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BEGIN:VEVENT
UID:news477@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20181228T225557
DTSTART;TZID=Europe/Zurich:20141203T161500
SUMMARY:Seminar Analysis: Stefano Spirito (Gran Sasso Science Institute\, L
 ’Aquila)
DESCRIPTION:In this talk I will discuss the problem of the approximation of
  suitable weak solutions of Navier-Stokes equations in the sense of Scheff
 er and Caffarelli-Kohn-Nirenberg. It is well-known that suitable weak solu
 tions enjoy the partial regularity theorem proved in  the  famous  paper  
 of  Caffarelli-Kohn-Nirenberg\,  hence  they  are  more  regular  than  a 
 Leray weak solutions.  However\, since the uniqueness of weak solutions of
  Navier-Stokes is unknown we don’t know if different approximation metho
 ds lead to a suitable weak solution.  I will present a recent result obtai
 ned with L. C. Berselli (University of Pisa) where we proved that weak sol
 utions obtained by some artificial compressibility approximation are suita
 ble.  The novelty of the result is that the Navier-Stokes equations are co
 nsidered in a bounded domain with Navier boundary conditions.
X-ALT-DESC:\nIn this talk I will discuss the problem of the approximation o
 f suitable weak solutions of Navier-Stokes equations in the sense of Schef
 fer and Caffarelli-Kohn-Nirenberg. It is well-known that suitable weak sol
 utions enjoy the partial regularity theorem proved in  the  famous  paper 
  of  Caffarelli-Kohn-Nirenberg\,  hence  they  are  more  regular  than  a
  Leray weak solutions.  However\, since the uniqueness of weak solutions o
 f Navier-Stokes is unknown we don’t know if different approximation meth
 ods lead to a suitable weak solution.  I will present a recent result obta
 ined with L. C. Berselli (University of Pisa) where we proved that weak so
 lutions obtained by some artificial compressibility approximation are suit
 able.  The novelty of the result is that the Navier-Stokes equations are c
 onsidered in a bounded domain with Navier boundary conditions.
DTEND;TZID=Europe/Zurich:20141203T171500
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