Jaeseung Lee(이재승)


I am a postdoc in HYKE group at Seoul National University.


E-mail: jaeseunglee + At + snu.ac.kr

Education & Academic Degrees

• B.S. Mathematics, KAIST, February 2014

• Ph.D. Mathematics, Seoul National University, March 2014 - August 2018

      • Thesis title: Particle and kinetic descriptions of Kuramoto ensemble in the presence of adaptive couplings and noises

Click here for the slide file of my PhD defense.


Research

Kinetic theory, fluid mechanics, mathematical modelling of many-body systems


Publications & Preprints

Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators, (with Ha, S.-Y and Li, Z.) Netw. Heterog. Media 12, 1–24 (2017).

Emergent dynamics of Kuramoto oscillators with adaptive couplings: conservation law and fast learning, (with Ha, S.-Y, Li, Z. and Park, J.) SIAM J. Appl. Dyn. Syst. 17, 1560–1588 (2018).

Remarks on the stability properties of the Kuramoto-Sakaguchi-Fokker-Planck equation with frustration, (with Ha, S.-Y, Kim, D. and Zhang, Y.) Z. Angew. Math. Phys. 69 (2018).

Synchronous harmony in an ensemble of Hamiltonian mean-field oscillators and inertial Kuramoto oscillators, (with Ha, S.-Y and Li, Z.) Chaos 28, 113112 (2018)

Particle and Kinetic Models for Swarming Particles on a Sphere and Stability Properties (with Ha, S.-Y, Kim, D. and Noh, S. E.) J. Stat. Phys. (2018)

Emergence of aggregation in the swarm sphere model with adaptive coupling laws, (with Ha, S.-Y, Kim, D. and Noh, S. E.) Kinet. Relat. Models 12(2) 411-444 (2019)

• Robustness in the instability of the incoherent state to the frustrated Kuramoto-Sakaguchi-Fokker-Planck equation, (with Ha, S.-Y and Zhang, Y.) To appear in Quart. Appl. Math.

• Emergent dynamics of an orientation flocking model for multi-agent system, (with Ha, S.-Y, Kim, D. and Noh, S. E.) Submitted.

• Instability property of kinetic models for swarming particles on a sphere. (with Kim, D.) Preprint.

• On the dynamics of an ensemble of Hamiltonian mean-field oscillators and Kuramoto oscillators, (with Ha, S.-Y) Preprint.

• Stability property of homogeneous stationary solution for kinetic KM and HMF models, (with Ha, S.-Y) Preprint.

• On the global existence, critical thresholds and phase transition of Hydrodynamic Kuramoto model. (with Choi, Y.-P) Preprint.

• Global existence of inhomogeneous Navier-Stokes-BGK system, (with Choi, Y.-P, and Yun, S.) Preprint.



Collaborators: Young-Pil Choi, Seung-Yeal Ha, Doheon Kim, Dohyun Kim, Zhuchun Li, Se Eun Noh, Jinyeong Park, Seok-Bae Yun, Yinglong Zhang.


Talks

• December 13 - 15, 2018, The 3rd Meeting of Young Researchers in PDEs, KIAS, Seoul: "Emergent dynamics of Lohe-type self-alignment models".

• November 16, 2018, SKKU-SNU mini-WORKSHOP on Differential Equations, Sungkyunkwan University, Suwon: "Emergent dynamics of Lohe-type self-alignment models".

• November 8 - 10, 2018, A3 Project International Workshop on Soft matter, AMSS, Beijing: “Emergent dynamics of Lohe-type self alignment models”.

• October 3 - 6, 2018, Joint Meeting of KMS-DMV, Seoul, Korea: "Remarks on some continuum models with diffusion derived from the synchronous particle models".

• August 6 - 10, 2018, Modeling, Analysis, Optimization and Control of Multi-agent Systems, Harbin Institute of Technology, China : “Particle and kinetic description of Kuramoto ensemble in the presence of adaptive couplings and noises” .

• June 18, 2018, Seminar on particle and kinetic models describing collective behaviors, Hanyang University, Korea: “Remarks on the Fokker-Planck type equations derived from the synchronization particle models”.

• February 25 - March 2, 2018, Nonlinear PDEs and Related Topics, TSIMF, China :“Remarks on the stability and instability properties of mean-field equations with diffusion”.

• December 28, 2017, One day workshop on Mathematical Modelling of Swarming, Inha University, Korea : “Remarks on the stability and instability properties of mean-field equations with diffusion”.

• February 6 - 12, 2017, Stochastic homogenization and its applications, GSIS, Japan: “Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators”.

• November 27, 2015, The 18th SNU-HU Joint Symposium, Seoul National University, Korea :“Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators”.


Posters

• October 27 - 29, 2017, 2017 KMS Annual Meeting, Dankook University, Korea: “Emergent dynamics of Kuramoto oscillators with adaptive couplings: conservation law and fast learning”. Awarded Excellent Poster Prize.

• February 6 - 12, 2017, Stochastic homogenization and its applications, GSIS, Japan: “Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators”.

• November 27, 2015, The 18th SNU-HU Joint Symposium, Seoul National University, Korea :“Emergence of local synchronization in an ensemble of heterogeneous Kuramoto oscillators”.


conferences & workshops

• A3 Project International Workshop on Soft matter, AMSS, Beijing, November 8 - 10, 2018.

• Joint Meeting of KMS-DMV, Coex, Seoul, October 3 - 6, 2018.

• Modeling, Analysis, Optimization and Control of Multi-agent Systems, Harbin Institute of Technology, China, August 6 - August 10, 2018.

• Workshop on Nonlinear PDEs and Related Topics, TSIMF, China, February 26 -March 2, 2018.

• CMC conference: Nonlinear dynamics of many-body systems and related topics, KIAS, Seoul, Korea, August 21 - 24, 2017.

• CMC conference: Optimal transport and related topics, KIAS, Korea, July 31 - August 4, 2017.

• Intensive Lectures for Many-body systems, Seoul National University, Korea, July 25 - 27, 2017.

• Korea PDE Winter school, NIMS, Korea, January 16 - 20, 2017.

• CMC Workshop on Collective Dynamics of Many-Body Systems and Related Topics, Seoul National University, Korea, November 8 - 11, 2016.

• International Conference for the 70th Anniversary of Korean Mathematical Society, Seoul National University, Korea, October 20 - 23, 2016.

• The 7th Pacific RIM Conference on Mathematics 2016, Seoul National University, Korea, June 27 - July 1, 2016.

• Korea PDE Winter school, NIMS, Korea, February 9 - 13, 2015.

• International Congress of Mathematicians 2014, COEX, Korea, August 13 - 21, 2014.