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

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:
Stochastic Navier-Stokes equations
generic solvability.
Online Access:http://ejde.math.txstate.edu/Volumes/2004/78/abstr.html
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spelling doaj-5ca0c5f974eb47b1b79ce5ec397fc8512020-11-24T20:46:24ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912004-06-0120047818Generic solvability for the 3-D Navier-Stokes equations with nonregular forceJihoon LeeWe 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. http://ejde.math.txstate.edu/Volumes/2004/78/abstr.htmlStochastic Navier-Stokes equationsgeneric solvability.
collection DOAJ
language English
format Article
sources DOAJ
author Jihoon Lee
spellingShingle Jihoon Lee
Generic solvability for the 3-D Navier-Stokes equations with nonregular force
Electronic Journal of Differential Equations
Stochastic Navier-Stokes equations
generic solvability.
author_facet Jihoon Lee
author_sort Jihoon Lee
title Generic solvability for the 3-D Navier-Stokes equations with nonregular force
title_short Generic solvability for the 3-D Navier-Stokes equations with nonregular force
title_full Generic solvability for the 3-D Navier-Stokes equations with nonregular force
title_fullStr Generic solvability for the 3-D Navier-Stokes equations with nonregular force
title_full_unstemmed Generic solvability for the 3-D Navier-Stokes equations with nonregular force
title_sort generic solvability for the 3-d navier-stokes equations with nonregular force
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2004-06-01
description 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.
topic Stochastic Navier-Stokes equations
generic solvability.
url http://ejde.math.txstate.edu/Volumes/2004/78/abstr.html
work_keys_str_mv AT jihoonlee genericsolvabilityforthe3dnavierstokesequationswithnonregularforce
_version_ 1716812755215843328

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