167 citations · 523 across the 43 of their papers we have counts for
4 papers · 1 filter
Convergence of time averages of weak solutions of the three-dimensional Navier-Stokes equations
Ciprian Foias, Ricardo M. S. Rosa, Roger Temam
Using the concept of stationary statistical solution, which generalizes the notion of invariant measure, it is proved that, in a suitable sense, time averages of almost every Leray…
Numerical weather prediction in two dimensions with topography, using a finite volume method
Arthur Bousquet, Mickaël D. Chekroun, Youngjoon Hong +2
We aim to study a finite volume scheme to solve the two dimensional inviscid primitive equations of the atmosphere with humidity and saturation, in presence of topography and subje…
The primitive equations of the atmosphere in presence of vapor saturation
Michele Coti Zelati, Aimin Huang, Igor Kukavica +2
A modification of the classical primitive equations of the atmosphere is considered in order to take into account important phase transition phenomena due to air saturation and con…
Time Discrete Approximation of Weak Solutions for Stochastic Equations of Geophysical Fluid Dynamics and Applications
Nathan Glatt-Holtz, Roger Temam, Chuntian Wang
As a first step towards the numerical analysis of the stochastic primitive equations of the atmosphere and oceans, we study their time discretization by an implicit Euler scheme. F…