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Wellposedness and zero microrotation viscosity limit of the 2D micropolar fluid equations

โœ Scribed by Liutang Xue

Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
283 KB
Volume
34
Category
Article
ISSN
0170-4214

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โœฆ Synopsis

In this paper, we consider the 2D micropolar fluid equations in the whole space R 2 . We prove the global wellposedness of the system with rough initial data and show the vanishing microrotation viscosity limit in the case of zero kinematic viscosity or zero angular viscosity.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Zhouping Xin; Taku Yanagisawa ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 620 KB

The zero-viscosity limit for an initial boundary value problem of the linearized Navier-Stokes equations of a compressible viscous fluid in the half-plane is studied. By means of the asymptotic analysis with multiple scales, we first construct an approximate solution of the linearized problem of the

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โœ Piotr Szopa ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 162 KB

## Abstract In this paper, we prove the existence and uniqueness of a global solution for 2โ€D micropolar fluid equation with periodic boundary conditions. Then we restrict ourselves to the autonomous case and show the existence of a global attractor. Copyright ยฉ 2006 John Wiley & Sons, Ltd.