Methods and Applications of Analysis

On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations

Eugene Tsyganov

Abstract

We show that $L^2$ energy estimates combined with Cauchy integral formula for holomorphic functions can provide bounds for higher-order derivatives of smooth solutions of Navier-Stokes equations. We then extend this principle to weak solutions to improve regularization rates obtained by standard energy methods.

Article information

Source
Methods Appl. Anal., Volume 14, Number 4 (2007), 345-354.

Dates
First available in Project Euclid: 4 November 2008