Wednesday, January 29, 2025 - 16:15 in V4-116 + Zoom
Blow up solutions for the energy-critical Zakharov equation
A talk in the Oberseminar Analysis series by
Tobias Schmid from (EPFL)
| Abstract: |
In this talk we consider the energy-critical 4D Zakharov system and present a result on finite-time concentration (or renormalization) blow up near the solitary ground state solution. We first outline the construction of „well behaved“ approximate solutions near the solitary bulk solutions with a fast decaying error and which are inspired by matched asymptotic expansions. Finally we explain how to obtain exact solutions using Fourier techniques for the linearized flow and modulation theory. In particular, we highlight novel difficulties compared to previous results in same direction. The talk is based on joint work with Joachim Krieger (EPFL).
Within the CRC this talk is associated to the project(s): A1 |
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