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VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:CAMS Colloquium: Mass Transfer and Global Solutions in a Micro
 -Scale Model of Superfluidity
X-WR-TIMEZONE:Pacific Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260719T062245Z
UID:tag:localist.com\,2008:EventInstance_45889455635274
DTSTART:20240318T223000Z
DTEND:20240318T233000Z
DESCRIPTION:Pranava Jayanti\, USC\n\n\nTitle: Mass Transfer and Global Solu
 tions in a Micro-Scale Model of Superfluidity\n\n \n\nAbstract: We investi
 gate a micro-scale model of superfluidity derived by Pitaevskii in 1959 to
  describe the interacting dynamics between the superfluid and normal fluid
  phases of Helium-4. This system consists of the nonlinear Schr\\”odinge
 r equation and the incompressible\, inhomogeneous Navier-Stokes equations\
 , coupled to each other via a bidirectional nonlinear relaxation mechanism
 . The coupling permits mass/momentum/energy transfer between the phases\, 
 and accounts for the conversion of superfluid into normal fluid. We prove 
 the existence of solutions in $\\mathbb{T}^d$ $(d=2\,3)$ for a power-type 
 nonlinearity\, beginning from small initial data. Depending upon the stren
 gth of the nonlinear self-interactions\, we obtain solutions that are glob
 al or almost-global in time. The main challenge is to control the inter-ph
 ase mass transfer in order to ensure the strict positivity of the normal f
 luid density\, while obtaining time-independent a priori estimates. We com
 pare two different approaches: purely energy based\, versus a combination 
 of energy estimates and maximal regularity. The results are from recent co
 llaborations with Juhi Jang and Igor Kukavica.
GEO:34.022409;-118.291027
LOCATION:Kaprielian Hall (KAP)\, 414
SUMMARY:CAMS Colloquium: Mass Transfer and Global Solutions in a Micro-Scal
 e Model of Superfluidity
URL;VALUE=URI:https://calendar.usc.edu/event/cams-colloquium-mass-transfer-
 and-global-solutions-in-a-micro-scale-model-of-superfluidity
CATEGORIES:Lecture / Talk / Workshop
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