Dynamic of the three dimensional viscous primitive equations of large-scale atmosphere

2017/03/16 by Bo You, You, Bo
Engineering · Mathematics · #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1703.05533

openalex publication_date 2017/03/16 · openalex created_date 2018/06/01 · openalex updated_date 2026/07/28

Abstract

The main objective of this paper is to study the existence of a finite dimension global attractor for the three dimensional viscous primitive equations of large-scale atmosphere. Thanks to the shortage of the uniqueness of weak solutions, we prove the existence of a global attractor with finite fractal dimension for the three dimensional viscous primitive equations of large-scale atmosphere by using the method of ℓ-trajectories.

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