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SUMMARY:Convergence to equilibrium for gradient-like systems with analytic
features
DTSTART;VALUE=DATE-TIME:20160615T143000Z
DTEND;VALUE=DATE-TIME:20160615T150500Z
DTSTAMP;VALUE=DATE-TIME:20200704T162731Z
UID:indico-contribution-2982@indico.math.cnrs.fr
DESCRIPTION:Speakers: Morgan Pierre (Laboratoire de Mathématiques et Appl
ications)\nA celebrated result of S. Lojasiewicz states that every bounded
solution of a gradient flow associated to an analytic function converges
to a steady state as time goes to infinity. Convergence rates can also be
obtained. These convergence results have been generalized to a large varie
ty of finite or infinite dimensional gradient-like flows. The fundamental
example in infinite dimension is the semilinear heat equation with an anal
ytic nonlinearity. In this talk\, we show how some of these results can be
adapted to time discretizations of gradient-like flows\, in view of appli
cations to PDEs such as the Allen-Cahn equation\, the sine-Gordon equation
\, the Cahn-Hilliard equation\, the Swift-Hohenberg equation\, or the phas
e-field crystal equation.\n\nhttps://indico.math.cnrs.fr/event/939/contrib
utions/2982/
LOCATION: Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/939/contributions/2982/
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