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\( \det ( \nabla^2 u ) = f \)
The London PDE Seminar is a London-based seminar featuring speakers at the forefront of mathematical research in partial differential equations.
Upcoming Seminars
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Date/Time:
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14:00 (London time), Friday, 13 November 2026
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Location:
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Imperial College London
Room 658; Huxley Building
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Speaker:
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Saehoon Eo (Stanford University)
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Title:
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Nonlinear Phase Mixing in the Einstein-Vlasov System near Schwarzschild Spacetime
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Abstract:
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We discuss the dynamics of the spherically symmetric Einstein-Vlasov system near Schwarzschild spacetime, for perturbations supported on bounded geodesics, and hence the characteristics of the Vlasov equation remain in a compact set.
In this regime the matter does not disperse — the main new difficulty — and one can only hope for decay of time derivatives.
Via linear and nonlinear phase mixing in dynamical action-angle variables, we prove polynomial decay of the time derivatives of the energy-momentum tensor and the metric coefficients on a long time interval.
The key ingredients are the usage of isotropic coordinate, dynamical action-angle variables, and vector field methods.
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Organisers
Acknowledgments
The London PDE Seminar is currently partly funded by:
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