Carolin Gietz

Björn Bringmann (UCLA): Probabilistic global well-posedness for radial nonlinear wave equations

Wednesday, 18.07.2018 14:15 im Raum M5

Mathematik und Informatik

In this talk we discuss the well-posedness of nonlinear wave equations with rough and random initial data. Even if the initial data lives at a regularity for which deterministic ill-posedness is known, we show that one can still construct solutions in an almost sure sense. In the beginning of the talk we will review the basic deterministic theory for nonlinear wave equations. Then, we will describe the construction of the randomized initial data. The focus in this talk lies on a randomization that yields spherically symmetric initial data. This leads to an interesting trade-off between geometric structure (spherical symmetry) and randomness. Finally, we will discuss the global behaviour of solutions to the radial energycritical nonlinear wave equation with random initial data. To this end, we introduce a novel interaction flux estimate.

Angelegt am Friday, 15.06.2018 12:04 von Carolin Gietz
Geändert am Thursday, 05.07.2018 09:29 von Carolin Gietz
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Kolloquium der angewandten Mathematik