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Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics. (English) Zbl 1112.37079

Summary: We consider the initial boundary value problem for the primitive equations of moist atmospheric dynamics that are used to describe the turbulent behavior of long-term weather prediction and climate changes. By the Faedo-Galerkin method, we obtain the existence of global weak solutions to the problem in a large-scale atmosphere. By studying the long-time behavior of solutions, we obtain trajectory and global attractors for the primitive equations of moist atmosphere.

MSC:

37N10 Dynamical systems in fluid mechanics, oceanography and meteorology
35B41 Attractors
35D05 Existence of generalized solutions of PDE (MSC2000)
37L30 Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems
76B03 Existence, uniqueness, and regularity theory for incompressible inviscid fluids
76U05 General theory of rotating fluids
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