Global regularity for the 3D micropolar fluid flows-Reference-Cited by-同舟云学术

Global regularity for the 3D micropolar fluid flows

Published:2022 Issue:6 Volume:36 Page:1967-1970
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Alghamdi Ahmad¹,Gala Sadek²,Ragusa Maria³

Affiliation:

1. Department of Mathematical Science, Faculty of Applied Science, Umm Al-Qura University, Makkah, Saudi Arabia

2. Department of Mathematics, ENS of Mostaganem, Mostaganem, Algeria + Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, Catania, Italy

3. Dipartimento di Matematica e Informatica, Università di Catania, Viale Andrea Doria, Catania, Italy + RUDN University, Moscow, Russia

Abstract

The aim of this note is to establish the global regularity of classical solutions of the 3D micropolar fluid equations for a family of large initial data with finite energy.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference8 articles.

1. R.A. Adams and J.J. Fournier, Sobolev spaces, 2nd Ed. Academic Press, New York, 2003.

2. A. C. Eringen, Theory of micropolar fluids. J. Math. Mech. 16 (1966), 1-18.

3. G. Galdi and S. Rionero, A note on the existence and uniqueness of solutions of micropolar fluid equations, Int. J. Engrg. Sci. 14 (1977) 105-108.

4. G. Lukaszewicz, Micropolar fluids. Theory and applications. Modeling and Simulation in Science, Engineering and Technology. Birkhauser Boston, Inc., Boston, MA, 1999.

5. G. Lukaszewicz, On the existence, uniqueness and asymptotic properties for solutions of flows of asymmetric fluids. Rendiconti della Accademia Nazionale delle Scienze detta dei XL. Memorie di Matematica Serie V 1989; 13(1) :105-120, MR 91d:35174.Zbl 692.76020.

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