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- Title
The Uniqueness of Nondecaying Solutions for the Navier-Stokes Equations.
- Authors
Kato, Jun
- Abstract
The uniqueness of solutions of the Navier-Stokes equations in the whole space is established when the velocity field is bounded and the pressure field is a BMO-valued locally integrable-in-time function for bounded initial data. Here the velocity field may not decay at space infinity. Although there are a few results concerning uniqueness without the decay assumption, our result is new and applicable for solutions constructed by solving the integral equations.
- Subjects
NAVIER-Stokes equations; INTEGRAL equations; EQUATIONS; ALGEBRA; MATHEMATICS
- Publication
Archive for Rational Mechanics & Analysis, 2003, Vol 169, Issue 2, p159
- ISSN
0003-9527
- Publication type
Article
- DOI
10.1007/s00205-003-0264-7