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

Title & Authors
NAVIER-STOKES EQUATIONS IN BESOV SPACE B-s,(ℝn+)
Jin, Bum Ja;

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 $\small{B^{-\alpha}_{{\infty},{\infty}}(\mathbb{R}^n_+)}$, 0 < $\small{{\alpha}}$ < 1. To do this, we derive the estimate of the Stokes flow with singular initial data in $\small{B^{-\alpha}_{{\infty},q}(\mathbb{R}^n_+)}$, 0 < $\small{{\alpha}}$ < 1, 1 < $\small{q{\leq}{\infty}}$.
Keywords
Besov space;half space;Navier-Stokes;Stokes;mild solution;
Language
English
Cited by
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