Averaging Principle for Quasi-Geostrophic Motions under Rapidly Oscillating Forcing
Gao, Hongjun ; Duan, Jinqiao
arXiv, 0010256 / Harvested from arXiv
Text on arXiv
In this paper, the averaging principle for quasi-geostrophic motions with rapidly oscillating forcing is proved, both on finite but large time intervals and on the entire time axis. This includes comparison estimate, stability estimate, and convergence result between quasi-geostrophic motions and its averaged motions. Furthermore, the existence of almost periodic quasi-geostrophic motions and attractor convergence are also investigated.
Publié le : 2000-10-26
Classification:  Mathematics - Analysis of PDEs,  Mathematical Physics,  Mathematics - Dynamical Systems,  Nonlinear Sciences - Chaotic Dynamics,  Nonlinear Sciences - Pattern Formation and Solitons,  Physics - Atmospheric and Oceanic Physics,  Physics - Fluid Dynamics,  Physics - Geophysics,  34G20, 35Q35, 86A05, 76U05 
@article{0010256,
     author = {Gao, Hongjun and Duan, Jinqiao},
     title = {Averaging Principle for Quasi-Geostrophic Motions under Rapidly
  Oscillating Forcing},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010256}
}

Gao, Hongjun; Duan, Jinqiao. Averaging Principle for Quasi-Geostrophic Motions under Rapidly
  Oscillating Forcing. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010256/