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Global solvability for a large flux of a three‐dimensional time‐dependent Navier–Stokes problem in a straight cylinder |
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| Authors: | K Pileckas W Zaja?czkowski |
| Institution: | 1. Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania;2. Faculty of Mathematics and Informatics, Vilnius University, Naugarduko Str., 24, Vilnius, Lithuania;3. Institute of Mathematics, Polish Academy of Sciences, S?niadeckich 8, 00‐956 Warsaw, Poland |
| Abstract: | The unique global existence of a solution to nonstationary Navier–Stokes system with prescribed nonzero flux F(t) in an infinite three‐dimensional pipe is proved. The obtained solution remains close to the corresponding nonstationary Poiseuille flow. Moreover, it converges to the Poiseuille flow as |x3|→∞. Copyright © 2008 John Wiley & Sons, Ltd. |
| Keywords: | time‐dependent Navier– Stokes equations noncompact domains time‐dependent Poiseuille flow global solvability |