Analysis, PDE & Probability Seminar

Upcoming Seminars

2026. 2. 3 (Tue) 10:00-11:00  Room Online
Hyunwoo Kwon (Brown University)

표면장력효과를 고려한 단상 무스캣 문제의 대역해의 존재성

ABSTRACT. 단상 무스캣 문제는 다공성 매질에서 건조한 영역과 Darcy's flow에 의해 기술되는 유체가 있는 영역 사이의 경계면의 발전을 다룹니다. 표면장력효과를 고려하는 것은 물리적인 이유로도 자연스럽지만, 이 효과를 고려할 경우, 해 자체에 대해 극대원리와 같은 수단을 쓸 수가 없어 문제해결 난이도가 복잡해집니다. 이 발표에서는 전공간에서 정의되었거나 주기성을 고려해도 초기조건이 적절히 작다면, 대역해의 존재성을 보입니다. 더불어 주기성을 고려할 경우, 해의 점근성도 보입니다. 본 발표는 董弘桀(동홍지에) 교수님과의 공동연구를 바탕으로 하며, 발표자료도 한국어로 진행합니다.

2026. 2. 23 (Mon) 16:00-17:00  Room 1423
Hyungsung Yun (Changwon National University)

TBA

ABSTRACT. TBA

2026. 2. 24 (Tue) 16:00-17:00  Room 8309
Kenta Nakamura (Nihon University)

Volume concentration phenomenon for the p-Sobolev flow

ABSTRACT. We provide a new quantitative local boundedness for the p-Sobolev flow, which is a nonlinear generalization of the gradient flow concerning the p-Dirichlet energy on a bounded domain. In the case p=2, the p-Sobolev flow is the heat flow. This estimate enables us to observe a volume concentration phenomenon for the p-Sobolev flow. This is based on a joint work with Tuomo Kuusi and Masashi Misawa.

2026. 3. 23 (Mon) 14:00-15:00  Room 1423
Geuntaek Seo (POSTECH)

TBA

ABSTRACT. TBA

2026. 3. 23 (Mon) 15:00-16:00  Room 1424
Sungjin Lee (Sogang University)

TBA

ABSTRACT. TBA

2026. 3. 23 (Mon) 16:00-17:00  Room 1424
Dong-ha Kim (Ajou University)

TBA

ABSTRACT. TBA

2026. 3. 30 (Mon) 16:00-17:00  Room 1424
Jaeyong Shin (Yonsei University)

TBA

ABSTRACT. TBA

Past Seminars

2026 Seminars
2025 Seminars
2024 Seminars
2023 Seminars
2022 Seminars
2021 Seminars
2020 Seminars
2019 Seminars

Organizers

Jae-Hwan Choi   -   Korea Institute for Advanced Study

Yong-Gwan Ji   -   Korea Institute for Advanced Study

Nam-Gyu Kang   -   Korea Institute for Advanced Study

Taegyu Kim   -   Korea Institute for Advanced Study

Wontae Kim   -   Korea Institute for Advanced Study

Joonhyun La   -   Korea Institute for Advanced Study

Jung-Kyoung Lee   -   Korea Institute for Advanced Study

Juyoung Lee   -   Korea Institute for Advanced Study

Se-Chan Lee   -   Korea Institute for Advanced Study

Sewook Oh   -   Korea Institute for Advanced Study

Sung-Jin Oh   -   UC Berkeley & KIAS

Hyangdong Park   -   Korea Institute for Advanced Study

Junehee Ryu   -   Korea Institute for Advanced Study

Jinsol Seo   -   Korea Institute for Advanced Study

Kyeong Song   -   Korea Institute for Advanced Study

Directions

Korea Institute for Advanced Study
Buildings 1 & 8, 85 Hoegi-ro, Dongdaemun-gu, Seoul, Korea



June E Huh Center for Mathematical Challenges
2nd Floor, 118 Hongneung-ro, Dongdaemun-gu, Seoul, Korea