2016 / March Volume 11 No.1
Quantitative Estimate of the Stationary Navier-Stokes Equations at Infinity and Uniqueness of the Solution
| Published Date |
2016 / March
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|---|---|
| Title | Quantitative Estimate of the Stationary Navier-Stokes Equations at Infinity and Uniqueness of the Solution |
| Author | |
| Keyword | |
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| Pagination | 163-177 |
| 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.
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| AMS Subject Classification |
16Y30,16Y99.
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| Received |
2015-09-03
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| Accepted |
2015-09-03
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