𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the spatially two-dimensional Boussinesq equation in a circular domain

✍ Scribed by Vladimir Varlamov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
191 KB
Volume
46
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Solutions of the Boussinesq Equation on
Solutions of the Boussinesq Equation on a Periodic Domain
✍ F.L. Liu; D.L. Russell πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 673 KB

The existence and the uniqueness of solutions for a linear feedback controlled Boussinesq equation on a periodic domain are studied. The continuous dependence of the solution on initial data is also proved. The proof is based on conservation laws for the Boussinesq equation. \(O 1995\) Academic Pres

Asymptotic behavior of the Newton–Boussi
Asymptotic behavior of the Newton–Boussinesq equation in a two-dimensional channel
✍ Guglielmo Fucci; Bixiang Wang; Preeti Singh πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 701 KB

We prove the existence of a global attractor for the Newton-Boussinesq equation defined in a two-dimensional channel. The asymptotic compactness of the equation is derived by the uniform estimates on the tails of solutions. We also establish the regularity of the global attractor.

A note on the regularity criterion of th
A note on the regularity criterion of the two-dimensional Newton–Boussinesq equations
✍ Hua Qiu; Yi Du; Zheng’an Yao πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 198 KB

In this paper, we consider the two-dimensional Newton-Boussinesq equations with the incompressibility condition. We obtain a regularity criterion for the Newton-Boussinesq equations by virtue of the commutator estimate.