今後のセミナーの予定
Schedules of future seminars
● 2025 年 7 月 11 日 (Fri) 16:00 〜 17:00
- 講演者
- Sanghyuk Lee 氏 （Seoul National University）
- 講演題目
- Estimates for oscillatory integrals with damping factors
- 講演要旨
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HERE(pdf)
● 2025 年 7 月 18 日 (Fri) 16:00 〜 17:00
- 講演者
- 柳田 英二 氏 （東京大学）
Eiji Yanagida (The University of Tokyo)
- 講演題目
- Traveling singular solutions of the fast-diffusion equation
- 講演要旨
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We consider the existence of traveling singular solutions of the fast diffusion equation.
By introducing some orthogonal coordinates, the problem can be reduced to ODEs on a finite interval.
We classify solutions by the shape of singular sets and show the existence of traveling singular solutions of various types.
It is shown that the structure of traveling singular solutions depends on a parameter characterizing the diffusivity, and some critical values appear depending on the spatial dimension.
The results are applied to show the existence of more general solutions with dynamic singularities.
This talk is partly based on a joint work with Jann-Long Chern.