Research Area
Partial Differential Equations
List of Publications
| [35] | (with Song, Kyungwoo) Nontopological solutions in the self-dual Maxwell-Chern-Simons gauged O(3) sigma model, Nonlin. Anal. 118 (2015), 22-40. |
| [34] | (with Choi, Yuncherl) Dynamical bifurcation of the damped Kuramoto-Sivashinsky equation, J. Math. Anal. Appl. 421(1) (2015), 383-398. |
| [33] | (with Choe, Kwangseok; Lin, Chang-Shou) Bubbling solutions for the Chern-Simons gauged O(3) sigma model in R^2, Dis. Cont. Dyn. Syst. A 34(7) (2014), 2703-2728. |
| [32] | (with Lin, Chang-Shou) Multiplicity for self-dual condensate solutions in the Maxwell-Chern-Simons O(3) sigma model, Comm. PDE. 39(8) (2014), 1424-1450. |
| [31] | (with Huh, Hyungjin; Seok, Jinmyoung) Chern-Simons limit of the standing wave solutions for the Schrodinger equations coupled with a neutral scalar field, J. Funct. Anal. 266(1) (2014), 318-342. |
| [30] | (with Choe, Kwangseok; Lin, Chang-Shou; Lin, Tai-Chia) Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged O(3) sigma models, J. Diff. Eqns. 255(8) (2013), 2136-2166. |
| [29] | (with Kim, Seongtag) Maxwell-Chern-Simons vortices on compact surfaces: Nonequivalence of the first and the second order equations, J. Math. Phys. 54 (2013), Article No. 023505, 1-15. |
| [28] | (with Hsia, Chun-Hsiung) Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition, Dis. Cont. Dyn. Syst. B 17 (2012), 2431-2449. |
| [27] | (with Yari, Masoud) Dynamic bifurcation of the periodic Swift-Hohenberg equation, Bull. Korean Math. Soc. 49 (2012), 923-937. |
| [26] | (with Huh, Hyungjin) Existence of topological solutions in the Maxwell gauged O(3) Sigma models, J. Math. Anal. Appl. 386 (2012), 61-74. |
| [25] | (with Song, Kyungwoo) Existence and asymptotics of solutions for the Abelian Chern-Simons system with two Higgs fields and two gauge fields, Nonlin. Anal. TMA 250 (2011), 74 (2011), 7426-7436. |
| [24] | (with Choe, Kwangseok) Existence and properties of radial solutions in the self-dual Chern-Simons O(3) sigma model, J. Math. Phys. 52 (2011), Article No. 082301, 1-20. |
| [23] | (with Kim, Seongtag) Self-dual Maxwell-Chern-Simons Theory on a cylinder, J. Phys. A 44 (2011), Article No. 135203, 1-13. |
| [22] | (with Song, Kyungwoo) Existence and asymptotics of topological solutions in the self-dual Maxwell-Chern-Simons O(3) sigma model, J. Diff. Eqns. 250 (2011), 204-222. |
| [21] | Quantization effects for Maxwell-Chern-Simons vortices, J. Math. Anal. Appl., 363 (2010), 265-274. |
| [20] | (with Yari, Masoud) Dynamic bifurcation of the complex Swift-Hohenberg equation, Dis. Cont. Dyn. Syst. B 11 (2009), 875-891. |
| [19] | (with Song, Kyungwoo) On the Chern-Simons limit for a Maxwell-Chern-Simons model on bounded domains, J. Math. Anal. Appl. 350 (2009), 1-8. |
| [18] | (with Jang, Jaeduck) On the Chern-Simons-Higgs vortex equation without gauge fields, Nonlin. Anal. TMA 69 (2008), 2950-2963. |
| [17] | (with Huh, Hyungjin) Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling, Lett. Math. Phys. 82 (2007), 9-24. |
| [16] | (with Song, Kyungwoo) Nonrelativistic limit in the self-dual Abelian Chern-Simons model, J. Korean Math. Soc. 44 (2007), 997-1012. |
| [15] | (with Kim, Namkwon) Asymptotics of Maxwell-Chern-Simons vortices on the unit disc, Asymptotic Anal. 52 (2007), 207-225. |
| [14] | (with Nam, Hee-Seok) Asymptotic limits for the self-dual Chern-Simons CP(1) model, Comm. Korean Math. Soc. 20 (2005), 579-588. |
| [13] | (with Nam, Hee-Seok) On the topological multivortex solutions of the self-dual Maxwell-Chern-Simons gauged O(3) sigma model, Lett. Math. Phys. 73 (2005), 17-31. |
| [12] | (with Jang, Jaeduck) Nontopological bare solutions in the relativistic self-dual Maxwell-Chern-Simons-Higgs model, J. Math. Phys. 46 (2005), Article No. 042310, 1-16. |
| [11] | (with Kim, Namkwon) Nonself-dual Chern-Simons and Maxwell-Chern-Simons vortices on bounded domains, J. Func. Anal. 221 (2005), 167-204. |
| [10] | Radial symmetry of topological one-vortex solutions in the Maxwell-Chern-Simons-Higgs Model, Comm. Korean Math. Soc. 19 (2004), 283-291. |
| [9] | Topological solutions in the self-dual Chern-Simons-Higgs theory in a background metric, Lett. Math. Phys. 65 (2003) 37-47. |
| [8] | (with Jang, Jaeduck) Self-dual Chern-Simons vortices on bounded domains, Lett. Math. Phys. 64 (2003), 45-56. |
| [7] | Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model II, Proc. Amer. Math. Soc. 131 (2003), 3827-3832. |
| [6] | Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model, Proc. Amer. Math. Soc. 131 (2003), 1839-1845. |
| [5] | Asymptotics for the vortex condensate solutions in Chern-Simons-Higgs theory, Asymptotic Anal. 28 (2001), 31-48. |
| [4] | Existence of topological multivortex solutions in the self-dual gauge theories, Proc. Royal Soc. Edinburgh A 130 (2000), 1293-1309. |
| [3] | (with Chae, Dongho) Gevrey Class Regularity for the Time-Dependent Ginzburg-Landau Equations, Z. Angew. Math. Phys. 50 (1999), 244-257. |
| [2] | (with Chae, Dongho; Imanuvilov, Oleg Y.) Existence and nonexistence in Chern-Simons-Higgs theory with a constant electric charge density, J. Math. Phys. 40 (1999), 19-34. |
| [1] | Asymptotics for solutions of the Ginzburg-Landau equaitons with Dirichlet boundary conditions, J. Korean Math. Soc. 35 (1998), 1019-1043. |
| [3] | Asymptotic Problems for the Maxwell-Chern-Simons Vortices, in: Proceedings of the National Institute for Mathematical Sciences Vol. 1 No. 2, NIMS (2006), Daejeon, pp. 111-129. |
| [2] | Radial solutions in the relativistic self-dual Chern-Simons and Maxwell-Chern-Simons models, in: Proceedings of the 5th East Asia PDE Conference, Kakkotosho (2005), Tokyo, pp. 35-48. |
| [1] | (with Kim, Namkwon) Some Abelian gauge field theories inthe self-dual and nonself-dual cases, in: Recent Advances in Elliptic and Parabolic Problems, World Scientific Publishing (2005), Singapore, pp. 137-151. |