Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1239.76070
Dong, Bo-Qing; Jia, Yan; Zhang, Wenliang
An improved regularity criterion of three-dimensional magnetohydrodynamic equations. (English)
[J] Nonlinear Anal., Real World Appl. 13, No. 3, 1159-1169 (2012). ISSN 1468-1218

Summary: An improved regularity criterion for a weak solution of three-dimensional magnetohydrodynamic equations is obtained. Employing the Fourier localization technique, it is proved that weak solutions become regular on $(0,T]$ if the summation of velocity field $u$ and magnetic field $b$ belong to the largest critical spaces: $u+b\in L^{\frac{2}{1+r}}(0,T;(B^r_{\infty, \infty}(\bbfR^3))$, $-1<r\le 1$. This obviously extends the previous results.

MSC 2000:: *76W05 Flows in presence of electromagnetic forces
35Q35 Other equations arising in fluid mechanics
76M25 Other numerical methods

Keywords: MHD equations; regularity criterion; Besov space

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]