BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Stephen Cameron (Courant Institute\, NYU)
DTSTART:20210121T130000Z
DTEND:20210121T135000Z
DTSTAMP:20260423T035614Z
UID:IMS/75
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/75/">Glo
 bal Existence for the 3D Muskat problem</a>\nby Stephen Cameron (Courant I
 nstitute\, NYU) as part of PDE seminar via Zoom\n\n\nAbstract\nThe Muskat 
 problem studies the evolution of the interface between two incompressible\
 , immiscible fluids in a porous media.  In the case that the fluids have e
 qual viscosity and the interface is graphical\, this system reduces to a s
 ingle nonlinear\, nonlocal parabolic equation for the parametrization.  Ev
 en in this stable regime\, wave turning can occur leading to finite time b
 lowup for the slope of the interface.  Before that blowup though\, we prov
 e that an imperfect comparison principle still holds.  Using this\, we are
  able to show that solutions exist for all time so long as either the init
 ial slope is not too large\, or the slope stays bounded for a sufficiently
  long time.\n
LOCATION:https://researchseminars.org/talk/IMS/75/
END:VEVENT
END:VCALENDAR