BZ Seminar in Analysis: Roland Donninger (HCM, University of Bonn)

Self-similar blowup in nonlinear wave equations

Blowup via self-similar solutions is ubiquitous in nonlinear wave equations, in particular in the energy-supercritical case. There are many examples where a self-similar solution is actually conjectured to describe the generic blowup of the equation. I will report on recent progress in understanding the stability of self-similar solutions in semilinear wave equations.

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