Errors in the total Bouguer reduction
This short note discusses various errors in the Bouguer reduction that have been discussed recently in the literature. It also discusses two other errors arising out of the “indirect effect” and the uncertainty in the value of the universal constant of gravitation, G, that previously have not been discussed extensively in the literature.
The main objective of this article is to study dynamic of the ::: three-dimensional Boussinesq equations with the periodic boundary ::: condition.We prove that when the Rayleigh number $R$ crosses the ::: first critical Rayleigh number $R_c$, the Rayleigh-Benard problem ::: bifurcates from the basic state to an global attractor $\Sigma$, which is homeomorphic to $S^3$.