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On the behavior of Navier-Stokes equations near a possible singularity

2014.03.24 18:30

실적년도	2010 년
논문구분	국외
총저자	Kyungkeun Kang Jihoon Lee
학술지명	Nonlinearity
권(Vol.)	23
호(No.)	12
게재년월	년 월
Impact Factor
SCI 등재	SCI
비고

We show that if a singularity of suitable weak solutions to Navier–Stokes
equations occurs, then either p or at least two of ∂ivi , i = 1, 2, 3, have neither
upper bounds nor lower bounds in any neighbourhood of the singularity. In
the case of axially symmetric solutions, we prove that either p or ∂rvr is not
bounded both below and above near a singular point, if it exists.

20101129200950_0951-7715_23_12_010.pdf [File Size:225.8KB/Download:68]

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