A Remark on Leray's Problem on Stationary Navier–Stokes Flows with Large Fluxes in Infinite Cylindrical Domains

A Remark on Leray's Problem on Stationary Navier–Stokes Flows with Large Fluxes in Infinite Cylindrical Domains

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摘要 We consider Leray＇s problem on stationary Navier Stokes flows with arbitrary large fluxes in an unbounded cylinder with several exits to infinity. For a stationary Navier Stokes flow with large fluxes in the unbounded cylinder, we prove that, if the difference between the pressure of the main flow and the pressure of the Poiseuille flow with the same flux in a branch of the cylinder remains bounded at ｜x｜→∞, then the flow behaves at infinity of the branch like the Poiseuille flow. We consider Leray＇s problem on stationary Navier Stokes flows with arbitrary large fluxes in an unbounded cylinder with several exits to infinity. For a stationary Navier Stokes flow with large fluxes in the unbounded cylinder, we prove that, if the difference between the pressure of the main flow and the pressure of the Poiseuille flow with the same flux in a branch of the cylinder remains bounded at ｜x｜→∞, then the flow behaves at infinity of the branch like the Poiseuille flow.

作者 Myong-Hwan RI

机构地区 Institute of Mathematics

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第10期1571-1581,共11页 数学学报（英文版）

基金 Supported by 2012 CAS-TWAS Postdoctoral Fellowship(Grant No.3240267229)

关键词 Leray＇s problem Navier-Stokes equations large flux unbounded cylindrical domains Leray＇s problem, Navier-Stokes equations, large flux, unbounded cylindrical domains

分类号 O175 [理学—基础数学]

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Acta Mathematica Sinica,English Series

2015年第10期

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A Remark on Leray's Problem on Stationary Navier–Stokes Flows with Large Fluxes in Infinite Cylindrical Domains

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