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Asymptotic behavior for the quasi-geostrophic equations with fractional dissipation in R 2

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Date of Publication : 2018-01-01

Journal : Journal of Differential Equations

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

ISSN : 0022-0396

Key Words : Global;attractor;Fractional;dissipation;Quasi-geostrophic;equations;Nonlocal;damping;Unbounded;domain;Finite;fractal;dimension

Abstract : In this paper the surface quasi-geostrophic equations  with fractional dissipation in R 2 are considered. Our aim is to study the long-time behavior of solutions of QGE in the subcritical case. To this end we investigate the global well-posedness and glob

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Pre One : Zifei Shen, Chenyin Qian, Solutions and multiple solutions for p(x) -Laplacian equations with nonlinear boundary condition, Chin. Ann. Math. Ser. B 30 (2009), no. 4, 397–412.

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