Long-time dynamics for the 3-D viscous primitive equations of large-scale moist atmosphere

2007/01/22 by Boling Guo, Guo, Boling, Daiwen Huang +1
Engineering · Mathematics · #35Q30 #35Q35 #86A10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Stability and Controllability of Differential Equations #math.AP #msc:35Q30 #msc:35Q35 #msc:86A10

paper · pdf · doi:10.48550/arxiv.math/0701599

49 pages

arxiv created 2007/01/22 · openalex publication_date 2007/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the initial boundary value problem for the three-dimensional viscous primitive equations of large-scale moist atmosphere which are used to describe the turbulent behavior of long-term weather prediction and climate changes. First, we obtain the existence and uniqueness of global strong solutions of the problem. Second, by studying the long-time behavior of strong solutions, we construct a (weak) universal attractor which captures all the trajectories.

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• Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere
• The global attractor for the 3-D viscous primitive equations of large-scale moist atmosphere