Asymptotic behavior of global

Niveau: Supérieur
Asymptotic behavior of global solutions to the Navier-Stokes Equations in R 3 Fabrice Planchon ? Centre de Mathematiques, U.R.A. 169 du C.N.R.S., Ecole Polytechnique, F-91 128 Palaiseau Cedex Abstract We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions. Introduction When studying global solutions to an evolution problem, it is natural to study their asymptotic behavior, as it is usually a simpler way to describe the long term behavior than the solution itself. Global solution of the non-linear heat equation have been showed to be asymptotically close to self-similar solutions ?Currently Program in Applied and Computational Mathematics, Princeton University, Princeton NJ 08544-1000 , USA 1

• following heuristic


• differential operator


• similar solution


• navier stokes equations


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• when studying global