On decay rate of solutions for the stationary Navier–Stokes equation in an exterior domain

Pu Zhao Kow, Ching-Lung Lin

研究成果: Article

摘要

In this paper, we consider the asymptotic behavior of an incompressible fluid around a bounded obstacle. By adapting the Schauder's estimate for stationary Navier–Stokes equation to improve the regularity, the problem is solved by using appropriate Carleman estimates. It should be noted that the minimal decaying rate for a general scalar equation is exp⁡(−C|x|2+). However, the structure of the Navier–Stokes is special. Under the assumption for any nontrivial solution to be uniform bounded which is weaker than those in [10], we got the minimal decaying rate is exp⁡(−C|x|[Formula presented]+) which is better than the results in general scalar cases.

原文English
頁(從 - 到)3279-3309
頁數31
期刊Journal of Differential Equations
266
發行號6
DOIs
出版狀態Published - 2019 三月 5

指紋

Exterior Domain
Decay Rate
Navier-Stokes Equations
Schauder Estimates
Scalar
Carleman Estimate
Fluids
Nontrivial Solution
Navier-Stokes
Incompressible Fluid
Asymptotic Behavior
Regularity

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

引用此文

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