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), more precisely in existence, uniqueness, stability, asymptotic analysis (hydrodynamic limit, inviscid limit), & applications of the optimal transport theory to PDEs, & modeling issues in the complex systems arising in biology, ecology, social science, etc. Publications
Published Articles :[21] A rigorous derivation from the kinetic CukerSmale model to the pressureless Euler system with nonlocal alignment, (with A. Figalli), Analysis & PDE. ,To appear
[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) [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.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) [pdf]
[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]
Preprints:
Uniqueness of entropy shocks to the isentropic Euler system in a class of inviscid limits from a large family of NavierStokes systems (with A. Vasseur), In preparation Vanishing viscosity weak limit of the compressible NavierStokes system (with A. Vasseur), In preparation Contraction property for large perturbations of shocks of the barotropic NavierStokes systems (with A. Vasseur), https://arxiv.org/pdf/1712.07348.pdf $L^2$ contraction for planar shock waves of multidimensional scalar viscous conservation laws (with A. Vasseur and Y. Wang), http://arxiv.org/pdf/1609.01825.pdf Dynamics of a spatially homogeneous Vicsek model for oriented particles on the plane (with J. Morales), http://arxiv.org/pdf/1608.00185v1.pdf 
