Stable blowup for the higher-dimensional Skyrme model

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Event details

Date 08.11.2024
Hour 14:15
Speaker Prof. Gigliola Staffilani - Massachusetts Institue of Technology -  USA
Location
Category Conferences - Seminars
Event Language English

In this talk we will use the periodic cubic nonlinear Schrödinger equation to present some estimates of the long time dynamics of the energy spectrum, a fundamental object in the study of wave turbulence theory. Going back to Bourgain, one possible way to conduct the analysis is to look at the growth of high Sobolev norms. It turns out that this growth is sensitive to the nature of the space periodicity of the system. I will present a combination of old and very recent results in this direction.