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SUMMARY:Sanchit Chaturvedi (Stanford University)
DTSTART:20201103T171500Z
DTEND:20201103T182500Z
DTSTAMP:20260404T111322Z
UID:PDEseminarUPenn/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/PDEse
 minarUPenn/1/">Vector field method for collisional kinetic models</a>\nby 
 Sanchit Chaturvedi (Stanford University) as part of Partial Differential E
 quations Seminar at UPenn\n\n\nAbstract\nThe vector field method developed
  by Klainerman has been widely successful in the study of wave equations a
 nd general relativity. Recently\, the vector field approach has been adapt
 ed to understand the dispersion due to the transport operator in both coll
 isionless and collisional kinetic models. As an application of the approac
 h\, I will briefly discuss the stability of vacuum for Landau equation res
 ults (due to Luk for the moderately soft potentials case and due to me for
  the hard potentials case). Next\, I will discuss my recent result on stab
 ility of vacuum for Boltzmann equation with moderately soft potentials. \n
 In addition to understanding dispersion\, the vector field approach can be
  used to understand phase mixing in the weakly collisional regime. To illu
 strate that I will present a work in progress (in collaboration with Jonat
 han Luk and Toan Nguyen) where we consider the Vlasov--Poisson--Landau equ
 ation in the weakly collisional regime and prove that the for appropriatel
 y small sized data\, the solution exhibits enhanced dissipation and Landau
  damping.\n
LOCATION:https://stable.researchseminars.org/talk/PDEseminarUPenn/1/
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SUMMARY:Quoc hung Nguyen (Shanghaitech university)
DTSTART:20210406T161500Z
DTEND:20210406T171500Z
DTSTAMP:20260404T111322Z
UID:PDEseminarUPenn/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/PDEse
 minarUPenn/2/">Well-posedness of the Muskat problem</a>\nby Quoc hung Nguy
 en (Shanghaitech university) as part of Partial Differential Equations Sem
 inar at UPenn\n\n\nAbstract\nI will present local and global well-posednes
 s of the 2d muskat problem with viscosity jump and surface tension when th
 e interface is a graph.\n\nZoom link will be posted at the following web p
 age at least two hours before the talk: www.math.upenn.edu/events/seminars
 /partial-differential-equations-seminar\n\nJoin Zoom Meeting\nhttps://upen
 n.zoom.us/j/98243656806?pwd=dlFHOHZ0bW1SWjJUMStqUENBeUxCZz09\n\nMeeting ID
 : 982 4365 6806\nPasscode: 641370\n
LOCATION:https://stable.researchseminars.org/talk/PDEseminarUPenn/2/
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