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 complex systems arising in biology, network, social science, etc. Publications
Published Articles :[22] Contraction property for large perturbations of shocks of the barotropic NavierStokes system (with A. Vasseur), J. Eur. Math. Soc. (JEMS), To appear [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) [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 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), https://arxiv.org/pdf/1902.01792.pdf
$L^2$type contraction for shocks of scalar viscous conservation laws with strictly convex flux, https://arxiv.org/pdf/1901.02969.pdf Hydrodynamic limit of the kinetic thermomechanical CuckerSmale 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 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

