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The Uniqueness of Nondecaying Solutions for the Navier-Stokes Equations

✍ Scribed by Jun Kato


Publisher
Springer
Year
2003
Tongue
English
Weight
176 KB
Volume
169
Category
Article
ISSN
0003-9527

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Unique solvability for the density-depen
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In this paper we consider the incompressible Navier-Stokes equations with a density-dependent viscosity in a bounded domain of R n (n = 2, 3). We prove the local existence of unique strong solutions for all initial data satisfying a natural compatibility condition. This condition is also necessary f