Publications




Preprints

  1. Y. Ji and H. Kang, A concavity condition for existence of a negative Neumann-Poincaré eigenvalue in three dimensions, arXiv:1808.10621.
  2. H. Kang and K. Yun, Quantitative analysis of field enhancement due to presence of an emitter in a bow-tie structure.
  3. 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.
  4. Y.-P. Choi, D. Kalise, J. Peszek, and A. A. Peters, A collisionless singular Cucker-Smale model with decentralized formation control, arXiv:1807.05177.
  5. 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.
  6. 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.
  7. 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.
  8. H. Kang and X. Li, Construction of weakly neutral inclusions of general shape by imperfect interfaces, arXiv:1805.02215.
  9. Y.-P. Choi and S.-B. Yun, Global existence of weak solutions for Navier-Stokes-BGK system, arXiv:1801.08283.
  10. H. Ammari, H. Lee and H. Zhang, High frequency homogenization of bubbly crystals, arXiv:1708.07955.
  11. H. Ammari, B. Fitzpatrick, H. Lee, S. Yu and H. Zhang, Double-negative acoustic metamaterials, arXiv:1709.08177.
  12. Y.-P. Choi, S.-Y. Ha, J. Jung, and J. Kim, Global dynamics of the thermodynamic Cucker-Smale ensemble immersed in incompressible viscous fluid.
  13. H. Kang and S. Yu, A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites, arXiv:1707.02205.
  14. H. Kang and S. Yu, Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity, arXiv:1707.02207.
  15. 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, arXiv:1707.00098.
  16. Y.-P. Choi and J. Haskovec, Hydrodynamic Cucker-Smale model with normalized communication weights and time delay, arXiv:1707.05190.
  17. Y.-P. Choi and S. Salem, Collective behavior models with vision geometrical constraints: truncated noises and propagation of chaos, J. Differential Equations, to appear.
  18. Y.-P. Choi and S. Salem, Cucker-Smale flocking particles with multiplicative noises: stochastic mean-field limit and phase transition, Kinet. Relat. Models, to appear.
  19. Y.-P. Choi and Z. Li, Synchronization of nonuniform Kuramoto oscillators for power grids with general connectivity and dampings, Nonlinearity, to appear.
  20. 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., to appear.
  21. 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.
  22. 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., to appear.
  23. 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.


Journal Articles

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. Junhong Jo, Hong-Kyu Kim, and Do Wan Kim, Electric Fields Computations Using Axial Green Function Method on Refined Axial Lines, IEEE Transactions on Magnetics, Vol. 54, Issue 3, (2017).


Conference Papers & Book Chapters