Geodesic
Generic solvability for the 3-D Navier-Stokes equations with nonregular force
Electronic Journal of Differential Equations, Tome 2004 (2004).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Lee, Jihoon},
     title = {Generic solvability for the {3-D} {Navier-Stokes} equations with nonregular force},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2004},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2004__2004__a72/}
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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__a72/