𝔖 Bobbio Scriptorium
✦   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

No coin nor oath required. For personal study only.

✦ 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.


📜 SIMILAR VOLUMES


Asymptotic behavior of the Newton–Boussi
✍ Guglielmo Fucci; Bixiang Wang; Preeti Singh 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 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 in te
✍ Samia Benbernou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 372 KB

In this note we establish a Serrin-type regularity criterion in terms of pressure for Leray weak solutions to the Navier-Stokes equation in R d . Here we call u a Leray weak solution if u is a weak solution of finite energy, i.e. It is known that if a Leray weak solution u belongs to then u is reg