Faculty Research Profile

수리과학과

이영애

부교수Youngae Lee

이영애

Youngae Lee

Biography

학력

− 2005.03.02 - 2012.08.10: PhD, Mathematics, POSTECH
Advisor: Jaeyoung Byeon
Thesis Title: On a variational method to bifurcation from infinity for nonlinear
elliptic problems

− 2001.03.02 - 2005.02.16: BS, Mathematics, POSTECH

주요 경력

- 2023.03.01-present: Associate Professor, Department of Mathematical Sciences, UNIST

- 2021.07.01-2023.02.28: Assistant professor, Department of Mathematical Sciences, UNIST

- 2018.03.01-2021.06.30: Assistant professor, Department of Mathematics Education, Kyungpook National University

- 2016.08.01- 2018.02.28: Post-Doctoral Fellow in NIMS

- 2012.08.16 - 2016.07.31: Post-Doctoral Fellow in Center for Advanced Study in Theoretical Science, National Taiwan University

수상/학회/외부활동

− 2019.01.01 ∼ 2020.12.31: POSCO TJ Park Science Fellowship, POSCO TJ
Park Foundation

− 2018.06.29: KWMS-NC Cultural Foundation Young Women Mathematician Award (pure math part)

− 2018.03.01 ∼ 2022.02.28 : Basic Science Research Program, National Research Foundation

− 2014.10.25: WISET-KMS Young Women Excellent Research Award

Research

비선형 해석학 연구실

Nonlinear analysis lab.

공형 기하, 수리 물리등에서 파생한 다양한 편미분 방정식을 비선형 해석학, 변분법을 바탕으로 이해
We study nonlinear analysis and calculus of variations in order to understand varioud partial differential equations which come from conformal geometry and mathematical physics.

We study nonlinear analysis and calculus of variations in order to understand varioud partial differential equations which come from conformal geometry and mathematical physics.

연구분야

편미분방정식, 변분법, 비선형해석학, 공형기하, 수리물리 / partial differential equations, calculus of variations, nonlinear analysis, conformal geometry, mathematical physics

partial differential equations, calculus of variations, nonlinear analysis, conformal geometry, mathematical physics

연구주제

비선형 타원형 방정식, 슈뢰딩거 시스템, 천-사이먼스 모델, 평균장 방정식, 토다 시스템
nonlinear elliptic equation, Schrodinger system, Chern-Simons model, mean field equation, Toda system

nonlinear elliptic equation, Schrodinger system, Chern-Simons model, mean field equation, Toda system

국가연구개발사업 기술 분류체계

국가과학기술표준분류

NA. 수학 > NA02. 해석학 > NA0206. 편미분방정식

Outputs

논문

1. Yen-Wen Fan, Youngae Lee (corresponding author), Chang-Shou Lin, Mixed type solutions of the SU(3) models on a torus, Communications in Mathematical Physics, Volume 343, Issue 1, April 2016, 233-271

2. Youngae Lee (first author), Jinmyoung Seok, Multiple interior and boundary peak solutions to singularly perturbed nonlinear Neumann problems under the Berestycki-Lions condition, Mathematische Annalen, Volume 367, Issue 1, February 2017, 881-928

3. Youngae Lee (corresponding author), Chang-Shou Lin, Uniqueness of bubbling solutions with collapsing singularities, Journal of Functional Analysis, Volume 277, Issue 2, 15 July 2019, 522-557