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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:
37N10Dynamical systems in fluid mechanics, oceanography and meteorology
35B41Attractors (PDE)
35D05Existence of generalized solutions of PDE (MSC2000)
37L30Attractors and their dimensions, Lyapunov exponents
76B03Existence, uniqueness, and regularity theory (fluid mechanics)
76U05Rotating fluids