Attractors for the 3D baroclinic quasi-geostrophic equations of large- scale atmosphere
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Publication:1193200
DOI10.1016/0022-247X(92)90078-RzbMath0749.76087MaRDI QIDQ1193200
Publication date: 27 September 1992
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
upper boundabsorbing setsHausdorff and fractal dimensions2D vorticity equationscompact, connected global attractor
Incompressible viscous fluids (76D99) General theory of rotating fluids (76U05) Meteorology and atmospheric physics (86A10) Applications of PDEs on manifolds (58J90)
Related Items (9)
Existence of weak solutions and trajectory attractors for the moist atmospheric equations in geophysics ⋮ Regularity of global attractors and exponential attractors for \(2\)D quasi-geostrophic equations with fractional dissipation ⋮ A random attractor for the stochastic quasi-geostrophic dynamical system on unbounded domains ⋮ The global regularity for the 3D continuously stratified inviscid quasi-geostrophic equations ⋮ Optimal control data assimilation with an atmospheric model ⋮ Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere ⋮ Existence of the universal attractor for the 3-D viscous primitive equations of large-scale moist atmosphere ⋮ A remark on the three-dimensional baroclinic quasi-geostrophic dynamics ⋮ On mathematical problems for the primitive equations of the ocean: The mesoscale midlatitude case
Cites Work
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- On the dimension of the attractors in two-dimensional turbulence
- Infinite-dimensional dynamical systems in mechanics and physics.
- Attractors representing turbulent flows
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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