On the zero-velocity-limit solutions to the Navier–Stokes equations of compressible flow |
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Authors: | Eduard Feireisl Hana Petzeltová |
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Institution: | (1) Institute of Mathematics of the Czech Academy of Sciences, Žitná 25, 115 67 Praha 1, Czech Republic. e-mail: feireisl@math.cas.cz, CZ |
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Abstract: | We consider the zero-velocity stationary problem of the Navier–Stokes equations of compressible isentropic flow describing
the distribution of the density ϱ of a fluid in a spatial domain Ω⊂ℝ
N
driven by a time-independent potential external force b=∇F. A sharp condition in terms of F is given for the problem to possess a unique nonnegative solution ϱ having a prescribed mass m > 0.
Received: 20 October 1997 |
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Keywords: | Mathematics Subject Classification (1991):35Q30 76N10 |
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