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Ken Abe

Global well-posedness of the two-dimensional exterior Navier-Stokes equations for non-decaying data
Mercredi, 13 Septembre, 2017 - 10:30
Résumé : 

We consider the two-dimensional Navies-Stokes equations in an exterior domain, subject to the Dirichlet boundary condition. Stationary solutions of this problem and their asymptotic behavior
have been studied in a large literature, while a few results are known about the non-stationary problem for non-decaying initial data. We report some global well-posedness result for bounded initial data
with a finite Dirichlet integral, and unique existence of asymptotically constant solutions for arbitrary large Reynolds numbers.

Institution de l'orateur : 
Osaka City University
Thème de recherche : 
Physique mathématique
Salle : 
Salle 1, tour IRMA
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