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Quantitative Estimate of the Stationary Navier-Stokes Equations at Infinity and Uniqueness of the Solution
by Ching-Lung Lin   Jenn-Nan Wang

Vol. 11 No. 1 (2016) P.163~P.177

ABSTRACT

In this paper we are interested in the asymptotic behavior of incompressible fluid around a bounded obstacle. Under certain a priori decaying assumptions, we derive a quantitative estimate of the decaying rate of the difference of any two velocity functions at infinity. This quantitative estimate gives us a sufficient condition, expressed in terms of integrability, to guarantee that the solution of the Navier-Stokes equations is unique.

KEYWORDS
Pretopology, Gabriel topology, strongly prime spectrum.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 16Y30,16Y99.

MILESTONES

Received: 2015-03-31
Revised : 2015-09-03
Accepted: 2015-09-03

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