Advanced Search

Query:

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

Format:

Display: entries per page entries

Zbl 1166.35359
Zhou, Yong
A new regularity criterion for the Navier-Stokes equations in terms of the gradient of one velocity component. (English)
[J] Methods Appl. Anal. 9, No. 4, 563-578 (2002). ISSN 1073-2772

Summary: We consider the regularity criteria for the weak solutions to the Navier-Stokes equations in $\bbfR^3$. It is proved that if the gradient of any one component of the velocity field belongs to $L^{\alpha,\gamma}$ with $2/\alpha + 3/\gamma = 3/2$, $3\le\gamma < \infty$, then the weak solution actually is strong.

MSC 2000:: *35Q30 Stokes and Navier-Stokes equations
35B65 Smoothness of solutions of PDE
76D03 Existence, uniqueness, and regularity theory
76D05 Navier-Stokes equations (fluid dynamics)

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