Remarks on the critical coupling strength for the Cucker-Smale model with unit speed

JOURNAL ARTICLE published 2018 in Discrete & Continuous Dynamical Systems - A

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | Dongnam Ko | Yinglong Zhang | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul, 02455, Republic of Korea | ,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Republic of Korea | ,Department of Mathematical Sciences, Industrial and Mathematical Data Analytics Research Center, Seoul National University, Seoul 08826, Republic of Korea

A global well-posedness and asymptotic dynamics of the kinetic Winfree equation

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - B

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul, 08826, Korea | Jinyeong Park | Xiongtao Zhang | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul, 02455, Korea | ,Department of Mathematics and Research Institute of Natural Sciences, Hanyang University, 222 Wangsimni-ro, Seongdong-gu, Seoul 04763, Korea | ,Center for Mathematical sciences, Huazhong University of Science and Technology, Luoyu road 1037, Wuhan 430074, China

Emergent behaviors of two attractively coupled swarm sphere models with frustration

JOURNAL ARTICLE published 2023 in Discrete and Continuous Dynamical Systems - B

Authors: Hangjun Cho | Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea | Seung-Yeal Ha | Dohyun Kim | Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea | Department of Mathematics Education, Sungkyunkwan University, Seoul 03063, Korea

Emergence of anomalous flocking in the fractional Cucker-Smale model

JOURNAL ARTICLE published 2019 in Discrete & Continuous Dynamical Systems - A

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | Jinwook Jung | Peter Kuchling | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul 02455, Republic of Korea | ,Department of Mathematical Sciences, Seoul National University, Seoul, 08826, Republic of Korea | ,Faculty of Mathematics, Bielefeld University, Bielefeld 33501, Germany

Emergent dynamics of an orientation flocking model for multi-agent system

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - A

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | Dohyun Kim | Jaeseung Lee | Se Eun Noh | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul, 02455, Republic of Korea | ,National Institute for Mathematical Sciences, 70, Yuseong-daero 1689 beon-gil, Yuseong-gu, Daejeon 34047, Republic of Korea | ,The Research Institute of Basic Sciences, Seoul National University, Seoul 08826, Republic of Korea | ,Department of Mathematics, Myongji University, 116 Myongjiro, Yong-In 17058, Republic of Korea

Emergence of phase-locked states for the Winfree model in a large coupling regime

JOURNAL ARTICLE published 2015 in Discrete & Continuous Dynamical Systems - A

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 151-747 | Jinyeong Park | Sang Woo Ryoo | ,Department of Mathematical Sciences, Seoul National University, Seoul, 151-747

Calderón-Zygmund estimates for quasilinear elliptic double obstacle problems with variable exponent and logarithmic growth

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - B

Authors: Sun-Sig Byun | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | Yumi Cho | Shuang Liang | ,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Republic of Korea | ,Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China

Particle, kinetic and fluid models for phototaxis

JOURNAL ARTICLE published 2009 in Discrete & Continuous Dynamical Systems - B

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 151-747 | Doron Levy | ,Department of Mathematics and Center for Scientific Computation and Mathematical Modeling, University of Maryland, College Park, MD 20742

Lorentz-Morrey regularity for nonlinear elliptic problems with irregular obstacles over Reifenberg flat domains

JOURNAL ARTICLE published 2015 in Discrete & Continuous Dynamical Systems - A

Authors: Sun-Sig Byun | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 151-747 | Yumi Cho | ,School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722

Global well-posedness of critical nonlinear Schrödinger equations below $L^2$

JOURNAL ARTICLE published 2013 in Discrete & Continuous Dynamical Systems - A

Authors: Yonggeun Cho | ,Department of Mathematics, and Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 561-756 | Gyeongha Hwang | Tohru Ozawa | ,Department of Mathematical Sciences, Seoul National University, Seoul 151-747 | ,Department of Applied Physics, Waseda University, Tokyo 169-8555

Emergent collective behaviors of stochastic kuramoto oscillators

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - B

Authors: Seung-Yeal Ha | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 00826, Korea (Republic of) | Dongnam Ko | Chanho Min | Xiongtao Zhang | ,Korea Institute for Advanced Study, Hoegiro 85, Seoul 02455, Korea (Republic of) | ,DeustoTech, University of Deusto, and Facultad de Ingeniería, Universidad de Deusto, Avenida de las Universidades 24, Bilbao 48007, Basque Country, Spain | ,Department of Mathematical Sciences, Seoul National University, Seoul 00826, Korea (Republic of) | ,Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, Hubei Province, China

Emergent dynamics of the Kuramoto ensemble under the effect of inertia

JOURNAL ARTICLE published 2018 in Discrete & Continuous Dynamical Systems - A

Authors: Young-Pil Choi | ,Department of Mathematics and Institute of Applied Mathematics, Inha University, Incheon 22212, Korea | Seung-Yeal Ha | Javier Morales | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Korea | ,Korea Institute for Advanced Study, Hoegiro 87, Seoul 02455, Korea | ,Department of Mathematics, University of Maryland, College Park MD 20742-3289, USA

Quantitative oppenheim conjecture for $ S $-arithmetic quadratic forms of rank $ 3 $ and $ 4 $

JOURNAL ARTICLE published 2021 in Discrete & Continuous Dynamical Systems - A

Authors: Jiyoung Han | ,Research Institute of Mathematics, Seoul National University, GwanAkRo 1, Gwanak-Gu, Seoul, 08826, South Korea

Interplay of time-delay and velocity alignment in the Cucker-Smale model on a general digraph

JOURNAL ARTICLE published 2017 in Discrete & Continuous Dynamical Systems - B

Authors: Jiu-Gang Dong | ,Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China | Seung-Yeal Ha | Doheon Kim | ,Department of Mathematical Sciences and Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of Korea | ,School of Mathematics, Korea Institute for Advanced Study, Seoul 02455, Republic of Korea

Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period

JOURNAL ARTICLE published 2015 in Discrete & Continuous Dynamical Systems - B

Authors: Yuncherl Choi | ,Division of General Education, Kwangwoon University, Seoul, 139-701 | Jongmin Han | Chun-Hsiung Hsia | ,Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, 1 Hoegi-Dong, Dongdaemun-Gu, Seoul, 130-701 | ,Department of Mathematics and Taidar Institute of Mthematical Science, National Taiwan University, Taipei, 10617

Global well-posedness and long time behaviors of chemotaxis-fluid system modeling coral fertilization

JOURNAL ARTICLE published 2020 in Discrete & Continuous Dynamical Systems - A

Authors: Myeongju Chae | ,Department of Applied Mathematics and Institute for integrated Mathematical Sciences, Hankyong National University, Ansung, Korea | Kyungkeun Kang | Jihoon Lee | ,Department of Mathematics, Yonsei University, Seoul, Korea | ,Department of Mathematics, Chung-Ang University, Seoul, Korea

Uniform Strichartz estimates on the lattice

JOURNAL ARTICLE published 2019 in Discrete & Continuous Dynamical Systems - A

Authors: Younghun Hong | ,Department of Mathematics, Chung-Ang University, Seoul 06974, Republic of Korea | Changhun Yang | ,Korea Institute for Advanced Study, Seoul 20455, Korea | ,Institute of Pure and Applied Mathematics, Chonbuk National University, Jeonju 54896, Korea

Mass concentration for the $L^2$-critical nonlinear Schrödinger equations of higher orders

JOURNAL ARTICLE published 2011 in Discrete & Continuous Dynamical Systems - A

Authors: Myeongju Chae | ,Department of Applied Mathematics, Hankyong National University, Ansong 456-749 | Sunggeum Hong | Sanghyuk Lee | ,Department of Mathematics, Chosun University, Gwangju 501-759 | ,School of Mathematical Sciences, Seoul National University, Seoul 151-742

Homogenization of the boundary value for the Dirichlet problem

JOURNAL ARTICLE published 2019 in Discrete & Continuous Dynamical Systems - A

Authors: Sunghan Kim | ,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea | Ki-Ahm Lee | Henrik Shahgholian | ,Korea Institute for Advanced Study, Seoul 02455, Korea | ,Department of Mathematics, Royal Institute of Technology, 100 44 Stockholm, Sweden

Equidistribution with an error rate and Diophantine approximation over a local field of positive characteristic

JOURNAL ARTICLE published 2018 in Discrete & Continuous Dynamical Systems - A

Authors: Sanghoon Kwon | ,Center for Mathematical Challenges, Korea Institute For Advanced Study, Seoul 02455, Korea | Seonhee Lim | ,Department of Mathematical Sciences, Seoul National University, Seoul 08826, Korea