Programme
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mercredi 10 juin 2026 |
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09:00
10:00
11:00
12:00
13:00
14:00
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›9:30 (40min)
Herbert Koch
Title: Smoothing for the scattering operator for gKdV and NLS. Abstract: Consider a nonlinear dispersive equation (defocusing or small data) like gKdV or NLS in the mass critical or supercritical regime. The inverse of the wave operator Omega_+ maps the initial data u_0 to the forward scattering data v_0 so that u(t)-v(t) converges to zero. Here u(t) is the solution to the nonlinear dispersive equation and v(t) is the solution to the linear dispersive equation with initial data u_0 resp. v_0. Above the scaling critical space u_0-v_0 is more regular than u_0. A similar phenomenon occurs for stochastic initial data. This is joint work with Nicolas Burq, Nikolay Tzvetkov and Nicola Visciglia.
›10:20 (40min)
Pierre Raphaël
Title: On the discovery of defocusing blow up bubbles. Abstract: I will describe the 20 years long research path which led to the discovery of defocusing super critical blow up bubbles and their viscous fluid analogues, and how spectral analysis played a fundamental role.
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Session |
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Discours/Intervention |
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Logistique |
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