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Global dynamics of 2D boussinesq equations

โœ Scribed by Yuncheng You

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
668 KB
Volume
30
Category
Article
ISSN
0362-546X

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๐Ÿ“œ SIMILAR VOLUMES

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The goal of this work is to study the Boussinesq equations for an incompressible fluid in R 2 , with diffusion modeled by fractional Laplacian. The existence, the uniqueness and the regularity of solution has been proved.

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## Abstract The global regularity for the viscous Boussinesq equations is proved. Copyright ยฉ 2004 John Wiley & Sons, Ltd.

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โœ Hyung-Chun Lee; Byeong Chun Shin ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 201 KB ๐Ÿ‘ 1 views

In this article, we study the dynamics of a piecewise (in time) distributed optimal control problem for the Boussinesq equations which model velocity tracking over time coupled to thermal dynamics. We also study the dynamics of semidiscrete approximation of this problem. We prove that the rates of v

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In this paper the authors consider the initial boundary value problems of dissipative SchrodingerแŽBoussinesq equations and prove the existence of global รคttractors and the finiteness of the Hausdorff and the fractal dimensions of the attractors.