Open AccessPullback attractor for the three dimensional nonautonomous primitive equations of large‐scale ocean and atmosphere dynamics
Author(s) -
You Bo
Publication year - 2020
Publication title -
computational and mathematical methods
Language(s) - English
Resource type - Journals
ISSN - 2577-7408
DOI - 10.1002/cmm4.1066
Subject(s) - atmosphere (unit) , primitive equations , pullback attractor , attractor , scale (ratio) , dynamics (music) , pullback , mathematics , mathematical analysis , classical mechanics , physics , meteorology , differential equation , simultaneous equations , quantum mechanics , acoustics
The main objective of this paper is concerned with the existence of a finite fractal dimensional pullback attractor for the three‐dimensional nonautonomous primitive equations of large‐scale ocean and atmosphere dynamics. Under some slightly strong assumptions on the heat source, we prove the existence of a pullback attractor in a more regular phase space by asymptotical a priori estimates and provide the upper bound of the fractal dimension of the pullback attractor in V by calculating the Lyapunov exponent.