Publications

Most of recent preprints are available at arXiv. 

See also Google Scholar and MathSciNet.

• C. Carty, Y.-P. Choi, C. Cicolani, and C. Pignotti, Asymptotic synchronization of Kuramoto oscillators with time delay and non-universal interaction, preprint.

• Y.-P. Choi, H. Tang, and W. Zou, Enhanced dissipation and temporal decay in the Euler-Poisson-Navier-Stokes equations, preprint.

• Y.-P. Choi and J. Jung, Hölder continuous solutions to the kinetic Cucker-Smale model with super-Coulombic singular weights, preprint.

• Y.-P. Choi, J. Jung, and J. Kim, On well/ill-posedness for the generalized surface quasi-geostrophic equations in Hölder spaces, preprint.

• Y.-P. Choi and J. Jung, Incompressible Navier-Stokes limit from nonlinear Vlasov-Fokker-Planck equation, preprint.

• Y.-P. Choi, K. Kang, and W. Lee, Global existence and asymptotic stability for the Toner-Tu model of flocking, preprint.

• Y.-P. Choi, D.-H. Kim, D. Koo, and E. Tadmor, Critical thresholds in pressureless Euler-Poisson equations with background states, preprint.

• N. Chaudhuri, Y.-P. Choi, O. Tse, and E. Zatorska, Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming, preprint.

• Y.-P. Choi, S. Fagioli, and V. Iorio, Small inertia limit for coupled kinetic swarming models, preprint.

• Y.-P. Choi, J. Jung, and Y. Lee, The global Cauchy problem for the Euler-Riesz equations, preprint.

• Y.-P. Choi, I.-J. Jeong, and K. Kang, Global Cauchy problem for the Vlasov-Riesz-Fokker-Planck system near the global Maxwellian, preprint.

• Y.-P. Choi, B.-H. Hwang, and Y. Yoo, Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation, preprint.

• Y.-P. Choi, J. Jung, and Y. Lee, Damped Euler system with attractive Riesz interaction forces, preprint.

• H. Bae, Y.-P. Choi, and K. Kang, Well-posedness and asymptotic stability of solutions for the incompressible Toner-Tu model, preprint.

• Y.-P. Choi, D. Kalise, and A. A. Peters, Collisionless and decentralized formation control for strings, preprint.

• N. J. Alves, J. A. Carrillo, and Y.-P. Choi, Weak-strong uniqueness and high-friction limit for Euler-Riesz systems, Commun. Math. Anal. Appl., to appear.

• Y.-P. Choi and J. Jung, On weak solutions to the kinetic Cucker-Smale model with singular communication weights, Proc. Amer. Math. Soc., to appear.

• Y.-P. Choi, J. Jung, and J. Kim, A revisit to the pressureless Euler–Navier–Stokes system in the whole space and its optimal temporal decay, J. Differential Equations, 401, (2024), 231-281.

• Y.-P. Choi and I.-J. Jeong, Well-posedness and singularity formation for the Vlasov-Riesz system, Kinet. Relat. Models, 17, (2024), 489-513.

• Y.-P. Choi and J. Jung, Modulated energy estimates for singular kernels and their applications to asymptotic analyses for kinetic equations, SIAM J. Math. Anal., 56, (2024), 1525-1559.

• Y.-P. Choi and J. Jung, Local well-posedness for the compressible Navier-Stokes-BGK model in Sobolev spaces with exponential weight, Math. Models Methods Appl. Sci., 34, (2024), 285-344.

• Y.-P. Choi and J. Jung, Global well-posedness for the Euler-alignment system with singular communication weights in multi-dimensions, Nonlinear Anal. Real World Appl., 76, (2024), 104028.

• Y.-P. Choi and B.-H. Hwang, From BGK-alignment model to the pressured Euler-alignment system with singular communication weights, J. Differential Equations, 379, (2024), 363-412.

• Y.-P. Choi and B.-H. Hwang, Global existence of weak solutions to a BGK model relaxing to the barotropic Euler equations, Nonlinear Analysis, 238, (2024), 113414.

• Y.-P. Choi and J. Jung, On the dynamics of charged particles in an incompressible flow: from kinetic-fluid to fluid-fluid models, Commun. Contemp. Math., 25, 2250012, (2023).

• Y.-P. Choi and J. Jung, The pressureless damped Euler-Riesz equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 40, (2023), 593-630.

• Y.-P. Choi and J. Jung, Local well-posedness for the kinetic Cucker-Smale model with super-Coulombic communication weights, J. Differential Equations, 365, (2023), 807-832.

• Y.-P. Choi and J. Kim, Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker-Planck-alignment model, Math. Models Methods Appl. Sci., 33, (2023), 31-65.

• Y.-P. Choi, On the rigorous derivation of hydrodynamics of the Kuramoto model for synchronization phenomena, Partial Differ. Equ. Appl., 4, (2023), Article no. 2.

• Y.-P. Choi, H. Ju, and D. Koo, Convergence analysis of particle swarm optimization in one dimension, Appl. Math. Lett., 137, (2023), 108481.

• Y.-P. Choi and I.-J. Jeong, Global-in-time existence of weak solutions to Vlasov-Manev-Fokker-Planck system, Kinet. Relat. Models, 16, (2023), 41-53.

• J. Ahn, M. Chae, Y.-P. Choi, and J. Lee, Propagation of chaos in the nonlocal adhesion models for two cancer cell phenotypes, J. Nonlinear Sci., 32, (2022), Article no. 92.

• Y.-P. Choi and J. Jung, On regular solutions and singularity formation for Vlasov/Navier-Stokes equations with degenerate viscosities and vacuum, Kinet. Relat. Models, 15, (2022), 843-891.

• Y.-P. Choi and O. Tse, Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces, J. Differential Equations, 330, (2022), 150-207.

• Y.-P. Choi, D. Oh, and O. Tse, Controlled pattern formation of stochastic Cucker-Smale systems with network structures, Commun. Nonlinear Sci. Numer. Simul., 111, (2022), 106474.

• J. A. Carrillo, Y.-P. Choi, and Y. Peng, Large friction-high force fields limit for the nonlinear Vlasov-Poisson-Fokker-Planck system, Kinet. Relat. Models, 15, (2022), 355-384.

• W. Choi and Y.-P. Choi, A sharp error analysis for the discontinuous Galerkin method of optimal control problems, AIMS Math., 7, (2022), 9117-9155.

• Y.-P. Choi and I.-J. Jeong, On well-posedness and singularity formation for the Euler-Riesz system, J. Differential Equations, 306, (2022), 296-332.

• Y.-P. Choi and D. Koo, One dimensional consensus based algorithm for non-convex optimization, Appl. Math. Lett., 124, (2022), 107658.

• Y.-P. Choi, K. Kang, H. Kim, and J.-M. Kim, Temporal decays and asymptotic behaviors for a Vlasov equation with a flocking term coupled to incompressible fluid flow, Nonlinear Anal. Real World Appl., 63, (2022), 103410.

• Y.-P. Choi and I.-J. Jeong, Relaxation to the fractional porous medium equation from the Euler-Riesz system, J. Nonlinear Sci., 31, (2021), Article no. 95.

• Y.-P. Choi and J. Jung, On the Cauchy problem for the pressureless Euler-Navier-Stokes system in the whole space, J. Math. Fluid Mech., 23, (2021), Article no. 99.

• Y.-P. Choi and J. Jung, Asymptotic analysis for a Vlasov-Fokker-Planck/compressible Navier-Stokes system in a bounded domain, Math. Models Methods Appl. Sci., 31, (2021), 2213-2295.

• Y.-P. Choi, Large friction limit of pressureless Euler equations with nonlocal forces, J. Differential Equations, 299, (2021), 196-228.

• J. A. Carrillo and Y.-P. Choi, Mean-field limits: from particle descriptions to macroscopic equations, Arch. Ration. Mech. Anal., 241, (2021), 1529-1573.

• Y.-P. Choi and C. Pignotti, Exponential synchronization of Kuramoto oscillators with time delayed coupling, Commun. Math. Sci., 19, (2021), 1429-1445.

• Y.-P. Choi, S.-Y. Ha, Q. Xiao, and Y. Zhang, Asymptotic stability of the phase-homogeneous solution to the Kuramoto-Sakaguchi equation with inertia, SIAM J. Math. Anal., 53, (2021), 3188-3235.

• Y.-P. Choi and I.-J. Jeong, Classical solutions to the fractional porous medium flow, Nonlinear Anal., 210, (2021), 112393.

• Y.-P. Choi and S.-B. Yun, Existence and hydrodynamic limit for a Paveri-Fontana type kinetic traffic model, SIAM J. Math. Anal., 53, (2021), 2631-2659.

• Y.-P. Choi and J. Jung, On the large-time behavior of Euler-Poisson/Navier-Stokes equations, Appl. Math. Lett., 118, (2021), 107123.

• Y.-P. Choi and X. Zhang, One dimensional singular Cucker-Smale model: uniform-in-time mean-field limit and contractivity, J. Differential Equations, 287, (2021), 428-459.

• Y.-P. Choi, A. Paolucci, and C. Pignotti, Consensus of the Hegselmann-Krause opinion formation model with time delay, Math. Methods Appl. Sci., 44, (2021), 4560-4579.

• J. A. Carrillo, Y.-P. Choi, and J. Jung, Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces, Math. Models Methods Appl. Sci., 31, (2021), 327-408.

• Y.-P. Choi, J. Lee, and S.-B. Yun, Strong solutions to the inhomogeneous Navier-Stokes-BGK system, Nonlinear Anal. Real World Appl., 57, (2021), 103196.

• Y.-P. Choi and J. Lee, A hydrodynamic model for synchronization phenomena, Math. Models Methods Appl. Sci., 30, (2020), 2175-2227.

• Y.-P. Choi and S.-B. Yun, A BGK kinetic model with local velocity alignment forces, Netw. Heterog. Media, 15, (2020), 389-404.

• J. A. Carrillo and Y.-P. Choi, Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces, Ann. Inst. H. Poincaré Anal. Non Linéaire, 37, (2020), 925-954.

• Y.-P. Choi and J. Jung, Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity. Hyperbolic problems: theory, numerics, applications, 145-163, AIMS Ser. Appl. Math., 10, Am. Inst. Math. Sci. (AIMS), Springfield, MO, (2020).

• Y.-P. Choi and S.-B. Yun, Global existence of weak solutions for Navier-Stokes-BGK system, Nonlinearity, 33, (2020), 1925-1955.

• Y.-P. Choi, S.-Y. Ha, J. Jung, and J. Kim, On the coupling of kinetic thermomechanical Cucker-Smale equation and compressible viscous fluid system, J. Math. Fluid Mech., 22, (2020), Article no. 4.

• Y.-P. Choi, Uniform-in-time bound for kinetic flocking models, Appl. Math. Lett., 103, (2020), 106164.

• Y.-P. Choi, D. Kalise, J. Peszek, and A. A. Peters, A collisionless singular Cucker-Smale model with decentralized formation control, SIAM J. Appl. Dyn. Syst., 18, (2019), 1954-1981.

• Y.-P. Choi and C. Pignotti, Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays, Netw. Heterog. Media, 14, (2019), 789-804.

• Y.-P. Choi and J. Haskovec, Hydrodynamic Cucker-Smale model with normalized communication weights and time delay, SIAM J. Math. Anal., 51, (2019), 2660-2685.

• J. A. Carrillo, Y.-P. Choi, and S. Salem, Propagation of chaos for the Vlasov-Poisson-Fokker-Planck equation with a polynomial cut-off, Commun. Contemp. Math., 21, 1850039, (2019).

• Y.-P. Choi, S.-Y. Ha, J. Jung, and J. Kim, Global dynamics of the thermomechanical Cucker-Smale ensemble immersed in incompressible viscous fluid, Nonlinearity, 32, (2019), 1579-1640.

• Y.-P. Choi and S. Salem, Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition, Kinet. Relat. Models, 12, (2019), 573-592.

• Y.-P. Choi and S. Salem, Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos, J. Differential Equations, 266, (2019), 6109-6148.

• Y.-P. Choi, The global Cauchy problem for compressible Euler equations with a nonlocal dissipation, Math. Models Methods Appl. Sci., 29, (2019), 185-207.

• Y.-P. Choi and Z. Li, Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings, Nonlinearity, 32, (2019), 559-583.

• J. A. Carrillo, Y.-P. Choi, and O. Tse, Convergence to equilibrium in Wasserstein distance for damped Euler equations with interaction forces, Comm. Math. Phys., 365, (2019), 329-361.

• J. A. Carrillo, Y.-P. Choi, M. Hauray, and S. Salem, Mean-field limit for collective behavior models with sharp sensitivity regions, J. Eur. Math. Soc., 21, (2019), 121-161.

• J. A. Carrillo, Y.-P. Choi, and L. Pareschi, Structure preserving schemes for the continuum Kuramoto model: phase transitions, J. Comput. Phys., 376, (2019), 365-389.

• G. Albi, Y.-P. Choi, and A.-S. Häck, Pressureless Euler alignment system with control, Math. Models Methods Appl. Sci., 28, (2018), 1635-1664.

• Y.-P. Choi, S.-Y. Ha, and J. Morales, Emergent dynamics of the Kuramoto ensemble under the effect of inertia, Discrete Contin. Dyn. Syst., 38, (2018), 4875-4913.

• 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, Netw. Heterog. Media, 13, (2018), 379-407.

• M. Campos Pinto, J. A. Carrillo, F. Charles, and Y.-P. Choi, Convergence of a linearly transformed particle method for aggregation equations, Numer. Math., 139, (2018), 743-793.

• Y.-P. Choi and Z. Li, Emergent behavior of Cucker-Smale flocking particles with heterogeneous time delays, Appl. Math. Lett., 86, (2018), 49-56.

• J. A. Carrillo, Y.-P. Choi, C. Totzeck, and O. Tse, An analytical framework for a consensus-based global optimization method, Math. Models Methods Appl. Sci., 28, (2018), 1037-1066.

• Y.-P. Choi and S. Salem, Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones, Math. Models Methods Appl. Sci., 28, (2018), 223-258.

• Y.-P. Choi, Finite-time blow-up phenomena of Vlasov/Navier-Stokes equations and related systems, J. Math. Pures Appl., 108, (2017), 991-1021.

• G. Albi, Y.-P. Choi, M. Fornasier, and D. Kalise, Mean-field control hierarchy, Appl. Math. Optim., 76, (2017), 93-135.

• J. A. Carrillo, Y.-P. Choi, and S. Pérez, A review on attractive-repulsive hydrodynamics for consensus in collective behavior. Active particles. Vol. 1. Advances in theory, models, and applications, 259-298, Model. Simul. Sci. Eng. Technol., Birkhäuser/Springer, Cham, 2017.

• Y.-P. Choi, S.-Y. Ha, and Z. Li, Emergent dynamics of the Cucker-Smale flocking model and its variants. Active particles. Vol. 1. Advances in theory, models, and applications, 299-331, Model. Simul. Sci. Eng. Technol., Birkhäuser/Springer, Cham, 2017.

• J. A. Carrillo, Y.-P. Choi, P. B. Mucha, and J. Peszek, Sharp conditions to avoid collisions in singular Cucker-Smale interactions, Nonlinear Anal. Real World Appl., 37, (2017), 317-328.

• Y.-P. Choi and J. Haskovec, Cucker-Smale model with normalized communication weights and time delay, Kinet. Relat. Models, 10, (2017), 1011-1033.

• 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, Math. Models Methods Appl. Sci., 26, (2016), 2311-2340.

• Y.-P. Choi, Global classical solutions and large-time behavior of the two-phase fluid model, SIAM J. Math. Anal., 48, (2016), 3090-3122.

• Y.-P. Choi, Large-time behavior for the Vlasov/compressible Navier-Stokes equations, J. Math. Phys., 57, 071501, (2016).

• Y.-P. Choi, Global classical solutions of the Vlasov-Fokker-Planck equation with local alignment forces, Nonlinearity, 29, (2016), 1887-1916.

• H.-O. Bae, Y.-P. Choi, S.-Y. Ha, and M.-J. Kang, Global existence of strong solutions to the Cucker-Smale-Stokes system, J. Math. Fluid Mech., 18, (2016), 381-396.

• Y.-P. Choi and B. Kwon, The Cauchy problem for the pressureless Euler/isentropic Navier-Stokes equations, J. Differential Equations, 261, (2016), 654-711.

• J. A. Carrillo, Y.-P. Choi, and T. K. Karper, On the analysis of a coupled kinetic-fluid model with local alignment forces, Ann. Inst. H. Poincaré Anal. Non Linéaire, 33, (2016), 273-307.

• J. A. Carrillo, Y.-P. Choi, E. Tadmor, and C. Tan, Critical thresholds in 1D Euler equations with nonlocal forces, Math. Models Methods Appl. Sci., 26, (2016), 185-206.

• Y.-P. Choi and J. Lee, Global existence of weak and strong solutions to Cucker-Smale-Navier-Stokes equations in R2, Nonlinear Anal. Real World Appl., 27, (2016), 158-182.

• Y.-P. Choi and B. Kwon, Global well-posedness and large-time behavior for the inhomogeneous Vlasov-Navier-Stokes equations, Nonlinearity, 28, (2015), 3309-3336.

• Y.-P. Choi, S.-Y. Ha, S. Jung and M. Slemrod, Kuramoto oscillators with inertia: A fast-slow dynamical systems approach, Quart. Appl. Math., 73, (2015), 467-482.

• Y.-P. Choi, S.-Y. Ha, and S. E. Noh, Remarks on the nonlinear stability of the Kuramoto model with inertia, Quart. Appl. Math., 73, (2015), 391-399.

• Y.-P. Choi, Compressible Euler equations interacting with incompressible flow, Kinet. Relat. Models, 8, (2015), 335-358.

• 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, J. Differential Equations, 257, (2014), 2591-2621.

• 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, J. Differential Equations, 257, (2014), 2225-2255.

• J. A. Carrillo, Y.-P. Choi, and M. Hauray, Local well-posedness of the generalized Cucker-Smale model with singular kernels. MMCS, Mathematical modelling of complex systems, 17-35, ESAIM Proc. Surveys, 47, EDP Sci., Les Ulis, 2014.

• J. A. Carrillo, Y.-P. Choi, and M. Hauray, The derivation of swarming models: Mean-field limit and Wasserstein distances. Collective dynamics from bacteria to crowds, 1-46, CISM Courses and Lect., 553, Springer, Vienna, 2014.

• J. A. Carrillo, Y.-P. Choi, S.-Y. Ha, M.-J. Kang, and Y. Kim, Contractivity of transport distances for the kinetic Kuramoto equation, J. Stat. Phys., 156, (2014), 395-415.

• 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 Contin. Dyn. Syst., 34, (2014), 4419-4458.

• Y.-P. Choi and B. Kwon, Two-species flocking particles immersed in a fluid, Commun. Inf. Syst., 13, (2013), 123-149.

• 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, Netw. Heterog. Media, 8, (2013), 943-968.

• Y.-P. Choi, S.-Y. Ha, and S. E. Noh, On the relaxation dynamics of the Kuramoto oscillators with small inertia, J. Math. Phys., 54, 072701, (2013).

• Y.-P. Choi, S.-Y. Ha, M. Kang, and M. Kang, Exponential synchronization of finite-dimensional Kuramoto model at the critical coupling strength, Commun. Math. Sci., 11, (2013), 385-401.

• 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.

• Y.-P. Choi, S.-Y. Ha, S. Jung, and Y. Kim, Asymptotic formation and orbital stability of phase-locked states for the Kuramoto model, Phys. D, 241, (2012), 735-754.

• Y.-P. Choi, S.-Y. Ha, and S.-B. Yun, Complete synchronization of Kuramoto oscillators with finite inertia, Phys. D, 240, (2011), 32-44.

• Y.-P. Choi, S.-Y. Ha, A simple proof of the complete consensus of discrete-time dynamical networks with time-varying couplings, Int. J. Numer. Anal. Model. Ser. B, 1, (2010), 58-69.