##### Department of Mathematics,

University of California San Diego

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### Math 248 - Real Analysis Seminar

## Zoran Grujic

#### University of Virginia

## Regularity of Koch-Tataru solutions to the 3D Navier-Stokes equations revisited

##### Abstract:

Koch-Tataru solutions are global-in-time small data mild solutions to the 3D NSE emanating from small data in $BMO^{-1}$. There have been several recent works in which the regularizing-decay rate estimates for Koch-Tataru solutions have been obtained. Spatial analyticity of solutions then follows as a consequence. I will present a different approach in which the spatial analyticity is obtained directly together with explicit estimates on the time-evolution of the domain of analyticity. The regularizing-decay rate estimates will then follow at once.

Host: Hans Lindblad

### November 19, 2007

### 9:00 AM

### AP&M 7218

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