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곽민규 이미지
성명
곽민규 교수
연구실
자연대 1호관 406호
교수전공 및 연구분야
편미분방정식
연락처
(062)530-3340
이메일
mkkwak@jnu.ac.kr
홈페이지
 
Academic Career

1979. 03 - 1983. 02  B.S Seoul National University


 
1983. 03 - 1985. 02  M.S  Seoul National University
 
1986. 08 - 1991. 06  Ph. D Unversity of Minnesota
 
1991. 07 - 1991. 08  T.A & R.A University of Indiana Scientific Consultant
 
1991. 08 - 1993. 09  full-time lecturer Chonnam National University
 
1993. 10 - 1995. 09  assistant professor Chonnam National University
 
1995. 10 - 1997. 09  associate professor Chonnam National University
 
1997. 10 - present professor Chonnam National University
 
Member of Korean Mathematical society, American Mathemarical Society
 
Research Interests

Partial Differential Equation, Ordinatry Differential Equation, Dynamical System

Current Interested Area

Global regularity problem of 3D Navier-Stokes equations (paper 18 and 19)


 
Existence Proof of Inertial Manifolds fo Navier-Stokes equations(paper 8, 9 and in preparation)
 
Asymptotic Behavior of Porous Medium Equations(paper 3, 4, and 17)
 
Asymptotic Behavior of Nonlinear Diffusion Equations including p-Laplacian equations (5, 6, 7 and 15)
 
Major Publication

Minkyu Kwak, Finite dimensional inertial forms for the 2D Navier-Stokes equations,Indiana Univ. Math. J. 41(1992) 927-981


          Minkyu Kwak. Finite-dimensional description of convective reaction-diffusion equations, J. Dynam. Differential Equations 4(1992), 515-543
          Jeongseon Baek, Hyung-Kwan Ju and Minkyu Kwak, Invariant manifolds and inertial forms for parabolic partial differential equations, Indiana Unib. Math. J. 42(1993), 721-731
Minkyu Kwak, Fourier spanning dimension of attractors for two-dimensional Navier-Stokes equations, Nonlinear Anal. 25 (1995), 217-222
 
Minkyu Kwak and Kyong Yu, The asymptotic behavior of solutions of a semilinear parabolic equation, Discrete Conti. Dynam. Systems 2 (1996), 483-496
 
Minkyu Kwak, A porous media equation with absorption:1. Long time behaviour, J. Math. Anal. Appl. 223 (1998), 96-110
 
Minkyu Kwak, A porous media equation with absorption II. Uniqueness of the very singular solution, J. Math. Anal. Appl. 223 (1998), 111-125
 
Minkyu Kwak, A semilinear heat equation with a singular initial data, Proc. Roy. Soc. Edinburgh Sec. A 128 (1998), 745-758
 
Minkyu Kwak and Kyung Yu, Asymptotic Behaviour of Solutions of a Degenerate Parabolic Equation, Nonlinear Anal., TMA, (2001) 
 
Minkyu Kwak, Jeong-Seon Baek, and Kyung Yu, Uniqueness of the very singular solution of a degenerate parabolic equation, Nonlinear Anal. TMA, (2001) 
 
Minkyu Kwak and Z.P. Fang, A finite dimensional property of a parabolic partial differential equation, I. Dynamics and Diff., (2005)
 
Minkyu Kwak and Z.P. Fang, Negatively bounded solutions for a parabolic partial differential equation, Bull. K.M.S., (2005)
 
Minkyu Kwak and S. Choi, Self-similar solutions of a semilinear heat equation, Taiwanese J. Math., (2004)
 
Minkyu Kwak and etc, A Variational Theory in circular arch, Trends in Math., (2005)
 
Minkyu Kwak and etc., Equilibrium states of elastic circular arch with clamped buckling, International Jour. of Information and System Sciences, (2006)
 
Minkyu Kwak and etc., The dimension of attractor of the 2D g-Navier-Stokes equations, J.MAA,  (2006)
 
Minkyu Kwak and etc, A Nonlinear Liouville theorem in the upper half plane, Jour. of KSIAM, (2006)
 
Minkyu Kwak and etc., Complete classification of shape functions of self-similar solutions, J.MAA, (2007)
 
Minkyu Kwak and etc., The process of the development of Hypoxia in an abnormal blood flow II, Jour. of KSIAM, (2007)
 
Minkyu Kwak and etc., A very singular solution for the slow diffusion equation with nonlinear convection, J.MAA, (2008)
 
Minkyu Kwak, A global existence proof of Navier-Stokes equations in 3D periodic thin domain, preprint, (2008)
 
Minkyu Kwak, A global existence theory of 3D Navier-Stokes equations, preprint, (2008)