Publications




Preprint

  1. Y.-P. Choi and C. Pignotti, Emergent behavior of Cucker-Smale model with normalized weights and distributed time delays, arXiv:1902.03819.
  2. J. A. Carrillo and Y.-P. Choi, Quantitative error estimates for the large friction limit of Vlasov equation with nonlocal forces, arXiv:1901.07204.
  3. Y.-P. Choi and J. Jung, Asymptotic analysis for Vlasov-Fokker-Planck/compressible Navier-Stokes equations with a density-dependent viscosity, arXiv:1901.01221.
  4. H. Kang and K. Yun, Quantitative analysis of field enhancement due to presence of an emitter in a bow-tie structure, arXiv:1811.01530.
  5. K. Ando, Y. Ji, H. Kang, D. Kawagoe and Y. Miyanishi, Spectral structure of the Neumann-Poincaré operator on tori, arXiv:1810.09693.
  6. H. Kang, X. Li, and S. Sakaguchi, Existence of coated inclusions of general shape weakly neutral to multiple fields in two dimensions, arXiv:1808.01096.
  7. Y.-P. Choi, D. Kalise, J. Peszek, and A. A. Peters, A collisionless singular Cucker-Smale model with decentralized formation control, arXiv:1807.05177.
  8. 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, arXiv:1806.04953.
  9. H. Kang and D. Kawagoe, Surface Riesz transforms and spectral property of elastic Neumann-Poincaé operators on less smooth domains in three dimensions, arXiv:1806.02026.
  10. 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.
  11. Y.-P. Choi and S.-B. Yun, Global existence of weak solutions for Navier-Stokes-BGK system, arXiv:1801.08283.
  12. H. Ammari, H. Lee and H. Zhang, High frequency homogenization of bubbly crystals, arXiv:1708.07955.
  13. H. Ammari, B. Fitzpatrick, H. Lee, S. Yu and H. Zhang, Double-negative acoustic metamaterials, arXiv:1709.08177.
  14. H. Kang and S. Yu, A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites, arXiv:1707.02205.
  15. Y.-P. Choi and J. Haskovec, Hydrodynamic Cucker-Smale model with normalized communication weights and time delay, arXiv:1707.05190.


Accepted

  1. K. Ando, H. Kang, Y. Miyanishi and E. Ushikoshi, The first Hadamard variation of Neumann-Poincaré eigenvalues on the sphere, Proc. Amer. Math. Soc, to appear.
  2. Y. Ji and H. Kang, A concavity condition for existence of a negative Neumann-Poincaré eigenvalue in three dimensions, Proc. Amer. Math. Soc., to appear.
  3. H. Kang and X. Li, Construction of weakly neutral inclusions of general shape by imperfect interfaces, SIAM J. Appl. Math., to appear.
  4. H. Kang and S. Yu, Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity, Arch. Ration. Mech. Anal., to appear.
  5. H. Kang and K. Yun, Optimal estimates of the field enhancement in presence of a bow-tie structure of perfectly conducting inclusions in two dimensions, J. Differential Equations, to appear.
  6. 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, to appear.
  7. K. Ando, H. Kang, Y. Miyanishi and E. Ushikoshi, The first Hadamard variation of Neumann-Poincaré eigenvalues on the sphere, Proc. Amer. Math. Soc, to appear.
  8. 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., to appear.


Published

  1. Y.-P. Choi and S. Salem, Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition, Kinet. Relat. Models, Vol. 12, No. 3, (2019), 573-592.
  2. Y.-P. Choi and S. Salem, Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos, J. Differential Equations, Vol. 266, No. 9, (2019), 6109-6148.
  3. 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., Vol. 365, No. 1, (2019), 329-361.
  4. Y.-P. Choi and Z. Li, Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings, Nonlinearity, Vol. 32, No. 2, (2019), 559-583.
  5. 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., Vol. 21, No. 1, (2019), 121-161.
  6. J. A. Carrillo, Y.-P. Choi, and L. Pareschi, Structure preserving schemes for the continuum Kuramoto model: phase transitions, J. Comput. Phys., Vol. 376, No. 1, (2019), 365-389.
  7. S. S. Yoo, W. K. Liu, and D. W. Kim, Variational Boundary Integral Approach for Asymmetric Impinging Jets of Arbitrary Two-dimensional Nozzle, Int. J. Numer. Methods Fluids, Vol. 88, (2018), 193-216.
  8. G. Albi, Y.-P. Choi, and A.-S. Häck, Pressureless Euler alignment system with control, Math. Models Methods Appl. Sci., Vol. 28, No. 09, (2018), 1635-1664.
  9. 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, Vol. 13, No. 3, (2018), 379-407.
  10. Y.-P. Choi, S.-Y. Ha, and J. Morales, Emergent dynamics of the Kuramoto ensemble under the effect of inertia, Discrete Contin. Dyn. Syst., Vol. 38, No. 10, (2018), 4875-4913.
  11. M. Campos Pinto, J. A. Carrillo, F. Charles, and Y.-P. Choi, Convergence of a linearly transformed particle method for aggregation equations, Numer. Math., Vol. 139, No. 4, (2018), 743-793.
  12. 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., Vol. 28, No. 06, (2018) 1037-1066.
  13. 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., Vo. 28, No. 2 (2018) 223-258.
  14. J. Jo, H.-K. Kim, and D. W. Kim, Electric Fields Computations Using Axial Green Function Method on Refined Axial Lines, IEEE Transactions on Magnetics, Vol. 54, Issue 3, (2017).