Dynamics at the threshold for blowup for supercritical wave equations outside a ball

Autor(en)

Piotr Bizoń, Maciej Maliborski

Abstrakt

We consider spherically symmetric supercritical focusing wave equations outside a ball. Using mixed analytical and numerical methods, we show that the threshold for blowup is given by a codimension-one stable manifold of the unique static solution with exactly one unstable direction. We analyse in detail the convergence to this critical solution for initial data fine-tuned to the threshold.

Organisation(en)

Gravitationsphysik

Externe Organisation(en)

Jagiellonian University in Krakow

Journal

Nonlinearity

Band

33

Seiten

3195-3205

Anzahl der Seiten

11

ISSN

0951-7715

DOI

https://doi.org/10.1088/1361-6544/ab8352

Publikationsdatum

05-2020

Peer-reviewed

Ja

ÖFOS 2012

103036 Theoretische Physik

Schlagwörter

ASJC Scopus Sachgebiete

Statistical and Nonlinear Physics, Mathematical Physics, Allgemeine Physik und Astronomie, Applied Mathematics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/fceff2a7-39c6-418f-9bce-a1c79d2eade1