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A remark on the pressure for the Navier–Stokes flows in 2‐D straight channel with an obstacle
Author(s) -
Morimoto H.
Publication year - 2004
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.477
Subject(s) - mathematics , constant (computer programming) , bounded function , omega , obstacle , closure (psychology) , infinity , bar (unit) , navier–stokes equations , mathematical analysis , backslash , obstacle problem , combinatorics , mechanics , physics , compressibility , law , computer science , boundary (topology) , quantum mechanics , meteorology , political science , programming language
Let T=ℝ×(‐1,1) and &ℴ⊂ℝ 2 be a smoothly bounded open set, closure of which is contained in T . We consider the stationary Navier–Stokes flows in $\Omega {:=} T \backslash \bar{\scriptstyle{O}}$ . In general, the pressure is determined up to a constant. Since Ω has two extremities, we want to know if we can choose the constant same. We study the behaviour of the pressure at the infinity in Ω and give a relation between the velocity and the pressure difference. Copyright © 2004 John Wiley & Sons, Ltd.
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