Publications




Articles in Refereed Journals

  1. Y.-P. Choi, S.-Y. Ha, and J. Morales, Emergent dynamics of the Kuramoto ensemble under the effect of inertia, preprint.
  2. Y.-P. Choi and J. Haskovec, Hydrodynamic Cucker-Smale model with normalized communication weights and time delay, preprint.
  3. Y.-P. Choi and S. Salem, Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos, preprint.
  4. J. A. Carrillo, Y.-P. Choi, C. Totzeck, and O. Tse, An analytical framework for a consensus-based global optimization method, preprint.
  5. Y.-P. Choi and Z. Li, On the region of attraction of phase-locked states for swing equations on connected graphs with inhomogeneous damping, preprint.
  6. M. Campos Pinto, J. A. Carrillo, F. Charles, and Y.-P. Choi, Convergence of a linearly transformed particle method for aggregation equations, preprint.
  7. Y.-P. Choi, S.-Y. Ha, and J. Kim, Propagation of regularity and finite-time collisions for the thermomechanical Cucker-Smale model with a singular communication, Networks and Heterogeneous Media, to appear.
  8. Y.-P. Choi and S. Salem, Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones, Mathematical Models and Methods in Applied Sciences, to appear.
  9. J. A. Carrillo, Y.-P. Choi, M. Hauray, and S. Salem, Mean-field limit for collective behavior models with sharp sensitivity regions, Journal of the European Mathematical Society, to appear.
  10. Y.-P. Choi, Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and related systems, Journal de Mathématiques Pures et Appliquées, to appear.
  11. J. A. Carrillo, Y.-P. Choi, P. B. Mucha, and J. Peszek, Sharp conditions to avoid collisions in singular Cucker-Smale interactions, Nonlinear Analysis: Real World Applications, Vol. 37, (2017), 317-328.
  12. Y.-P. Choi and J. Haskovec, Cucker-Smale model with normalized communication weights and time delay, Kinetic and Related Models, Vol. 10, No. 4, (2017), 1011-1033.
  13. J. A. Carrillo, Y.-P. Choi, and E. Zatorska, On the pressureless damped Euler-Poisson equations with quadratic confinement: critical thresholds and large-time behavior, Mathematical Models and Methods in Applied Sciences, Vol. 26, No. 12, (2016), 2311-2340.
  14. Y.-P. Choi, Global classical solutions and large-time behavior of the two-phase fluid model, SIAM Journal on Mathematical Analysis, Vol. 48, No. 5, (2016), 3090-3122.
  15. Y.-P. Choi, Large-time behavior for the Vlasov/compressible Navier-Stokes equations, Journal of Mathematical Physics, Vol. 57, No. 7, 071501, (2016).
  16. Y.-P. Choi, Global classical solutions of the Vlasov-Fokker-Planck equation with local alignment forces, Nonlinearity, Vol. 29, No. 7, (2016), 1887-1916.
  17. H.-O. Bae, Y.-P. Choi, S.-Y. Ha, and M.-J. Kang, Global existence of strong solutions to the Cucker-Smale-Stokes system, Journal of Mathematical Fluid Mechanics, Vol. 18, No. 2, (2016), 381-396.
  18. Y.-P. Choi and B. Kwon, The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations, Journal of Differential Equations, Vol. 261, No. 1, (2016), 654-711.
  19. J. A. Carrillo, Y.-P. Choi, and T. K. Karper, On the analysis of a coupled kinetic-fluid model with local alignment forces, Annales de I'Institut Henri Poincaré (C) Analyse Non Linéaire, Vol. 33, No. 2, (2016), 273-307.
  20. J. A. Carrillo, Y.-P. Choi, E. Tadmor, and C. Tan, Critical thresholds in 1D Euler equations with nonlocal forces, Mathematical Models and Methods in Applied Sciences, Vol. 26, No. 2, (2016), 185-206.
  21. Y.-P. Choi and J. Lee, Global existence of weak and strong solutions to Cucker-Smale-Navier-Stokes equations in R2, Nonlinear Analysis: Real World Applications, Vol. 27, (2016), 158-182.
  22. Y.-P. Choi and B. Kwon, Global well-posedness and large-time behavior for the inhomogeneous Vlasov-Navier-Stokes equations, Nonlinearity, Vol. 28, No. 9, (2015), 3309-3336.
  23. Y.-P. Choi, S.-Y. Ha, S. Jung and M. Slemrod, Kuramoto oscillators with inertia: A fast-slow dynamical systems approach, Quarterly of Applied Mathematics, Vol. 73, No. 3, (2015), 467-482.
  24. Y.-P. Choi, S.-Y. Ha, and S. E. Noh, Remarks on the nonlinear stability of the Kuramoto model with inertia, Quarterly of Applied Mathematics, Vol. 73, No. 2, (2015), 391-399.
  25. Y.-P. Choi, Compressible Euler equations interacting with incompressible flow, Kinetic and Related Models, Vol. 8, No. 2, (2015), 335-358.
  26. Y.-P. Choi, S.-Y. Ha, Z. Li, X. Xue, and S.-B. Yun, Complete entrainment of Kuramoto oscillators with inertia on networks via gradient-like flow, Journal of Differential Equations, Vol. 257, No. 7, (2014), 2591-2621.
  27. H.-O. Bae, Y.-P. Choi, S.-Y. Ha, and M.-J. Kang, Global existence of strong solution for the Cucker-Smale-Navier-Stokes system, Journal of Differential Equations, Vol. 257, No. 6, (2014), 2225-2255.
  28. J. A. Carrillo, Y.-P. Choi, S.-Y. Ha, M.-J. Kang, and Y. Kim, Contractivity of transport distances for the kinetic Kuramoto equation, Journal of Statistical Physics, Vol. 156, No. 2, (2014), 395-415.
  29. H.-O. Bae, Y.-P. Choi, S.-Y. Ha, and M.-J. Kang, Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids, Discrete and Continuous Dynamical System -A, Vol. 34, No. 11, (2014), 4419-4458.
  30. Y.-P. Choi, S.-Y. Ha, and S.-B. Yun, Global existence and asymptotic behavior of measure valued solutions to the kinetic Kuramoto-Daido model with inertia, Networks and Heterogeneous Media, Vol. 8, No. 4, (2013), 943-968.
  31. Y.-P. Choi, S.-Y. Ha, and S. E. Noh, On the relaxation dynamics of the Kuramoto oscillators with small inertia, Journal of Mathematical Physics, Vol. 54, 072701, (2013).
  32. Y.-P. Choi, S.-Y. Ha, M. Kang, and M. Kang, Exponential synchronization of finite-dimensional Kuramoto model at the critical coupling strength, Communications in Mathematical Sciences, Vol. 11, No. 2, (2013), 385-401.
  33. H.-O. Bae, Y.-P. Choi, S.-Y. Ha, and M.-J. Kang, Time-asymptotic interaction of flocking particles and incompressible viscous fluid, Nonlinearity, 25, (2012), 1155-1177.
  34. Y.-P. Choi, S.-Y. Ha, S. Jung, and Y. Kim, Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model, Physica D, 241, (2012), 735-754.
  35. Y.-P. Choi, S.-Y. Ha, and S.-B. Yun, Complete synchronization of Kuramoto oscillators with finite inertia, Physica D, 240, (2011), 32-44.
  36. Y.-P. Choi, S.-Y. Ha, A simple proof of the complete consensus of discrete-time dynamical networks with time-varying couplings, International Journal of Numerical Analysis and Modeling-B, Vol. 1, No. 1, (2010), 58-69.

Refereed Proceedings and Book Chapters

  1. G. Albi, Y.-P. Choi, M. Fornasier, and D. Kalise, Mean-field control hierarchy, Applied Mathematics & Optimization, Vol. 76, No. 1, (2017), 93-135.
  2. J. A. Carrillo,Y.-P. Choi, and S.Pérez, A review on attractive-repulsive hydrodynamics for consensus in collective behavior, in N. Bellomo, P. Degond, and E. Tadmor (Eds.), Active Particles Vol.I: Advances in Theory, Models, and Applications, Series: Modelling and Simulation in Science and Technology, Birkhäuser Basel, (2017), 259-298.
  3. Y.-P. Choi, S.-Y. Ha, and Z. Li, Emergent dynamics of the Cucker-Smale flocking model and its variants, in N. Bellomo, P. Degond, and E. Tadmor (Eds.), Active Particles Vol.I: Advances in Theory, Models, and Applications, Series: Modelling and Simulation in Science and Technology, Birkhäuser Basel, (2017), 299-331.
  4. J. A. Carrillo, Y.-P. Choi, and M. Hauray, Local well-posedness of the generalized Cucker-Smale model with singular kernels, ESAIM Proceedings & Surveys, Vol. 47, (2014), 17-35.
  5. J. A. Carrillo, Y.-P. Choi, and M. Hauray, The derivation of swarming models: Mean-field limit and Wasserstein distances, in Muntean, A., Toschi, F. (Eds.), Collective Dynamics from Bacteria to Crowds: An Excursion Through Modeling, Analysis and Simulation, Series: CISM International Centre for Mechanical Sciences, Vol. 533, Springer-Verlag Wien, (2014), 1-46.
  6. Y.-P. Choi and B. Kwon, Two-species flocking particles immersed in a fluid, Communications in Information and System(In Honor of Marshall Slemrod's 70th Birthday), Vol. 13, No. 2, (2013), 123-149.

Thesis


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