2017 Volume 7 Issue 1
Article Contents

Mingli Hong. ON THE GLOBAL WELL-POSEDNESS OF THE 3D VISCOUS PRIMITIVE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 102-118. doi: 10.11948/2017008
Citation: Mingli Hong. ON THE GLOBAL WELL-POSEDNESS OF THE 3D VISCOUS PRIMITIVE EQUATIONS[J]. Journal of Applied Analysis & Computation, 2017, 7(1): 102-118. doi: 10.11948/2017008

ON THE GLOBAL WELL-POSEDNESS OF THE 3D VISCOUS PRIMITIVE EQUATIONS

  • Fund Project:
  • Here we consider the global well-posedness of the 3D viscous primitive equations of the large-scale ocean. Inspired by the methods in Cao etc[2] and Guo etc[5], we prove the global well-posedness and the long-time dynamics for the primitive equations.
    MSC: 35Q30;65M70;86A10
  • 加载中
  • [1] D. Bresch, F.Guillén-González, N. Masmoudi and M. A. Rodríguez-Bellido, On the uniqueness for the two-dimensional primitive equations, Diff. Int. Equ., 16(2003), 77-94.

    Google Scholar

    [2] C. Cao and E. S. Titi, Global well-posedness of the three-dimensional viscous primitive equations of large-scale ocean and atmosphere dynamics, Ann. of Math., 166(2007), 245-267.

    Google Scholar

    [3] G. P. Galdi, An introduction to the mathematical theory of the Navier-Stokes equations, Vol. I, Springer-Verlag, 1994.

    Google Scholar

    [4] F. Guillén-González, N. Masmoudi and M. A. Rodríguez-Bellido, Anisotropic estimates and strong solutions for the primitive equations, Diff. Int. Equ., 14(2001), 1381-1408.

    Google Scholar

    [5] B. Guo and D. Huang, Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere. J Diff Equ, 251(2011)(3), 457-491

    Google Scholar

    [6] J. L. Lions, Quelques méthodes de résolutions des problèmes aux limites nonlinéaires, Dunod, Paris, 1969.

    Google Scholar

    [7] J. L. Lions, R. Temam and S. Wang, On the equations of the large scale ocean, Nonlinearity, 5(1992), 1007-1053.

    Google Scholar

    [8] J. L. Lions, R. Temam and S. Wang, New formulations of the primitive equations of atmosphere and applications, Nonlinearity, 5(1992), 237-288.

    Google Scholar

    [9] J. Pedlosky, Geophysical Fluid Dynamics, 2nd Edition, Springer-Verlag, Berlin/New York, 1987.

    Google Scholar

Article Metrics

Article views(2737) PDF downloads(605) Cited by(0)

Access History

Other Articles By Authors

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint