[Turkmath:9136] Galatasaray Matematik semineri, 25 Haziran Aynur Bulut (Institute of Advanced Studies, Princeton)

[Susumu Tanabe]

Değerli Liste Üyeleri;
 Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 25 Haziran  (salı günü) Aynur Bulut (Institute of Advanced Studies, Princeton) konuşmacı olacaktır. Konuşma ile ilgili detaylı bilgi aşağıdadır:
   Saygılarımla;
     Susumu Tanabé

 

Date/ gün: 25 Haziran  (salı) 15:00 

Lieu /yer: Galatasaray Üniversitesi FEF 10.
Speaker /konuşmacı: Aynur Bulut (Institute of Advanced Studies, Princeton)

Title/ başlık: Gibbs measure evolution and probabilistic global well-posedness  
for radial nonlinear Schrödinger and wave equations on the unit ball.
 
We discuss recent works, joint with Jean Bourgain, in which we establish new global well-posedness results along Gibbs measure  
evolutions for the radial nonlinear wave and Schrodinger equations  
posed on the unit ball in R^N.  We consider initial data consisting of  
Gaussian random processes lying in the support of the associated Gibbs  
measures, and results are obtained almost surely with respect to these  
probability measures.  Our techniques are based on an analysis of  
convergence properties of solutions to sequences of finite-dimensional  
projections of the equations.  Key tools include a class of  
probabilistic a priori bounds, estimates of fine frequency  
interactions for solutions of the projected equations, and use of  
invariance properties of the Gibbs measure which allow to extend our  
bounds to arbitrary long times. 		 	   		  
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