Steady-State Navier–Stokes Equations in Thin Tube Structure with the Bernoulli Pressure Inflow Boundary Conditions: Asymptotic Analysis
Keyword(s):
Steady-state Navier–Stokes equations in a thin tube structure with the Bernoulli pressure inflow–outflow boundary conditions and no-slip boundary conditions at the lateral boundary are considered. Applying the Leray–Schauder fixed point theorem, we prove the existence and uniqueness of a weak solution. An asymptotic approximation of a weak solution is constructed and justified by an error estimate.
Keyword(s):
2020 ◽
Vol 0
(0)
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2008 ◽
Vol 31
(5)
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pp. 607-626
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Keyword(s):
Keyword(s):
2016 ◽
Vol 53
(3)
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pp. 597-621
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2008 ◽
pp. 148-168
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2015 ◽
Vol 66
(3)
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pp. 1077-1101
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