Department Seminars & Colloquia




2026-11
Sun Mon Tue Wed Thu Fri Sat
1 2 1 3 4 5 6 7
8 9 1 10 11 12 13 14
15 16 17 18 19 20 21
22 23 24 25 26 27 28
29 30          
2026-12
Sun Mon Tue Wed Thu Fri Sat
    1 2 3 4 5
6 7 8 9 10 11 12
13 14 15 16 17 18 19
20 21 22 23 24 25 26
27 28 29 30 31    

When you're logged in, you can subscribe seminars via e-mail

Contact: 정희진 (042-350-2786)     To be announced     2026-09-14 10:03:12
In this second talk, we apply the channel of energy method to the nonlinear analysis of radial Type II blow-up for the three-dimensional focusing energy-critical wave equation. We discuss how radiation estimates interact with concentration and compactness to produce rigidity, and how this leads to the classification of possible blow-up profiles. Finally, we relate these ideas to the soliton resolution picture for bounded radial solutions. [References] 1. T. Duyckaerts, C. E. Kenig, F. Merle, Universality of blow-up profile for small radial Type II blow-up solutions of the energy-critical wave equation, J. Eur. Math. Soc. 13 (2011), 533–599. 2. T. Duyckaerts, C. E. Kenig, F. Merle, Classification of radial solutions of the focusing, energy-critical wave equation, Cambridge J. Math. 1 (2013), 75–144.
Contact: 정희진 (042-350-2786)     To be announced     2026-09-14 10:06:20