Jaeseung Lee(이재승)


Postdoc at Seoul National University


E-mail: jaeseunglee@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
      • Thesis advisor: Prof. Seung Yeal Ha


Research areas

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


Publications

• 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. 69–94 (2018).

• Particle and kinetic models for swarming particles on a sphere and their stability properties, (with Ha, S.-Y, Kim, D. and Noh, S. E.) To appear in J. Statistical Physics.

• Emergence of aggregation in the swarm sphere model with adaptive coupling laws, (with Ha, S.-Y, Kim, D. and Noh, S. E.) To appear in Kinet. Relat. Models

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

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

• 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 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.


Talks

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

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

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

• 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”.

• August 6 - August 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” .


Posters

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

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

• 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.


Attended conferences & workshops

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

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

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

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

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

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

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

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

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

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

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