Analysis, PDE & Probability Seminar

Upcoming Seminars

2025. 7. 29 (Tue) 16:00-17:00  Room 204 (Soorim)
Jinyeop Lee (University of British Columbia)

Derivation of the Chern-Simons-Schrodinger equation from the dynamics of an almost-bosonic-anyon gas

ABSTRACT. TBA

2025. 7. 30 (Wed) 16:00-17:00  Room 1423
Min Jun Jo (Duke University)

Cusp Formation in Vortex Patches

ABSTRACT. Cohen-Danchin (2000) conjectured that any initial vortex patch with acute corners would instantaneously evolve into a cusp structure of order one with logarithmic sharpness. This talk is based on the recent joint work with T. Elgindi where we fully affirm the conjecture.

2025. 8. 4 (Mon) 16:00-17:00  Room Online
Pêdra Andrade (Paris Lodron University of Salzburg)

Hölder Regularity of the Gradient for Degenerate Fully Nonlinear with Hamiltonian Terms

ABSTRACT. In this talk, we present optimal, quantitative Hölder regularity results for the gradient of solutions to a class of degenerate fully nonlinear elliptic equations. These equations are characterized by a loss of ellipticity as the gradient vanishes and include nonlinear firstorder terms of Hamiltonian type. The presence of such terms introduces additional challenges in the analysis, particularly in regimes where the gradient is very small or very large. Our approach combines perturbation techniques with a maximum principle argument, enabling us to overcome these difficulties and derive sharp interior regularity estimates.

2025. 8. 13 (Wed) 16:00-17:00  Room 1423
In-Jee Jeong (Seoul National University)

Sharp Hölder estimates in corner domains and the incompressible Euler equations

ABSTRACT. We consider double Riesz transforms on certain corner domains, namely the domains obtained by intersections of half-spaces in Rn. We prove sharp Hölder estimates for functions not necessarily vanishing on the boundary. This can be applied to the incompressible Euler equations to obtain wellposedness and growth of norms of solutions in time.

Past Seminars

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

Organizers

Yong-Gwan Ji   -   Korea Institute for Advanced Study

Mingu Jung   -   Korea Institute for Advanced Study

Nam-Gyu Kang   -   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

Jinsol Seo   -   Korea Institute for Advanced Study

Hyungsung Yun   -   Korea Institute for Advanced Study

Jae-Hwan Choi   -   Korea Institute for Advanced Study

Junehee Ryu   -   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