Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

On the Blow-up Criterion of Smooth Solutions to the MHD System in BMO Space

On the Blow-up Criterion of Smooth Solutions to the MHD System in BMO Space In this paper we study the blow-up criterion of smooth solutions to the incompressible magnetohydrodynamics system in BMO space. Let (u(x, t), b(x, t)) be smooth solutions in (0, T). It is shown that the solution (u(x, t), b(x, t)) can be extended beyond t = T if (u(x, t), b(x, t)) ∈ L 1(0, T; BMO) or the vorticity (rot u(x, t), rot b(x, t)) ∈ L1(0, T;BMO) or the deformation (Def u(x, t), Def b(x, t)) ∈ L1(0, T;BMO). http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

On the Blow-up Criterion of Smooth Solutions to the MHD System in BMO Space

Acta Mathematicae Applicatae Sinica , Volume 22 (3) – Jan 1, 2006

Loading next page...
 
/lp/springer-journals/on-the-blow-up-criterion-of-smooth-solutions-to-the-mhd-system-in-bmo-gb5kXAGNhM

References (9)

Publisher
Springer Journals
Copyright
Copyright © 2006 by Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-006-0316-5
Publisher site
See Article on Publisher Site

Abstract

In this paper we study the blow-up criterion of smooth solutions to the incompressible magnetohydrodynamics system in BMO space. Let (u(x, t), b(x, t)) be smooth solutions in (0, T). It is shown that the solution (u(x, t), b(x, t)) can be extended beyond t = T if (u(x, t), b(x, t)) ∈ L 1(0, T; BMO) or the vorticity (rot u(x, t), rot b(x, t)) ∈ L1(0, T;BMO) or the deformation (Def u(x, t), Def b(x, t)) ∈ L1(0, T;BMO).

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jan 1, 2006

There are no references for this article.