BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE

Makram Hamouda; Daozhi Han; Chang-Yeol Jung; Roger Temam

doi:10.11948/2018.873

2018 Volume 8 Issue 3

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Makram Hamouda, Daozhi Han, Chang-Yeol Jung, Roger Temam. BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 873-889. doi: 10.11948/2018.873

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Makram Hamouda, Daozhi Han, Chang-Yeol Jung, Roger Temam. BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 873-889. doi: 10.11948/2018.873

BOUNDARY LAYERS FOR THE 3D PRIMITIVE EQUATIONS IN A CUBE: THE ZERO-MODE

1 The Institute for Scientific Computing and Applied Mathematics, Indiana University, 831 E 3rd St, 47405 Bloomington, USA;
2 Department of Mathematics, University of Tunis El Manar, Tunis, Tunisia;
3 Department of Mathematics and Statistics, Missouri University of Science and Technology, 400 W. 12th St, 65409 Rolla, USA;
4 Department of Mathematical Sciences, Ulsan National Institute of Science and Technology, UNIST-Gil 50, 689-798 Ulsan, Republic of Korea

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Abstract

Abstract

We establish the vanishing viscosity limit of the zero-mode of the linearized Primitive Equations in a cube. Our method is based on the explicit construction and estimates of the boundary layers. This result, together with that in[12,15], allows us to conclude the vanishing viscosity limit of the linearized Primitive Equations in a cube.
- Boundary layer /
- primitive equations /
- zero-mode /
- vanishing viscosity limit
MSC: 35Q35;35K51;76D10

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References

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