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

作者:Myong-Hwan; RI定常解通量圆柱域无限长注记压力保持泊肃叶流流压力

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.

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