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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

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
- let ? ?
- when studying global

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Language | English |

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