Generic solvability for the 3-D Navier-Stokes equations with nonregular force

We show that the existence of global strong solutions for the Navier-Stokes equations with nonregular force is generically true. Similar results for equations without the nonregular force have been obtained by Fursikov [5]. Our main tools are the Galerkin method and estimates on its solutions.

Bibliographic Details
Main Author: Jihoon Lee
Format: Article
Language:English
Published: Texas State University 2004-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2004/78/abstr.html