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DTSTAMP:20210309T210000Z
UID:1614953811081@events.msu.edu
CATEGORIES:Conferences / Seminars / Lectures
DTSTART:20210309T210000Z
DTEND:20210309T220000Z
SUMMARY:Math Seminar Series
DESCRIPTION:
 Colloquium\n
 \n
 Andrea Nahmod, University of Massachusetts 
 Amherst, will be speaking.\n
 \n
 The 
 title of the seminar is "Propagation of randomness 
 under the flow of nonlinear dispersive 
 equations."\n
 \n
 Contact Aaron D Levin for more 
 information.\n
 \n
 The study of partial differential 
 equations (PDEs) with randomness has become 
 an important and influential subject in 
 the last few decades. In this talk we focus on 
 the time dynamics of solutions of nonlinear 
 dispersive equations with random initial data. 
 It is well known that in many situations, 
 randomization improves the behavior of solutions 
 to PDEs: the key underlying difficulty is 
 in understanding how randomness propagates under 
 the flow of nonlinear PDEs. In this context, 
 starting with an overview of J. Bourgain's 
 seminal work on the invariance of Gibbs measures 
 for nonlinear Schrödinger equations we 
 describe new methods that offer deeper insights. 
 We discuss in particular the theory of random 
 tensors, a powerful new framework that 
 we developed with Yu Deng and Haitian Yue, which 
 allows us to unravel the propagation of randomness 
 beyond the linear evolution of random 
 data and probe the underlying random structure 
 that lives on high frequencies/fine scales. 
 \n\n
 Price: free\n
 Sponsor: Department of Mathematics\n
 Sponsor's Homepage: https://www.math.msu.edu/\n
 Contact name: Department of Mathematics\n
 Contact phone: (517) 353-0844\n
 for more info visit the web at:\n 
 https://www.math.msu.edu/Seminars/CalendarView.aspx?month-of=September2016\n
LOCATION:Online via Zoom
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