Assistant professor
Department of Mathematics
Sookmyung Women's University
Address: 100, Cheongparo 47gil, Yongsangu, Seoul, 04310, Korea
Office: 사회교육관 401호
Email: moonjinkang81@gmail.com
Curriculum Vitae
Research Interests
I am interested in nonlinear PDEs arising in physics (Fluid dynamics; Kinetic theory; Hyperbolic conservation laws, especially shock waves, Euler equations, NavierStokes equations), more precisely in wellposed/illposed problems,
asymptotic analysis (hydrodynamic limit; inviscid limit),
& applications of optimal transport theory to PDEs,
& modeling issues in complex systems arising in biology, network, social science, etc.
Publications
Preprints: Uniqueness of a planar contact discontinuity for 3D compressible Euler system in a class of zero dissipation limits from NavierStokesFourier system (with A. Vasseur and Y. Wang), arXiv:2002.06412 Uniqueness and stability of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of NavierStokes systems (with A. Vasseur), arXiv:1902.01792
 $L^2$type contraction for shocks of scalar viscous conservation laws with strictly convex flux, arXiv:1901.02969
 Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane (with J. Morales), arXiv:1608.00185
Published/accepted Articles :
[29] Contraction property for large perturbations of shocks of the barotropic NavierStokes system (with A. Vasseur), J. Eur. Math. Soc. (JEMS), To appear
[28] Global smooth solutions for 1D barotropic NavierStokes equations with a large class of degenerate viscosities (with A. Vasseur), J. Nonlinear Sci., To appear
[27] Propagation of the monokinetic solution in the CuckerSmaletype kinetic equations (with J. Kim), Commun. Math. Sci. To appear
[26] Global wellposedness of large perturbations of traveling waves in a hyperbolicparabolic system arising from a chemotaxis model (with K. Choi, A. Vasseur), J. Math. Pures Appl., To appear
[25] Inviscid limit to the shock waves for the fractal Burgers equation (with S. Akopian, A. Vasseur), Commun. Math. Sci. To appear
[24] Contraction for large perturbations of traveling waves in a hyperbolicparabolic system arising from a chemotaxis model (with K. Choi, Y. Kwon, A. Vasseur), Math. Mod. Meth. Appl. Sci., To appear
[23] Hydrodynamic limit of the kinetic thermomechanical CuckerSmale model in a strong local alignment regime (with S.Y. Ha, J. Kim, W. J. Shim), Commun. Pure Appl. Anal., 19(3), 12331256 (2020) [pdf]
[22] $L^2$contraction for planar shock waves of multidimensional scalar viscous conservation laws (with A. Vasseur and Y. Wang), J. Differential Equations, 267, 27372791
(2019)
[21] A rigorous derivation from the kinetic CuckerSmale model to the pressureless Euler system with nonlocal alignment, (with A. Figalli), Analysis & PDE. 12, 843–866 (2019)
[20] From the VlasovPoisson equation with strong local alignment to the pressureless
EulerPoisson system, Appl. Math. Lett., 79, 85–91 (2018)
[19] Global wellposedness of spatially homogeneous KolmogorovVicsek model as a gradient flow (with A. Figalli and J. Morales), Arch. Rational Mech. Anal.(ARMA), 227, 869896 (2018)
[18] Noncontraction of intermediate admissible discontinuities for 3D planar isentropic magnetohydrodynamics, Kinetic & Related Models, 11(1) 107118 (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 spaceperiodic flux
(with A.L. Dalibard), J. Math. Pures Appl., 107(3), 336366 (2017)
[15] Criteria on contractions for entropic discontinuities of systems of conservation laws (with A. Vasseur),
Arch. Rational Mech. Anal.(ARMA), 222, 343391 (2016)
[14] Global Weak Solutions for Kolmogorov–Vicsek Type Equations with Orientational Interactions (with I. M. Gamba),
Arch. Rational Mech. Anal.(ARMA), 222, 317342. (2016)
[13] Global existence of strong solutions to the CuckerSmaleStokes system (with H.O. Bae, Y.P. Choi and S.Y. Ha), J. Math. Fluid Mech., 18, 381396 (2016), [pdf]
[12] Dynamics of time elapsed inhomogeneous neuron network model (with B. Perthame and D. Salort), C. R. Math. Acad. Sci. Paris, 353, 11111115 (2015). [pdf]
[11] Emergent dynamics for the hydrodynamic CuckerSmale system in a moving domain (with S.Y. Ha and B. Kwon), SIAM J. Math. Anal., 47(5), 38133831 (2015). [pdf]
[10] Asymptotic analysis of Vlasovtype equations under strong local alignment regime (with A. Vasseur), Math. Mod. Meth. Appl. Sci.(M3AS), 25 (11), 21532173 (2015) [pdf]
[9] A hydrodynamic model for the interaction of CuckerSmale particles and incompressible fluid (with S.Y. Ha and B. Kwon),
Math. Mod. Meth. Appl. Sci.(M3AS), 24, 23112359 (2014)
[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.395415 (2014) [pdf]
[7] Global existence of strong solution for the CuckerSmaleNavierStokes system (with H.O. Bae, Y.P. Choi and S.Y. Ha),
J. Differential Equations, 257, pp. 22252255 (2014)
[6] Asymptotic flocking dynamics of CuckerSmale particles immersed in compressible fluids (with H.O. Bae, Y.P. Choi and S.Y. Ha), DCDS Series A, 34, 11, pp.44194458 (2014) [pdf]
[5] Fast and slow relaxations to bicluster configurations for the ensemble of Kuramoto oscillators (with S.Y. Ha),
Q. Appl. Math., 71, 707728 (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. 725, pp. 15491574 (2012)[pdf]
[2] Timeasymptotic 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 Viscektype flocking model (with S.Y. Ha and E. Jeong ), Nonlinearity, 23, 3139 (2010)
[pdf]

