Generic solvability for the 3-D Navier-Stokes equations with nonregular force
Electronic journal of differential equations, Tome 2004 (2004)
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.
Classification :
35A05, 76N10
Keywords: stochastic Navier-Stokes equations, generic solvability
Keywords: stochastic Navier-Stokes equations, generic solvability
@article{EJDE_2004__2004__a172,
author = {Lee, Jihoon},
title = {Generic solvability for the {3-D} {Navier-Stokes} equations with nonregular force},
journal = {Electronic journal of differential equations},
year = {2004},
volume = {2004},
zbl = {1064.35138},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a172/}
}
Lee, Jihoon. Generic solvability for the 3-D Navier-Stokes equations with nonregular force. Electronic journal of differential equations, Tome 2004 (2004). http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a172/