A remark on Leray's problem on stationary Navier-Stokes flows with large fluxes in infinite cylindrical domains

Verfasser / Beitragende:
[Myong-Hwan Ri]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/10(2015-10-01), 1571-1581
Format:
Artikel (online)
ID: 605461732
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024 7 0 |a 10.1007/s10114-015-4126-7  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-4126-7 
100 1 |a Ri  |D Myong-Hwan  |u Institute of Mathematics, State Academy of Sciences, Pyongyang, DPR Korea  |4 aut 
245 1 2 |a A remark on Leray's problem on stationary Navier-Stokes flows with large fluxes in infinite cylindrical domains  |h [Elektronische Daten]  |c [Myong-Hwan Ri] 
520 3 |a 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. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Leray's problem  |2 nationallicence 
690 7 |a Navier-Stokes equations  |2 nationallicence 
690 7 |a large flux  |2 nationallicence 
690 7 |a unbounded cylindrical domains  |2 nationallicence 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/10(2015-10-01), 1571-1581  |x 1439-8516  |q 31:10<1571  |1 2015  |2 31  |o 10114 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
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950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-4126-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 100  |E 1-  |a Ri  |D Myong-Hwan  |u Institute of Mathematics, State Academy of Sciences, Pyongyang, DPR Korea  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/10(2015-10-01), 1571-1581  |x 1439-8516  |q 31:10<1571  |1 2015  |2 31  |o 10114