English

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

Analysis of PDEs 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0701599,
  title  = {Long-time dynamics for the 3-D viscous primitive equations of large-scale moist atmosphere},
  author = {Boling Guo and Daiwen Huang},
  journal= {arXiv preprint arXiv:math/0701599},
  year   = {2007}
}

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49 pages