A squeezing property and its applications to a description of long-time behaviour in the three-dimensional viscous primitive equations

DOI10.1017/S0308210512001953zbMath1297.35179arXiv1211.4408MaRDI QIDQ2877943

Igor D. Chueshov

Publication date: 28 August 2014

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4408

zbMATH Keywords

Coriolis forceattractorfractal dimensionasymptotic regularityoceanic motionviscous primitive equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Hydrology, hydrography, oceanography (86A05) General theory of rotating fluids (76U05) Fractional partial differential equations (35R11) PDEs in connection with geophysics (35Q86)

Related Items (12)

Mixing for the primitive equations under bounded non-degenerate noise ⋮ Continuous data assimilation for the 3D primitive equations of the ocean ⋮ Global strong well-posedness of the three dimensional primitive equations in \({L^p}\)-spaces ⋮ Global strong \(L^{p}\) well-posedness of the 3D primitive equations with heat and salinity diffusion ⋮ Squeezing and finite dimensionality of cocycle attractors for 2D stochastic Navier-Stokes equation with non-autonomous forcing ⋮ Controllability and ergodicity of three dimensional primitive equations driven by a finite-dimensional force ⋮ Asymptotic limits and attractors for a laminated beam model ⋮ Strong solvability of a variational data assimilation problem for the primitive equations of large-scale atmosphere and Ocean dynamics ⋮ The finite dimensional global attractor for the 3D viscous primitive equations ⋮ Long-Time Asymptotics of the Filtering Distribution for Partially Observed Chaotic Dynamical Systems ⋮ Global well-posedness of the ocean primitive equations with nonlinear thermodynamics ⋮ Global well-posedness of the three-dimensional viscous primitive equations with bounded delays

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