Finite dimensions of the global attractor for 3D primitive equations with viscosity

DOI10.1007/s00332-014-9223-8zbMath1311.35223arXiv1507.05992OpenAlexW3101816736MaRDI QIDQ2018852

Roger M. Temam, Ning Ju

Publication date: 25 March 2015

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.05992

zbMATH Keywords

regularityglobal attractorHausdorff dimensionfractal dimension3D viscous primitive equations

Mathematics Subject Classification ID

Related Items (13)

Continuous data assimilation for the 3D primitive equations of the ocean ⋮ Finite-dimensionality and determining modes of the global attractor for 2D Boussinesq equations with fractional Laplacian ⋮ Necessary and sufficient criteria for existence, regularity, and asymptotic stability of enhanced pullback attractors with applications to 3D primitive equations ⋮ Global well‐posedness of the 3D primitive equations with only horizontal eddy diffusivity and delays in both convective and heat source terms ⋮ Uniqueness of some weak solutions for 2D viscous primitive equations ⋮ Global attractor of the three-dimensional primitive equations of large-scale Ocean and atmosphere dynamics ⋮ On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations ⋮ Finite dimensionality of global attractor for the solutions to 3D viscous primitive equations of large-scale moist atmosphere ⋮ The finite dimensional global attractor for the 3D viscous primitive equations ⋮ Optimal distributed control of the three dimensional primitive equations of large-scale ocean and atmosphere dynamics ⋮ Approximation of stationary statistical properties of the three-dimensional primitive equations of large-scale ocean and atmosphere dynamics ⋮ Global well-posedness of the three-dimensional viscous primitive equations with bounded delays ⋮ Dynamics of the three-dimensional primitive equations of large-scale atmosphere

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• Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model
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