Guo, Boling; Huang, Daiwen Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics. (English) Zbl 1112.37079 J. Math. Phys. 47, No. 8, 083508, 23 p. (2006). 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. Cited in 29 Documents 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 PDFBibTeX XMLCite \textit{B. Guo} and \textit{D. Huang}, J. Math. Phys. 47, No. 8, 083508, 23 p. (2006; Zbl 1112.37079) Full Text: DOI References: [1] Richardson L. F., Weather Prediction by Numerical Press (1922) [2] DOI: 10.1111/j.2153-3490.1950.tb00336.x · doi:10.1111/j.2153-3490.1950.tb00336.x [3] DOI: 10.1175/1520-0469(1953)010<0071:NIOTQG>2.0.CO;2 · doi:10.1175/1520-0469(1953)010<0071:NIOTQG>2.0.CO;2 [4] DOI: 10.1088/0951-7715/5/2/001 · Zbl 0746.76019 · doi:10.1088/0951-7715/5/2/001 [5] Lions J. L., Quelques Méthodes de Résolutions des Problèmes Aux Limites Nonlinéaires (1969) [6] Lions J. L., J. Math. Pures Appl. 74 pp 105– (1995) [7] DOI: 10.1007/BF02070819 · Zbl 0824.65144 · doi:10.1007/BF02070819 [8] DOI: 10.1007/BF02878381 · doi:10.1007/BF02878381 [9] Li J., Acta Metrologia Sinica 56 pp 61– (1998) [10] DOI: 10.1002/cpa.10056 · Zbl 1035.37043 · doi:10.1002/cpa.10056 [11] DOI: 10.1088/0951-7715/17/5/011 · Zbl 1070.35028 · doi:10.1088/0951-7715/17/5/011 [12] DOI: 10.1016/0362-546X(92)90046-H · Zbl 0755.35100 · doi:10.1016/0362-546X(92)90046-H [13] DOI: 10.1016/0022-247X(92)90078-R · Zbl 0749.76087 · doi:10.1016/0022-247X(92)90078-R [14] DOI: 10.1016/S0021-7824(97)89978-3 · Zbl 0896.35032 · doi:10.1016/S0021-7824(97)89978-3 [15] DOI: 10.1023/A:1014190629738 · Zbl 1130.37404 · doi:10.1023/A:1014190629738 [16] Holton J. R., An Introduction to Dynamic Meteorology, 3. ed. (1992) [17] Liu S. K., Atmospheric Dynamic (1991) [18] Lions J. L., Problèmes aux Limites non Homogènes et Applications (1968) · Zbl 0235.65074 [19] Babin A. V., Attractors of Evolution Equations (1989) · Zbl 0804.58003 [20] Hale J. K., Math. Surveys Monographs 25, in: Asymptotic Behavior of Dissipative Systems (1988) [21] DOI: 10.1007/978-1-4684-0313-8 · doi:10.1007/978-1-4684-0313-8 [22] Vishik M. I., Sb. Russ. Acad. Sci. 192 pp 16– (2001) · Zbl 1011.35104 · doi:10.1070/SM2001v192n01ABEH000534 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.