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On the dimension of the attractor for the Bénard problem with free surfaces

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Publication:1267441
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zbMath0910.35148MaRDI QIDQ1267441

Mohammed Ziane, Alain Miranville

Publication date: 7 October 1998

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

lower boundBénard problemdimension of the attractor


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35)


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The global attractor of the 2D Boussinesq equations with fractional Laplacian in subcritical case ⋮ Instability of two-phase flows: A lower bound on the dimension of the global attractor of the Cahn-Hilliard-Navier-Stokes system ⋮ Optimal bounds on the dimension of the attractor of the Navier-Stokes equations ⋮ The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity ⋮ On pullback attractors for a class of two-dimensional turbulent shear flows ⋮ An upper bound on the attractor dimension of a 2D turbulent shear flow in lubrication theory ⋮ The 2D Euler-Boussinesq equations in planar polygonal domains with Yudovich's type data



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