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DTSTART:20100328T010000
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DTSTART;TZID=Europe/Paris:20100518T103000
DTEND;TZID=Europe/Paris:20100518T111500
DTSTAMP:20260415T092946
CREATED:20100518T083000Z
LAST-MODIFIED:20241014T125631Z
UID:7882-1274178600-1274181300@www.math.ens.psl.eu
SUMMARY:Global dynamics beyond the ground energy for the nonlinear Klein-Gordon equation
DESCRIPTION:We study global behavior of the nonlinear Klein-Gordon equation with a focusing cubic power in three dimensions\, in the energy space under the restriction of radial symmetry and an energy upper bound slightly above that of the ground state. We give a complete classification of the solutions into 9 non-empty sets according to whether they blow-up\, scatter to 0\, or scatter to the ground states\, in the forward and backward time directions\, and the splitting is given in terms of the stable and the unstable manifoldsof the ground states. This is joint work with Wilhelm Schlag.
URL:https://www.math.ens.psl.eu/evenement/global-dynamics-beyond-the-ground-energy-for-the-nonlinear-klein-gordon-equation/
LOCATION:Chevaleret
CATEGORIES:Séminaire Analyse non linéaire et EDP
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20100518T113000
DTEND;TZID=Europe/Paris:20100518T121500
DTSTAMP:20260415T092946
CREATED:20100518T093000Z
LAST-MODIFIED:20241014T125620Z
UID:7926-1274182200-1274184900@www.math.ens.psl.eu
SUMMARY:Quasistatic crack growth in finite elasticity
DESCRIPTION:We present a variational model for quasistatic evolutions of brittle cracks in hyperelastic bodies\, in the context of finite elasticity.All existence results on this subject that can be found in the mathematical literature were obtained using energy densities with polynomial growth. This is not compatible with the standard assumption in finite elasticity that the strain energy diverges as the determinant of the deformation gradient tends to zero. On the contrary\, we consider a wide class of energy densities satisfying this property
URL:https://www.math.ens.psl.eu/evenement/quasistatic-crack-growth-in-finite-elasticity/
LOCATION:Chevaleret
CATEGORIES:Séminaire Analyse non linéaire et EDP
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