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UID:1e03265b8baff7660d43d4ccc6d5184b
CATEGORIES:Mathematical Physics Seminar
CREATED:20220209T134337
SUMMARY:Geometric Wave Equations and Random data
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: We will introduce two types of wave equations whose elliptic part
 s arise from Geometric problems, the problem of uniformization or prescribi
 ng Gauss Curvature on the 2-sphere, and the problem of prescribing Mean cur
 vature for a surface. The corresponding elliptic equations have been studie
 d by Moser, A. Chang and Paul Yang, H. Brezis and Coron. Next we study the 
 initial value problem associated to the wave equation which has quadratic g
 rowth in the gradient. By randomizing the initial data in the spirit of J. 
 Lebowitz, H. Rose and E. Speer, we manage to show all the iterates of the s
 olutions exist. Previously it was known that even the first iterate blows u
 p by an example of Zhou. This is joint work with M. Czubak, D. Mendelson, A
 . Nahmod and G. Staffiliani.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: We will introduce two types of wave equations whose elliptic p
 arts arise from Geometric problems, the problem of uniformization or prescr
 ibing Gauss Curvature on the 2-sphere, and the problem of prescribing Mean 
 curvature for a surface. The corresponding elliptic equations have been stu
 died by Moser, A. Chang and Paul Yang, H. Brezis and Coron. Next we study t
 he initial value problem associated to the wave equation which has quadrati
 c growth in the gradient. By randomizing the initial data in the spirit of 
 J. Lebowitz, H. Rose and E. Speer, we manage to show all the iterates of th
 e solutions exist. Previously it was known that even the first iterate blow
 s up by an example of Zhou. This is joint work with M. Czubak, D. Mendelson
 , A. Nahmod and G. Staffiliani.</p>
CONTACT:Sagun Chanillo - Rutgers University
DTSTAMP:20260827T115848
DTSTART;TZID=America/New_York:20220224T120000
DTEND;TZID=America/New_York:20220224T130000
SEQUENCE:0
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