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http://dx.doi.org/10.4134/JKMS.2013.50.4.771

NAVIER-STOKES EQUATIONS IN BESOV SPACE B-s,(ℝn+)  

Jin, Bum Ja (Department of Mathematics Education, Mokpo National University)
Publication Information
Journal of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 771-795 More about this Journal
Abstract
In this paper we consider the Navier-Stokes equations in the half space. Our aim is to construct a mild solution for initial data in $B^{-\alpha}_{{\infty},{\infty}}(\mathbb{R}^n_+)$, 0 < ${\alpha}$ < 1. To do this, we derive the estimate of the Stokes flow with singular initial data in $B^{-\alpha}_{{\infty},q}(\mathbb{R}^n_+)$, 0 < ${\alpha}$ < 1, 1 < $q{\leq}{\infty}$.
Keywords
Besov space; half space; Navier-Stokes; Stokes; mild solution;
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