Global Well-Posedness and Convergence Results for the 3D-Regularized Boussinesq System

DOI10.4153/CJM-2012-013-5zbMath1259.35028MaRDI QIDQ3143316

Ridha Selmi

Publication date: 29 November 2012

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

energy estimatesperiodic boundary conditionssimplified Bardina modelexistence and uniqueness of weak solutionfrequency space computations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Navier-Stokes equations (35Q30) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Global existence and regularity for the dynamics of viscous oriented fluids ⋮ Well-posedness and convergence results for the 3D-Lagrange Boussinesq-\(\alpha\) system ⋮ On the convergence rates for the three‐dimensional filtered Boussinesq equations ⋮ Mathematical study of attractors to a 3D heated fluid ⋮ Unnamed Item ⋮ Existence and uniqueness of weak solution to a three-dimensional stochastic modified-Leray-alpha model of fluid turbulence ⋮ Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions ⋮ The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion ⋮ Analytical approximation to the solution of 3D rotating MHD system ⋮ Time decay and exponential stability of solutions to the periodic 3D Navier–Stokes equation in critical spaces ⋮ On the convergence of an approximate deconvolution model to the 3D mean Boussinesq equations ⋮ Exponential attractors for the 3D fractional-order Bardina turbulence model with memory and horizontal filtering

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