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X-ORIGINAL-URL:https://www.math.ens.psl.eu
X-WR-CALDESC:évènements pour Département de mathématiques et applications
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DTSTART:20100328T010000
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DTSTART;TZID=Europe/Paris:20100323T090000
DTEND;TZID=Europe/Paris:20100323T100000
DTSTAMP:20260415T132148
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LAST-MODIFIED:20241014T125405Z
UID:7877-1269334800-1269338400@www.math.ens.psl.eu
SUMMARY:Kinetic equation for the weakly nonlinear Schroedinger equation
DESCRIPTION:Since the basic work of Peierls it is common consensus thatweakly nonlinear wave equations with random initial data can be wellapproximated by a kinetic equation. I will explain the precise conjecture.I will also discuss my recent joint work with J. Lukkarinen\, where wecontrol the kinetic limit in special cases for the lattice nonlinearSchroedinger equation.
URL:https://www.math.ens.psl.eu/evenement/kinetic-equation-for-the-weakly-nonlinear-schroedinger-equation/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Analyse non linéaire et EDP
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BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20100323T103000
DTEND;TZID=Europe/Paris:20100323T111500
DTSTAMP:20260415T132148
CREATED:20100323T093000Z
LAST-MODIFIED:20241014T125353Z
UID:7878-1269340200-1269342900@www.math.ens.psl.eu
SUMMARY:Cloaking and Singular Riemannian Metrics
DESCRIPTION:We describe recent theoretical and experimental progress on making objects invisible to detection by electromagnetic waves\, acoustic waves and matter waves. For the case of electromagnetic waves\, Maxwell’s equations have transformation laws that allow for design of electromagnetic materials that steer light around a hidden region\, returning it to its original path on the far side. Not only would observers be unaware of the contents of the hidden region\, they would not even be aware that something was being hidden. The object\, which would have no shadow\, is said to be cloaked. We recount some of the history of the subject and discuss some of the mathematical issues involved\, in particular the use of singular Riemannian metrics.
URL:https://www.math.ens.psl.eu/evenement/cloaking-and-singular-riemannian-metrics/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Analyse non linéaire et EDP
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Paris:20100323T113000
DTEND;TZID=Europe/Paris:20100323T121500
DTSTAMP:20260415T132148
CREATED:20100323T103000Z
LAST-MODIFIED:20241014T125345Z
UID:7879-1269343800-1269346500@www.math.ens.psl.eu
SUMMARY:Inverse Transport Problems and Photoacoustics
DESCRIPTION:Inverse transport consists of reconstructing the optical parameters in a transportequation from knowledge of a measurement operator. We review several uniqueness andstability results obtained in the context of various boundary measurements as they arisee.g. in optical tomography\, a medical imaging modality. Accurate numerical reconstructionsobtained by carefully capturing the singularities of the measurement operator are also brieflypresented.In many practical settings\, the typical boundary measurements available in inversetransport do not allow us to reconstruct the optical parameters with sufficient resolution.In the second part of the talk\, I present recent results obtained for the inverse trans-port problem with internal controls as they arise in the application of photoacoustic to-mography\, a recent hybrid medical imaging modality that combines the large contrastobserved in optical parameters with the high resolution of ultrasounds.
URL:https://www.math.ens.psl.eu/evenement/inverse-transport-problems-and-photoacoustics/
LOCATION:ENS Salle W
CATEGORIES:Séminaire Analyse non linéaire et EDP
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