On the zero-velocity-limit solutions to the Navier-Stokes equations of compressible flow

被引:26
|
作者
Feireisl, E [1 ]
Petzeltova, H [1 ]
机构
[1] Acad Sci Czech Republ, Inst Math, CR-11567 Prague 1, Czech Republic
关键词
D O I
10.1007/s002290050089
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider the zero-velocity stationary problem of the Navier-Stokes equations of compressible isentropic flow describing the distribution of the density rho of a fluid in a spatial domain Omega subset of R-N driven by a time independent potential external force f = del F. A sharp condition in terms of F is given for the problem to possess a unique nonnegative solution rho having a prescribed mass m > 0.
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页码:109 / 116
页数:8
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