Moon-Jin Kang (강문진)

Assistant professor 
Department of Mathematics
Sookmyung Women's University

Address: 100, Cheongpa-ro 47-gil, Yongsan-gu, Seoul, 04310, Korea
Office: 사회교육관 401호

  • Curriculum Vitae
  • Research Interests
  • I am interested in nonlinear PDEs arising in physics (Fluid dynamics; Kinetic theory; Hyperbolic conservation laws, especially shock waves), more precisely in existence, uniqueness, stability, 
    asymptotic analysis (hydrodynamic limit; inviscid limit),
    & applications of the optimal transport theory to PDEs, 
    & modeling issues in complex systems arising in biology, network, social science, etc.

  • Publications

  • Published Articles :

      [22] Contraction property for large perturbations of shocks of the barotropic Navier-Stokes system (with A. Vasseur), J. Eur. Math. Soc. (JEMS), To appear
      [21] A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment, (with A. Figalli), Analysis & PDE. 12, 843866 (2019)

      [20] From the Vlasov-Poisson equation with strong local alignment to the pressureless Euler-Poisson system, Appl. Math. Lett., 79, 85–91 (2018) 
      [19] Global well-posedness of spatially homogeneous Kolmogorov-Vicsek model as a gradient flow (with A. Figalli and J. Morales), Arch. Rational Mech. Anal.(ARMA)227, 869-896 (2018)
      [18] Non-contraction of intermediate admissible discontinuities for 3-D planar isentropic magnetohydrodynamics, Kinetic & Related Models, 11(1) 107-118 (2018)
      [17] $L^2$-contraction for shock waves of scalar viscous conservation laws (with A. Vasseur), Annales de l'Institut Henri Poincare (C) : Analyse non lineaire, 34(1), 139~156 (2017)
      [16] Existence and stability of planar shocks of viscous scalar conservation laws with space-periodic flux (with A.-L. Dalibard), J. Math. Pures Appl., 107(3), 336--366 (2017)
      [15] Criteria on contractions for entropic discontinuities of systems of conservation laws (with A. Vasseur), Arch. Rational Mech. Anal.(ARMA), 222, 343--391 (2016)
      [14] Global Weak Solutions for Kolmogorov–Vicsek Type Equations with Orientational Interactions (with I. M. Gamba), Arch. Rational Mech. Anal.(ARMA), 222, 317--342. (2016)
      [13] Global existence of strong solutions to the Cucker-Smale-Stokes system (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), J. Math. Fluid Mech., 18, 381--396 (2016), [pdf]
      [12] Dynamics of time elapsed inhomogeneous neuron network model (with B. Perthame and D. Salort), C. R. Math. Acad. Sci. Paris, 353, 1111-1115 (2015). [pdf]
      [11] Emergent dynamics for the hydrodynamic Cucker-Smale system in a moving domain (with S.-Y. Ha and B. Kwon), SIAM J. Math. Anal., 47(5), 3813--3831 (2015). [pdf]
      [10] Asymptotic analysis of Vlasov-type equations under strong local alignment regime (with A. Vasseur), Math. Mod. Meth. Appl. Sci.(M3AS), 25 (11), 2153--2173 (2015) [pdf]
      [9] A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid (with S.-Y. Ha and B. Kwon), Math. Mod. Meth. Appl. Sci.(M3AS), 24, 2311--2359 (2014) [pdf]
      [8] Contractivity of transport distances for the kinetic Kuramoto equation (with J. A. Carrillo, Y.-P. Choi, S.-Y. Ha and Y. Kim), J. Statistical Physics, 156, pp.395-415 (2014) [pdf]
      [7] Global existence of strong solution for the Cucker-Smale-Navier-Stokes system (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), J. Differential Equations, 257, pp. 2225--2255 (2014) [pdf]
      [6] Asymptotic flocking dynamics of Cucker-Smale particles immersed in compressible fluids (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), DCDS- Series A, 34, 11, pp.4419--4458 (2014) [pdf]
      [5] Fast and slow relaxations to bi-cluster configurations for the ensemble of Kuramoto oscillators (with S.-Y. Ha), Q. Appl. Math., 71, 707-728 (2013) [pdf]
      [4] A class of interacting particle systems on the infinite cylinder with flocking phenomena (with S.-Y. Ha, C. Lattanzio and B. Rubino), Math. Mod. Meth. Appl. Sci.(M3AS), 22, 125008 (2012) [pdf]
      [3] On the basin of attractors for the unidirectionally coupled Kuramoto model in a ring (with S.-Y. Ha)., SIAM J. Appl. Math. 72-5, pp. 1549-1574 (2012)[pdf]
      [2] Time-asymptotic interaction of flocking particles and an incompressible viscous fluid (with H.-O. Bae, Y.-P. Choi and S.-Y. Ha), Nonlinearity 24, 1155 (2012) [pdf]
      [1] Emergent behaviour of a generalized Viscek-type flocking model (with S.-Y. Ha and E. Jeong ), Nonlinearity, 23, 3139 (2010) [pdf]


      Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of Navier-Stokes systems (with A. Vasseur), 

      $L^2$-type contraction for shocks of scalar viscous conservation laws with strictly convex flux,

      Hydrodynamic limit of the kinetic thermomechanical Cucker-Smale model in a strong local alignment regime (with S.-Y. Ha, J. Kim, W. J. Shim), submitted

    • $L^2$ contraction for planar shock waves of multi-dimensional scalar viscous conservation laws (with A. Vasseur and Y. Wang),
      Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane (with J. Morales),