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4 papers · 2 filters
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…
Continuous Data Assimilation for the 2D Bénard Convection through Velocity Measurements Alone
Aseel Farhat, Michael S. Jolly, Edriss S. Titi
An algorithm for continuous data assimilation for the two- dimensional Bénard convection problem is introduced and analyzed. It is inspired by the data assimilation algorithm devel…
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…
The global well-posedness and global attractor for the solutions to the 2D Boussinesq system with variable viscosity and thermal diffusivity
Aimin Huang
Global well-posedness of strong solutions and existence of the global attractor to the initial and boundary value problem of 2D Boussinesq system in a periodic channel with non-hom…