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http://dx.doi.org/10.4134/JKMS.2012.49.1.113

EXISTENCE OF STRONG MILD SOLUTION OF THE NAVIER-STOKES EQUATIONS IN THE HALF SPACE WITH NONDECAYING INITIAL DATA  

Bae, Hyeong-Ohk (Department of Financial Engineering Ajou University)
Jin, Bum-Ja (Department of Mathematics Mokpo National University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 113-138 More about this Journal
Abstract
We construct a mild solutions of the Navier-Stokes equations in half spaces for nondecaying initial velocities. We also obtain the uniform bound of the velocity field and its derivatives.
Keywords
Navier-Stokes; nondecaying data; existence; uniqueness;
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