358 citations · 1.1k across the 21 of their papers we have counts for
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math.AP2017★ 1 cited
Navier and Stokes meet Poincar\' e and Dulac
Ciprian Foias, Luan Hoang, Jean-Claude Saut
This paper surveys various precise (long-time) asymptotic results for the solutions of the Navier-Stokes equations with potential forces in bounded domains. It turns out that that…
math.AP2017
Downscaling data assimilation algorithm with applications to statistical solutions of the Navier-Stokes equations
Animikh Biswas, Ciprian Foias, Cecilia F. Mondaini +1
Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map…