Local strong solution for a class of non-Newtonian fluids with heat-conducting and state function

The aim of this paper is to discuss the model for a class of non-Newtonian fluids with heat-conducting and state function. Temperature and velocity are estimated by using different methods, respectively. Furthermore, the existence and uniqueness of local strong solutions for the model are proved.

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Veröffentlicht in:Journal of mathematical physics 2019-09, Vol.60 (9)
Hauptverfasser: Zhang, Yunliang, Guo, Zhidong
Format: Artikel
Sprache:eng
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Zusammenfassung:The aim of this paper is to discuss the model for a class of non-Newtonian fluids with heat-conducting and state function. Temperature and velocity are estimated by using different methods, respectively. Furthermore, the existence and uniqueness of local strong solutions for the model are proved.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5103227