Preprint
Y.-P. Choi, S. Lee, and S. Song, A modified Consensus-Based Optimization model: consensus formation and uniform-in-time propagation of chaos, arXiv:2511.19116
I.-J. Jeong and D. Lim, Support growth of vorticity for bi-rotational Euler flows in high dimensions, arXiv:2510.18335
K. Abe, J. Gómez-Serrano, and I.-J. Jeong, Homogeneous steady states for the generalized surface quasi-geostrophic equations, arXiv:2510.03009
I.-J. Jeong and S. Tae, Low regularity Sobolev well-posedness for Vlasov--Poisson, arXiv:2510.02112
K. Abe, K. Choi, I.-J. Jeong, Stability of Lamb dipoles for odd-symmetric and non-negative initial disturbances without the finite mass condition, arXiv:2510.00539
Y.-P. Choi and J. Jung, A unified relative entropy framework for macroscopic limits of Vlasov-Fokker-Planck equations, arXiv:2510.17455
J. A. Carrillo, Y.-P. Choi, D. Koo, and O. Tse, Exponential and algebraic decay in Euler-alignment system with nonlocal interaction forces, arXiv:2510.14123
Y.-P. Choi and S. Song, Global weak solutions to nonlinear kinetic Fokker-Planck equations in bounded domains under physical initial data, arXiv:2510.06656
S. Lee, Sharp local well-posedness of $C^1$ vortex patches, arxiv:2509.26046
Y.-P. Choi, H. Tang, and W. Zou, Global dynamics of damped Euler systems with exterior potentials, arXiv:2509.23538
I.-J. Jeong, L. Martinez-Zoroa, W. Ozanski, Instantaneous continuous loss of Sobolev regularity for the 3D incompressible Euler equation, arXiv:2508.06333
Y.-P. Choi, J. Jung, and A. Wróblewska-Kamińska, Coupled Vlasov and non-Newtonian fluid dynamics: existence and large-time behavior, arXiv:2508.15460
Y.-P. Choi, D. Koo, and S. Song, Hydrodynamic limit from kinetic models with massless electrons to the ionic Euler-Poisson system, arXiv:2508.08482
Y.-P. Choi, C. Cicolani, and C. Pignotti, Time-delayed opinion dynamics with leader-follower interactions: consensus, stability, and mean-field limits, arXiv:2508.08157
G. Albi, Y.-P. Choi, M. Piu, and S. Song, Micro-macro and macro-macro limits for controlled leader-follower systems, arXiv:2508.04020
K. Abe, I.-J. Jeong, and Y. Yao, Stability for multiple Lamb dipoles, arXiv:2507.16474
J. Kim and J. Shin Local well-posedness and asymptotic analysis of a nonlocal incompressible Navier--Stokes--Korteweg system, arXiv:2507.16295
I.-J. Jeong, Y. Yao, and T. Zhou, Superlinear gradient growth for 2D Euler equation without boundary, arXiv:2507.15739
S. Y. Cho, Y.-P. Choi, B.-H. Hwang, and S. Song, From kinetic mixtures to compressible two-phase flow: A BGK-type model and rigorous derivation, arXiv:2506.19321
K. Abe, I.-J. Jeong, F. Pasqualotto, and N. Sato, MHS equilibria in the non-resistive limit to the randomly forced resistive magnetic relaxation equations, arXiv:2506.08394
I.-J. Jeong, J. Kim, and H. Miura, Wellposedness of inviscid SQG in the half-plane, arXiv:2506.06601
K. Choi, K. Kang, and S. Ko, On the local well-posedness of strong solutions to the unsteady flows of shear-thinning non-Newtonian fluids with a concentration-dependent power-law index, arXiv:2505.05152
H. Bae , K. Kang, and J. Shin, On the double Beltrami states in Hall magnetohydrodynamics, arXiv:2504.07629
Y.-P. Choi, D. Koo, and S. Song, Global existence of Lagrangian solutions to the ionic Vlasov-Poisson system, arXiv:2501.13872
S. Hwang, K. Kang ,and H.-K. Kim, Existence of weak solutions for fast diffusion equation with a divergence type of drift term, arXiv:2501.09539
S. Hwang, K. Kang, H.-K. Kim, and J.-T. Park, Existence of weak solutions for nonlinear drift-diffusion equations with measure data, arXiv:2501.07847
Y. Lee, The 3D energy-critical inhomogeneous nonlinear Schrodinger equation with strong singularity, arXiv:2501.02697
K. Choi, I.-J. Jeong, Y. Yao, Stability of vortex quadrupoles with odd-odd symmetry, arXiv:2409.19822
K. Choi, K. Kang, and S. Ko, On the existence of strong solutions for unsteady motions of incompressible chemically reacting generalized Newtonian fluids, arXiv:2407.05628
K. Kang, H. Kim, and K.-T. Seo, Bounded weak solutions for Keller-Segel equations with generalized diffusion and logistic source via an unbalanced Optimal Transport splitting scheme, arXiv:2401.08188.
D. Kim, D. Koo, and G. Seo, A gradient flow for the Porous Medium Equations with Dirichlet boundary conditions, arXiv:2212.06092
Accepted
Y.-P. Choi, J. Kim, and O. Tse, Derivation of nonlinear aggregation-diffusion equation from a kinetic BGK-type equation, SIAM J. Math. Anal., to appear.
Y.-P. Choi, D.-h. Kim, D. Koo, and E. Tadmor, Critical thresholds in pressureless Euler-Poisson equations with background states, Ann. Inst. H. Poincaré Anal. Non Linéaire, to appear.
Y.-P. Choi and S. Song, Second-order swarming model: large-time behavior and uniform-in-time mean-field limit, EMS Ser. Congr. Rep., to appear.
Published
K. Choi, K. Kang, and S. Ko, On the Existence of Strong Solutions for Unsteady Motions of Incompressible Chemically Reacting Generalized Newtonian Fluids, Mathematical Models and Methods in Applied Sciences
Y.-P. Choi, J. Jung, and Y. Lee, Global smooth solutions to the irrotational Euler-Riesz system in three dimensions, Trans. Amer. Math. Soc., 379, (2026), 241-288.
T.-K. Chang and K. Kang, Singular velocity of the Stokes and Navier-Stokes equations near boundary in the half space, Nonlinear Analysis, 262, (2026), 113939.
Y.-P. Choi and J. Jung, Incompressible Euler limits from a nonlinear Vlasov-Fokker-Planck equation with constant temperature, Appl. Math. Lett., 172, (2026), 109721.
J. Kim and B. Moon, Finite difference time domain methods for the Chern-Simons-Schroindger equations, J. Comput. and Appl. Math., 473, (2026), 116851.
Y.-P. Choi, D.-h. Kim, D. Koo, and E. Tadmor, Large-time behavior of damped pressureless Euler-Poisson equations with background states, Phys. D, 483, (2025), 134979.
T.-K. Chang and K. Kang, Singular solutions near boundaries in a half space away from localized force for the Stokes and Navier-Stokes equations, J. Math. Fluid Mech., 27, (2025), Article no. 73.
Y.-P. Choi, M. Fabisiak, and J. Peszek, Alignment with nonlinear velocity couplings: collision-avoidance and micro-to-macro mean-field limits, SIAM J. Math. Anal., 57, (2025), 5791-5820.
K. Kang, J. Ahn and D. Kim , Global boundedness and blow-up in a repulsive chemotaxis-consumption system in higher dimensions, J. Differential Equations 443 (2025), 113503.
H. Bae, K. Kang, and J. Shin, On the regularity of magneto-vorticity field and the global existence for the Hall magnetohydrodynamic equations, Nonlinearity, 38, (2025), Article no. 085002.
D. Koo and S. Song, Global mild solutions to a BGK model for barotropic gas dynamics, SIAM J. Math. Anal., 57 (2025), 4137-4164.
Y.-P. Choi, B.-H. Hwang, and Y. Yoo, Global existence of weak solutions to the nonlinear Vlasov-Fokker-Planck equation, J. Differential Equations, 444, (2025), 113573.
Y.-P. Choi, J. Jung, and J. Kim, On well/ill-posedness for the generalized surface quasi-geostrophic equations in Hölder spaces, J. Differential Equations, 443, (2025), 113521.
K. Choi, I.-J. Jeong, and Y.-J. Sim, On Existence of Sadovskii Vortex Patch: A Touching Pair of Symmetric Counter-Rotating Uniform Vortices, Ann. PDE, 11, (2025), Article no. 18.
Y.-P. Choi, H. Tang, and W. Zou, Enhanced dissipation and temporal decay in the Euler-Poisson-Navier-Stokes equations, Nonlinear Anal. Real World Appl., 85, (2025), 104365.
Y.-P. Choi and J. Jung, Hölder continuous solutions to the kinetic Cucker-Smale model with super-Coulombic singular weights, Kinet. Relat. Models, 18, (2025), 787-799.
Y.-P. Choi, K. Kang, and W. Lee, Global existence and asymptotic stability for the Toner-Tu model of flocking, Commun. Pure Appl. Anal., 24, (2025), 1296-1321.
N. Chaudhuri, Y.-P. Choi, O. Tse, and E. Zatorska, Existence of weak solutions and long-time asymptotics for hydrodynamic model of swarming, J. Lond. Math. Soc. (2), 111, (2025), e70088.
Y.-P. Choi, S. Fagioli, and V. Iorio, Small inertia limit for coupled kinetic swarming models, J. Nonlinear Sci., 35, (2025), Article no. 39.
H. Bae, Y.-P. Choi, and K. Kang, Well-posedness and asymptotic stability of solutions for the incompressible Toner-Tu model, SIAM J. Math. Anal., 57, (2025), 637-660.
C. Carty, Y.-P. Choi, C. Cicolani, and C. Pignotti, Asymptotic synchronization of Kuramoto oscillators with time delay and non-universal interaction, Z. Angew. Math. Phys., (2025), 76:34
Y.-P. Choi, J. Jung, and Y. Lee, The global Cauchy problem for the Euer-Riesz equations, Nonlinear Anal., 253, (2025), 113724.
K. Kang, M. Růžička, Liouville type problem for the steady p-Stokes system in the half-space, J. Differential Equations, 414, (2025), 455-486.
K. Choi, I.-J. Jeong and D. Lim, On global regularity of some bi-rotational Euler flows, J. Differential Equations, 425 (2025), 627–660
D. Chae, I.-J. Jeong, J. Na, and S.-J. Oh, Well-Posedness for Ohkitani Model and Long-Time Existence for Surface Quasi-geostrophic Equations, Comm. Math. Phys., 406, (2025), 75.