Preprint
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
Y.-P. Choi, D.-h. Kim, D. Koo, and E. Tadmor, Large-time behavior of damped pressureless Euler-Poisson equations with background states, arXiv:2506.07812
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, J. Kim, and O. Tse, Derivation of nonlinear aggregation-diffusion equation from a kinetic BGK-type equation, arXiv:2504.05674
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
Y.-P. Choi, M. Fabisiak, and J. Peszek, Alignment with nonlinear velocity couplings: collision-avoidance and micro-to-macro mean-field limits, arXiv:2409.10501
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
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., to appear.
T.-K. Chang and K. Kang, Singular velocity of the Stokes and Navier-Stokes equations near boundary in the half space, Nonlinear Analysis, to appear.
Y.-P. Choi, J. Jung, and Y. Lee, Global smooth solutions to the irrotational Euler-Riesz system in three dimensions, Trans. Amer. Math. Soc., 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
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.
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), no. 8, Paper 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.