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physics.flu-dyn2006
Global Well-posedness of the Three-dimensional Viscous and Inviscid Simplified Bardina Turbulence Models
Y. Cao, E. M. Lunasin, E. S. Titi
In this paper we present analytical studies of three-dimensional viscous and inviscid simplified Bardina turbulence models with periodic boundary conditions. The global existence a…
math.AP2006
Trivial Stationary Solutions to the Kuramoto-Sivashinsky and Certain Nonlinear Elliptic Equations
Yanping Cao, Edriss S. Titi
We show that the only locally integrable stationary solutions to the integrated Kuramoto-Sivashinsky equation in and are the trivial constant solutions. We extend our tec…