Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 152
Stationary solutions to a non-Newtonian flow with viscous heating effects of the power law fluid in 3D.
Mohamed Atyq, Fouad Boughanim
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 21, 2022
March 03, 2139
April 15, 2139

Abstract: We consider the stationary flow of a heat conducting power law shear thinning fluid in a 3-dimensional bounded domain. At least one weak solution has been demonstrated, which means that there is a suitable velocity field which has finite energy and there is a non-negative temperature field. Its regularity is a consequence of the L^3-forcing term generated by the viscous heating. The existence of solutions for this system was proved for the stationary case in [BARANGER, MIKELIC] and for the non-stationary in [THIERRY, MIKELIC], where the temperature belongs only to each of the Sobolev ...