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SUMMARY:Global well-posedness and decay for the viscous surface wave probl
 em without surface tension - Ian Tice (Universite Paris-Est Creteil)
DTSTART:20120228T160000Z
DTEND:20120228T170000Z
UID:TALK36446@talks.cam.ac.uk
CONTACT:Chanwoo Kim
DESCRIPTION: We study the incompressible\, gravity-driven Navier-Stokes\ne
 quations in three dimensional domains with free upper boundaries and\nfixe
 d lower boundaries\, in both the horizontally periodic and\nnon-periodic s
 ettings.  The effect of surface tension is not included.\nWe employ a nove
 l two-tier nonlinear energy method that couples the\nboundedness of certai
 n high-regularity norms to the algebraic decay of\nlower-regularity norms.
   The algebraic decay allows us to balance the\ngrowth of the highest orde
 r derivatives of the free surface function\,\nwhich then allows us to deri
 ve a priori estimates for solutions.  When\ncoupled with an appropriate lo
 cal well-posedness theory\, our a priori\nestimates then yield global-in-t
 ime solutions that decay to equilibrium\nat an algebraic rate.  This is jo
 int work with Yan Guo.
LOCATION:CMS\, MR4
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