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202595000401

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