On the 2D model of large-scale atmospheric motion: well-posedness and attractors

DOI10.1016/0362-546X(92)90046-HzbMath0755.35100OpenAlexW2021255125MaRDI QIDQ4008898

Shouhong Wang

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90046-h

zbMATH Keywords

existenceuniquenessattractorabsorbing setsglobal weak solutionsHausdorff and fractal dimensionsfunctional settingregular global solutions

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Meteorology and atmospheric physics (86A10) Applications of functional analysis to differential and integral equations (46N20)

Related Items (6)

Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics ⋮ The existence and asymptotic behavior of solutions to 3D viscous primitive equations with Caputo fractional time derivatives ⋮ On two-dimensional large-scale primitive equations in oceanic dynamics. I ⋮ Optimal control data assimilation with an atmospheric model ⋮ Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere ⋮ Weak solutions to a model of climate dynamics

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• Infinite-dimensional dynamical systems in mechanics and physics.
• Attractors representing turbulent flows
• On the eigenfunctions and on the eigenvalues of general elliptic boundary value problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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