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Asymptotic behavior of the Newton–Boussinesq equation in a two-dimensional channel

✍ Scribed by Guglielmo Fucci; Bixiang Wang; Preeti Singh

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
701 KB
Volume
70
Category
Article
ISSN
0362-546X

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✦ Synopsis

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.

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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 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 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.