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.
✦ LIBER ✦
A note on the regularity criterion of the two-dimensional Newton–Boussinesq equations
✍ Scribed by Hua Qiu; Yi Du; Zheng’an Yao
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 198 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1468-1218
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✦ Synopsis
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.
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