Quantitative Estimate of the Stationary Navier-Stokes Equations at Infinity and Uniqueness of the Solution
Vol. 11 No. 1 (2016) P.163~P.177
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.
Pretopology, Gabriel topology, strongly prime spectrum.
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Download Full Content
Revised : 2015-09-03