Publications

Books (학술도서)  

[1]  김영록, 정기룡, 한종민, 미분기하학,  경문사 (2018.04.20).  ISBN 979-11-6073-144-6.

Journal Papers (전문학술지 논문)

[60] (with Rejeb Hadiji and Juhee Sohn) Quantization effects for multi-component Ginzburg-Landau vortices, Submitted. (2018R1D1A1B07042681-6) 

[59] (with Yuncherl Choi, Taeyoung Ha, Sewoong Kim and Doo Seok Lee) Turing instability and dynamic bifurcation for the one dimensional Gray-Scott model, Submitted. (2018R1D1A1B07042681-6) 

[58] (with Yuncherl Choi, Taeyoung Ha, Young Rock Kim and Doo Seok Lee) Turing instability and dynamic transition for the general Brusselator model, Communications on Pure and Applied Analysis 23(5), (2024.05.01), 718-735. (2018R1D1A1B07042681-5) . (ISSN 1534-0392 Online 1553-5258).

[57] (with Kyungwoo Song) Topological multi-vortex solutions of the Maxwell-Chern-Simons-Higgs model with a background metric, Nonlinear Analysis 235(1) (2023.10.01), Article 113345, 1-21. (2018R1D1A1B07042681-5,6). (ISSN 0362-546X Online 1873-5215).

[56] (with Rejeb Hadiji and Juhee Sohn) On a system of multi-component Ginzburg-Landau vortices, Advances in Nonlinear Analysis 12(1) (2023.06.02), 20220315, 1-18.  (2018R1D1A1B07042681-4). (ISSN 2191-950X).

[55] (with Juhee Sohn) Ground state solutions of a Klein-Gordon-Maxwell system for two scalar fields,  Mathematical Methods in the Applied Sciences 40(9) (2023.06.01), 11112-11129.  (2018R1D1A1B07042681-3). (ISSN 0170-4214 Online 1099-1476).

[54] (with Hyungjin Huh and Sangdon Jin) Standing wave solutions to the Maxwell-Chern-Simons-Schrodinger equations, Calculus of Variations and Partial Differential Equations 62(2) (2023.03.01),  Article No. 57, 1-32. (2018R1D1A1B07042681-4). (ISSN 0944-2669 Online 1432-0835).

[53] (with Kyungwoo Song) Topological solutions for the self-dual equations of the generalized Maxwell-Chern-Simons-Higgs model, Journal of Mathematical Analysis and Applications 504(2) (2021.12.15), Article No. 125327, 1-12. (2018R1D1A1B07042681-3). (ISSN 0022-247X Online 1096-0813).

[52] (with Yuncherl Choi, Taeyoung Ha, Sewoong Kim and Doo Seok Lee) Turing instability and dynamic phase transition for the Brusselator model with multiple critical eigenvalues, Discrete and Continuous Dynamical Systems 41(9) (2021.09.01), 4255-4281. (2018R1D1A1B07042681-3). (ISSN 1078-0947 Online 1553-5231).

[51] (with Juhee Sohn and Yeong Seok Yoo) On semilocal Klein-Gordon-Maxwell equations, Journal of the Korean Mathematical Society 58 (2021.09.01), 1131-1145. (2018R1D1A1B07042681-2).  (ISSN 0304-9914 Online 2234-3008).

[50] (with Nari Choi) Bubbling solutions for the gravitational Maxwell gauged O(3) model in R^2, Nonlinear Analysis 206(1) (2021.05.01), Article No. 112257, 1-21. (2018R1D1A1B07042681-1). (ISSN 0362-546X Online 1873-5215).

[49] (with Youngae Lee and Juhee Sohn) Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces, Calculus of Variations and Partial Differential Equations 60(3) (2021.04.27),  Article No. 94, 1-24. [Correction: CVPDE 62 (2023), No.132, 1-7.](2018R1D1A1B07042681-2). (ISSN 0944-2669 Online 1432-0835). 

[48] (with Yuncherl Choi and Taeyoung Ha) Bifurcation analysis and the pattern selections of solutions to the modified Swift-Hohenberg equation, International Journal of Bifurcation and Chaos 31(11) (2020.09.15), Article No. 2030031, 1-31. (2015R1D1A1A01057499). (ISSN 0218-1274 Online 1793-6551).

[47] (with Kyungwoo Song) Condensate solutions of the self-dual O(3) Maxwell-Chern-Simons-Higgs equations with symmetric vacua, Calculus of Variations and Partial Differential Equations 58(4) (2019.08.01), Article No. 135, 1-20. (2018R1D1A1B07042681-1). (ISSN 0944-2669 Online 1432-0835).

[46] (with Juhee Sohn) Classification of string solutions for the self-dual Einstein-Maxwell-Higgs model, Annales Henri Poincaré 20(5) (2019.05.01), 1699-1751. [Erratum: Ann. H.P. 23 (2022), 2295-2298.] (2015R1D1A1A01057499). (ISSN 1424-0637 Online 1424-0661).

[45] (with Nari Choi) Existence of non-topological multi-string solutions for a gravitational O(3) gauge field model, Proceedings of the American Mathematical Society 147 (2019.04.01), 1429-1445. (2015R1D1A1A01057499). (ISSN 0002-9939 Online 1088-6826). 

[44] (with Juhee Sohn) Bubbling string solutions for the self-dual Einstein-Maxwell-Higgs equation, Journal of Mathematical Analysis and Applications 471(1&2) (2019.03.01), 728-751. (2015R1D1A1A01057499). (ISSN 0022-247X Online 1096-0813).

[43] (with Juhee Sohn) On the self-dual Einstein-Maxwell-Higgs equation on compact surfaces, Discrete and Continuous Dynamical Systems 39(2) (2019.02.01), 819-839. (2015R1D1A1A01057499). (ISSN 1078-0947 Online 1553-5231).

[42] (with Nari Choi) Classification of solutions of elliptic equations arising from a gravitational O(3) gauge field model, Journal of Differential Equations 264(8) (2018.04.15), 4944-4988.

[41] (with Juhee Sohn) Existence of topological multi-string solutions in Abelian gauge field theories, Journal of Mathematical Physics 58(11) (2017), Article No. 111511, 1-17. (Editor's Pick)

[40] (with Yuncherl Choi, Taeyoung Ha and Doo Seok Lee) Bifurcation and final patterns of a modified Swift-Hohenberg equation, Discrete and Continuous Dynamical Systems B 22(7) (2017), 2543-2567.

[39] (with Nari Choi) Remarks on nontopological solutions in self-dual Chern-Simons O(3) sigma models, Bulletin of the Korean Mathematical Society 53(3) (2016), 765-777.

[38] (with Kwangseok Choe, Youngae Lee and Chang-Shou Lin) Bubbling solutions for the Chern-Simons gauged O(3) sigma model on a torus, Calculus of Variations and Partial Differential Equations 54(2) (2015), 1275–1329.

[37] (with Yuncherl Choi and Chun-Hsiung Hsia) Bifurcation analysis of the damped Kuramoto-Sivashinsky equation with respect to the period, Discrete and Continuous Dynamical Systems B 20(7) (2015), 1933-1957.

[36](with Yuncherl Choi and  Jungho Park) Dynamical bifurcation of the generalized Swift-Hohenberg equation, International Journal of Bifurcation and Chaos 25(8) (2015), Article No. 1550095, 1-16.

[35] (with Kungwoo Song) Nontopological solutions in the self-dual Maxwell-Chern-Simons gauged O(3) sigma model, Nonlinear Analysis: Theory, Methods & Applications 118 (2015), 22-40.

[34] (with Yuncherl Choi) Dynamical bifurcation of the damped Kuramoto-Sivashinsky equation, Journal of Mathematical Analysis and Applications 421(1) (2015), 383-398.

[33] (with Kwangseok Choe and Chang-Shou Lin) Bubbling solutions for the Chern-Simons gauged O(3) sigma model in R^2, Discrete and Continuous Dynamical Systems A 34(7) (2014), 2703-2728.

[32] (with Chang-Shou Lin) Multiplicity for self-dual condensate solutions in the Maxwell-Chern-Simons O(3) sigma model, Communications in Partial Differential Equations 39(8) (2014), 1424-1450.

[31] (with Hyungjin Huh and Jinmyoung Seok) Chern-Simons limit of the standing wave solutions for the Schrodinger equations coupled with a neutral scalar field, Journal of Functional Analysis 266(1) (2014), 318-342

[30] (with Kwangseok Choe, Chang-Shou Lin and Tai-Chia Lin) Uniqueness and solution structure of nonlinear equations arising from the Chern-Simons gauged O(3) sigma models, Journal of Differential Equations 255(8) (2013), 2136-2166.

[29] (with Seongtag Kim) Maxwell-Chern-Simons vortices on compact surfaces: Nonequivalence of the first and the second order equations, Journal of Mathematical Physics 54 (2013), Article No. 023505, 1-15.

[28] (with Chun-Hsiung Hsia) Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition, Discrete and Continuous Dynamical Systems B 17 (2012), 2431-2449.

[27] (with Masoud Yari) Dynamic bifurcation of the periodic Swift-Hohenberg equation, Bulletin of the Korean Mathematical Society 49 (2012), 923-937. 

[26] (with Hyungjin Huh) Existence of topological solutions in the Maxwell gauged O(3) Sigma models, Journal of Mathematical Analysis and Applications 386 (2012), 61-74.

[25] (with Kungwoo Song) Existence and asymptotics of solutions for the Abelian Chern-Simons system with two Higgs fields and two gauge fields, Nonlinear Analysis: Theory, Methods & Applications 74 (2011), 7426-7436.

[24] (with Kwangseok Choe) Existence and properties of radial solutions in the self-dual Chern-Simons O(3) sigma model, Journal of Mathematical Physics 52 (2011), Article No. 082301, 1-20.

[23] (with Seongtag Kim) Self-dual Maxwell-Chern-Simons Theory on a cylinder, Journal of Physics A: Mathematical and Theoretical 44 (2011), Article No. 135203, 1-13.

[22] (with Kungwoo Song) Existence and asymptotics of topological solutions in the self-dual Maxwell-Chern-Simons O(3) sigma model, Journal of Differential Equations 250 (2011), 204-222.

[21] Quantization effects for Maxwell-Chern-Simons vortices, Journal of Mathematical Analysis and Applications 363 (2010), 265-274.

[20] (with Masoud Yari) Dynamic bifurcation of the complex Swift-Hohenberg equation, Discrete and Continuous Dynamical Systems B 11 (2009), 875-891.

[19] (with Kungwoo Song) On the Chern-Simons limit for a Maxwell-Chern-Simons model on bounded domains, Journal of Mathematical Analysis and Applications 350 (2009), 1-8.

[18] (with Jaeduck Jang) On the Chern-Simons-Higgs vortex equation without gauge fields, Nonlinear Analysis: Theory, Methods & Applications 69 (2008), 2950-2963.

[17] (with Hyungjin Huh) Self-dual vortices in a Maxwell-Chern-Simons model with non-minimal coupling, Letters in Mathematical Physics 82 (2007), 9-24.

[16] (with Kungwoo Song) Nonrelativistic limit in the self-dual Abelian Chern-Simons model, Journal of the Korean Mathematical Society 44 (2007), 997-1012.

[15] (with Namkwon Kim) Asymptotics of Maxwell-Chern-Simons vortices on the unit disc, Asymptotic Analysis 52 (2007), 207-225.

[14] (with Hee-Seok Nam) Asymptotic limits for the self-dual Chern-Simons CP(1) model, Communications of the Korean Mathematical Society 20 (2005), 579-588.

[13] (with Hee-Seok Nam) On the topological multivortex solutions of the self-dual Maxwell-Chern-Simons gauged O(3) sigma model, Letters in Mathematical Physics 73 (2005), 17-31.

[12] (with Jaeduck Jang) Nontopological bare solutions in the relativistic self-dual Maxwell-Chern-Simons-Higgs model, Journal of Mathematical Physics 46 (2005), Article No. 042310, 1-16.

[11] (with Namkwon Kim) Nonself-dual Chern-Simons and Maxwell-Chern-Simons vortices on bounded domains, Journal of Functional Analysis 221 (2005), 167-204. [Corrigendum: J. Funct. Anal. 242 (2007), 674]

[10] Radial symmetry of topological one-vortex solutions in the Maxwell-Chern-Simons-Higgs Model, Communications of the Korean Mathematical Society 19 (2004), 283-291.

[9] Topological solutions in the self-dual Chern-Simons-Higgs theory in a background metric, Letters in Mathematical Physics 65 (2003) 37-47.

[8] (with Jaeduck Jang) Self-dual Chern-Simons vortices on bounded domains, Letters in Mathematical Physics 64 (2003), 45-56.

[7]  Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model II, Proceedings of the American Mathematical Society 131 (2003), 3827-3832.

[6] Asymptotic limit for condensate solutions in the Abelian Chern-Simons Higgs model, Proceedings of the American Mathematical Society 131 (2003), 1839-1845.

[5]  Asymptotics for the vortex condensate solutions in Chern-Simons-Higgs theory, Asymptotic Analysis 28 (2001), 31-48.

[4] Existence of topological multivortex solutions in the self-dual gauge theories, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics 130 (2000), 1293-1309.

[3] (with Dongho Chae) Gevrey Class Regularity for the Time-Dependent Ginzburg-Landau Equations, Zeitschrift fur angewandte Mathematik und Physik 50 (1999), 244-257.

[2] (with Dongho Chae and Oleg Y. Imanuvilov) Existence and nonexistence in Chern-Simons-Higgs theory with a constant electric charge density, Journal of Mathematical Physics 40 (1999), 19-34.

[1] Asymptotics for solutions of the Ginzburg-Landau equations with Dirichlet boundary conditions, Journal of the Korean Mathematical Society 35 (1998), 1019-1043. 

Proceedings Papers (학술회의 논문)  

[4] Partial Differential Equations Arising from the Chern-Simons Gauged O(3) Sigma Model, in: Progress in Variational Problems: Variational Problems Interacting with Probability Theories, RIMS Kokyuroku No. 1837 (2013), Kyoto, pp. 29-43.

[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 in the self-dual and nonself-dual cases, in: Recent Advances in Elliptic and Parabolic Problems, World Scientific Publishing (2005), Singapore, pp. 137-151.