Large Time Behavior of Density-Dependent Incompressible Navier–Stokes Equations on Bounded Domains

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作者
Kun Zhao
机构
[1] Ohio State University,Mathematical Biosciences Institute
关键词
Primary 35Q35; Secondary 35B40; Density-dependent Navier–Stokes equations; External force; Asymptotic behavior;
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摘要
The large-time asymptotic behavior of classical solutions to the density-dependent incompressible Navier–Stokes equations driven by an external force on bounded domains in 2-D is studied. It is shown that the velocity field and its first-order derivatives converge to zero as time goes to infinity for large initial data and external forces.
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页码:471 / 483
页数:12
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