**Publication **

32. (with J. Seok) Equivalence and
nonexistence of standing waves for coupled Schrodinger equations with Chern-Simons gauge fields, appear in TMNA.

31. Global energy
solutions of Chern-Simons-Higgs equations in one
space dimension, J. Math. Anal. Appl. 420 (2014), issue
1, 781-791.

30. Remarks on Chern-Simons-Dirac equations in one space dimension, Lett. Math. Phys,
104 (2014), Issue 8, 991-1001.

29. On the growth rate of
solutions to Gross-Neveu and Thirring
equations, Commun. Korean Math. Soc. 29 (2014), no.
2, 263-267.

28. (with J. Han and J. Seok) Chern-Simons limit of the
standing wave solutions for the Schrodinger equations coupled with a neutral
scalar field, J. Funct. Anal.
266 (2014), issue 1, 318-342.

27. Reduction of Chern-Simons-Schrodinger
systems in one space dimension, Journal of Applied Mathematics, vol. 2013,
Article ID 631089, 4 pages, 2013.

26. Global strong solutions to some nonlinear Dirac
equations in super-critical space, Abstract and Applied Analysis. vol. 2013,
Article ID 602753, 8 pages

25. Global solutions to Gross-Neveu
equations, Lett. Math. Phys.
103 (2013), 927-931.

24. Global solutions of the exponential wave equation
with small initial data, Bulletin of Korea Math. Soc. 50 (2013), no. 3,
811-821.

23. Energy solution of the Chern-Simons-Schrodinger
equations, Abstract and Applied Analysis, vol. 2013 (2013), Article ID 590653,
7 pages.

22 (with J. Seok) The equivalence of the Chern-Simons-Schrodinger
equations and its self-dual system, J. Math. Phys. 54 (2013), 021502 (5 pages)

21. Nonexistence results of semilinear
elliptic equations coupled with the Chern-Simons
gauge field, Abstract and Applied Analysis, vol. 2013 (2013), Article ID 467985,
5 pages.

20. (with H. Lee) Global
existence and nonrelativistic limit for the Vlasov
Maxwell Chern Simons system, J. Math. Phys. 53
(2012), 103306 (26 pages)

19. (with J. Byeon and J. Seok), Standing waves of the Schrodinger equations with
gauge field. J. Funct. Anal.
263 (2012), 1575-1608.

18. Standing waves of the Schrodinger equation coupled
with the Chern-Simons gauge field, J. Math. Phys. 53 (2012), 063702 (8 pages).

17. (with J. Han) Existence of
topological solutions in the Maxwell gauged O(3) Sigma models, J. Math. Anal. Appl. 386 (2012), 61-74.

16 Global strong solution to the
Thirring model in critical space, J. Math. Anal. Appl. 381 (2011), 513-520.

15. Towards the Chern-Simons-Higgs
equation with finite energy, Discrete Contin. Dyn. Syst.
30 (2011), 1145-1159.

14. Global charge solutions of Maxwell-Dirac equations in , J. Phys. A:
Math. Theor. 43 (2010) 445206, 7 pages

13. Global solutions and asymptotic behaviors of the Chern-Simons-Dirac equations in , J. Math. Anal. Appl. 366 (2010), 706-713.

12. The Cauchy problem for Chern-Simons-Proca-Higgs equations, Lett. Math. Phys. 91 (2010. 02), 29-44.

11. (with M. Chae)
Semi-nonrelativistic limit of the Chern-Simons-Higgs
system, J. Math. Phys. 50 (2009), 072303 (19 pages).

10. Blow-up solutions of the Chern-Simons-Schrodinger
equations, Nonlinearity 22 (2009), 967-974.

9. Blow-up solutions of modified Schrodinger maps, Comm.
Partial Differential Equations 33 (2008), 235-243.

8. Asymptotic properties of the massive scalar field in
the external Schwarzschild spacetime, J. Geom. Phys.
58 (2008. 01), 55-63.

7. (with J. Han) Self-dual
vortices in a Maxwell-Chern-Simons model with
non-minimal coupling, Lett. Math.
Phys. 82 (2007. 10), 9-24.

6. Cauchy problem for the fermion field equation coupled
with the Chern-Simons gauge, Lett.
Math. Phys. 79 (2007. 01), 75-94.

5. Local and global solutions of the Chern-Simons-Higgs
system, J. Funct. Anal. 242
(2007. 01), 526-549.

4. (with M. Chae
and S. Ha) Remarks on the repulsive Wigner-Poisson system, J. Math. Phys. 46 (2005), 112103 (pp 16).

3. Low Regularity Solutions of the Chern-Simons-Higgs
Equations, Nonlinearity, 18 (2005), 2581-2589.

2. Cauchy Problems of the Gauged Sigma Model,
J. Math. Phys., 46 (2005), 052303.

1. (with D. Chae)
Global existence for small initial data in the Born-Infeld
equations, J. Math. Phys., 44 (2003), 6132-6139.

**Submitted**

(with S.-J. Oh) Low regularity
solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge

(with J. Byeon and J. Seok), On standing waves with a vortex point of order N for
the nonlinear Chern-Simons-Schrodinger equations

(with J. Yim), Global solutions to
space-time monopole equations in one space dimension

(with B. Moon) Low regularity well-posedness
for Gross-Neveu equations

**Preprint**

Maximal surface system related with Born-Infeld
equations.