Large time behavior of derivatives of the vorticity for the two dimensional NavierStokes flow
Preprint Series # 716 maekawa, yasunori Large time behavior of derivatives of the vorticity for the two dimensional NavierStokes flow. (2005); AbstractThis paper studies the large time asymptotic behavior of derivatives of the vorticity solving the twodimensional vorticity equations equivalent to the NavierStokes equations. It is wellknown by now that the vorticity behaves asymptotically as the Oseen vortex provided that the initial vorticity is integrable. This paper shows that each derivative of the vorticity also behave asymptotically as that of the Oseen vortex. For the proof new spatial decay estimates for derivatives are established. These estimates control behavior at the space infinity. The convergence result follows from a rescaling and compactness argument. Item Type:  Preprint 

Additional Information:  40 copies
recommender: Prof. Yoshikazu Giga 

Uncontrolled Keywords:  large time behavior, twodimensional vorticity equations, NavierStokes equations 

Subjects:  35xx PARTIAL DIFFERENTIAL EQUATIONS 

ID Code:  935 

