Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle

Collection Advances in Nonlinear Analysis and Nonlinear Waves, a conference in honor of Frank Merle

Organisateur(s) C. Collot, R. Côte, F. Demengel, T. Duyckaerts, J. Jendrej, Y. Lan, E. Logak, Y. Martel, C. Muñoz, P. Raphaël, J. Szeftel, N. Tzvetkov et H. Zaag

Date(s) 22/05/2023 - 26/05/2023

URL associée https://indico.math.cnrs.fr/event/8535/

00:00:00 / 00:00:00

18 19

On continuous time bubbling for the harmonic map heat flow in two dimensions

De Wilhelm Schlag

I will describe recent work with Jacek Jendrej (CNRS, Paris Nord) and Andrew Lawrie (MIT) on harmonic maps of finite energy from the plane to the two sphere, without making any symmetry assumptions. While it has been known since the 1990s that bubbling occurs along a carefully chosen sequence of times via an elliptic Palais-Smale mechanism, we show that this continues to hold continuously in time. The key notion is that of the “minimal collision energy” which appears in the soliton resolution result by Jendrej and Lawrie on critical equivariant wave maps.

Informations sur la vidéo

Date de captation 26/05/2023
Date de publication 31/05/2023
Institut IHES
Langue Anglais
Audience Chercheurs
Format MP4

Domaine(s)

Equations aux dérivées partielles

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