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

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

2007-01-22

arxiv.org/abs/math/0701599v1

Mathematics

Analysis of PDEs

49 pages

Scientific paper

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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