TY - JOUR

T1 - A removable isolated singularity theorem for the stationary Navier-Stokes equations

AU - Kim, Hyunseok

AU - Kozono, Hideo

N1 - Funding Information:
∗Corresponding author. E-mail addresses: khs319@postech.ac.kr, h-kim@math.tohoku.ac.jp (H. Kim), kozono@math.tohoku.ac.jp (H. Kozono). 1Supported by Japan Society for the Promotion of Science under JSPS Postdoctoral Fellowship For Foreign Researchers.

PY - 2006/1/1

Y1 - 2006/1/1

N2 - We show that an isolated singularity at the origin 0 of a smooth solution (u, p) of the stationary Navier-Stokes equations is removable if the velocity u satisfies u ∈ Ln or u(x) = o( x -1) as x → 0. Here n ≥ 3 denotes the dimension. As a byproduct of the proof, we also obtain a new interior regularity theorem.

AB - We show that an isolated singularity at the origin 0 of a smooth solution (u, p) of the stationary Navier-Stokes equations is removable if the velocity u satisfies u ∈ Ln or u(x) = o( x -1) as x → 0. Here n ≥ 3 denotes the dimension. As a byproduct of the proof, we also obtain a new interior regularity theorem.

KW - Interior regularity

KW - Removable isolated singularity

KW - Stationary Navier-Stokes equations

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U2 - 10.1016/j.jde.2005.02.002

DO - 10.1016/j.jde.2005.02.002

M3 - Article

AN - SCOPUS:28344436958

SN - 0022-0396

VL - 220

SP - 68

EP - 84

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 1

ER -