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SUMMARY:Christian Kühn (TU Munich)
DTSTART:20210513T130000Z
DTEND:20210513T140000Z
DTSTAMP:20260423T035826Z
UID:SNPDEA/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNPDEA/27/">
 Geometric Singular Perturbation Theory for Fast-Slow PDEs</a>\nby Christia
 n Kühn (TU Munich) as part of "Partial Differential Equations and Applica
 tions" Webinar\n\n\nAbstract\nSystems with multiple time scales appear in 
 a wide variety of applications. Yet\, their mathematical analysis is chall
 enging already in the context of ODEs\, where about four decades were need
 ed to develop a more comprehensive theory based upon invariant manifolds\,
  desingularization\, variational equations\, and many other techniques.\nY
 et\, for PDEs progress has been extremely slow due to many obstacles in ge
 neralizing several ODE methods. In my talk\, I shall report on two recent 
 advances for fast-slow PDEs\, namely the extension of slow manifold theory
  for unbounded operators driving the slow variables\, and the design of a 
 blow-up method for PDEs\, where normal hyperbolicity is lost. This is join
 t work with Maximilian Engel and Felix Hummel.\n
LOCATION:https://researchseminars.org/talk/SNPDEA/27/
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