Global solvability for a large flux of a three‐dimensional time‐dependent Navier–Stokes problem in a straight cylinder | Zendy

Pileckas K. | Zendy; Zaja̧czkowski W. | Zendy

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Global solvability for a large flux of a three‐dimensional time‐dependent Navier–Stokes problem in a straight cylinder

Author(s) -

Pileckas K.,

Zaja̧czkowski W.

Publication year - 2008

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.993

Subject(s) - hagen–poiseuille equation , mathematics , flux (metallurgy) , cylinder , flow (mathematics) , navier–stokes equations , mathematical analysis , geometry , compressibility , mechanics , physics , materials science , metallurgy

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 | x 3 |→∞. Copyright © 2008 John Wiley & Sons, Ltd.

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