On the conditional regularity of the Navier-Stokes and related equations

• Autorzy: Dongho Chae
• Języki publikacji: EN

Abstrakty

EN

We present regularity conditions for a solution to the 3D Navier-Stokes equations, the 3D Euler equations and the 2D quasigeostrophic equations, considering the vorticity directions together with the vorticity magnitude. It is found that the regularity of the vorticity direction fields is most naturally measured in terms of norms of the Triebel-Lizorkin type.

Kategorie tematyczne

• 76B03: Existence, uniqueness, and regularity theory
• 76D05: Navier-Stokes equations
• 35Q35: PDEs in connection with fluid mechanics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2006
• Tom: 74
• Numer: 1
• Strony: 117-126

Daty

wydano

2006

Twórcy

autor

Dongho Chae

• Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Korea

Identyfikatory

DOI

10.4064/bc74-0-6