KSIAM > Notice > (J-KSIAM) Volume 21 Number 2 (June 2017 issue) TOC

(J-KSIAM) Volume 21 Number 2 (June 2017 issue) TOC

작성일 : 17-06-22 23:49
(J-KSIAM) Volume 21 Number 2 (June 2017 issue) TOC
 글쓴이 : Kim, Junseok
조회 : 291  

Dear colleagues and researchers,
The Journal of the Korean Society for Industrial and Applied Mathematics (J-KSIAM) Volume 21 Number 2
(June 2017 issue) has been posed on http://www.ksiam.org/archive/ Aims and scope or other information
on the journal is available on the KSIAM website http://www.ksiam.org or http://www.ksiam.org/jksiam
The journal is one of Korea Citation Indexed (KCI) journals since 2007. Readers interested in the following
articles may download each of articles free of charge from our website and authors are encouraged to submit
a paper via the online submission site http://www.ksiam.org/jksiam/
Sincerely yours,
Jin Keun Seo, Editor-in-Chief
Zhiming Chen, June-Yub Lee, Tao Tang, Associate Editors-In-Chief
Jin Yeon Cho, Sung-Ik Sohn, Junseok Kim, Managing Editors


JKSIAM-v21n2 pp063-073
A Multiphase level set framework for image segmentation using global and local image fitting energy
Dultuya Terbish, Enkhbolor Adiya, Myungjoo Kang

Segmenting the image into multiple regions is at the core of image processing. Many segmentation formulations
of an images with multiple regions have been suggested over the years. We consider segmentation algorithm based
on the multi-phase level set method in this work. Proposed method gives the best result upon other methods found
in the references. Moreover it can segment images with intensity inhomogeneity and have multiple junction.
We extend our method (GLIF) in [T. Dultuya, and M. Kang, {\it Segmentation with shape prior using global and local
image fitting energy}, J.KSIAM Vol.18, No.3, 225--244, 2014.] using a multi-phase level set formulation to segment
images with multiple regions and junction.  We test our method on different images and compare the method to other
existing methods.


JKSIAM-v21n2 pp075-079
Mathematical Understanding of Consciousness and Unconciousness
Nami Lee, Eun Young Kim, Changsoo Shin

This paper approaches the subject of consciousness and unconsciousness from a mathematical point of view. It sets
up a hypothesis that when unconscious state becomes conscious state, high density energy is released. We argue that
the process of transformation of unconsciousness into consciousness can be expressed using the infinite recursive
Heaviside step function. We claim that differentiation of the potential of unconsciousness with respect to time is
the process of being conscious in a world where only time exists, since the thinking process never have any concrete
space. We try to attribute our unconsciousness to a special solution of the multi-dimensional advection partial
differential equation which can be represented by the finite recursive Heaviside step function. Mathematical language
explains how the infinitive neural process is perceived and understood by consciousness in a definitive time.


JKSIAM-v21n2 pp081-087
The cone property for a class of parabolic equations
Minkyu Kwak, Bataa Lkhagvasuren

In this note, we show that the cone property is satisfied for a class of dissipative equations of the form
u_t=Δu+f(x,u,∇u) in a domain Ω⊂R^2 under the so called exactness condition for the nonlinear term.
From this, we see that the global attractor is represented as a Lipshitz graph over a finite dimensional eigenspace.


JKSIAM-v21n2 pp089-107
Numerical solutions of an unsteady 2-D incompressible flow with heat and mass transfer at low, moderate,
and high Reynolds numbers
V. Ambethkar, D. Kushawaha

In this paper, we have proposed a modified Marker-And-Cell (MAC) method to investigate the problem of an unsteady 2-D
incompressible flow with heat and mass transfer at low, moderate, and high Reynolds numbers with no-slip and slip boundary
conditions. We have used this method to solve the governing equations along with the boundary conditions and thereby to
compute the flow variables, viz. u-velocity, v-velocity, P, T, and C. We have used the staggered grid approach of this
method to discretize the governing equations of the problem. A modified MAC algorithm was proposed and used to compute
the numerical solutions of the flow variables for Reynolds numbers Re=10, 500, and 50000 in consonance with low, moderate,
and high Reynolds numbers. We have also used appropriate Prandtl (Pr) and Schmidt (Sc) numbers in consistence with relevancy of the physical problem considered. We have executed this modified MAC algorithm with the aid of a computer program developed and run in C compiler. We have also computed numerical solutions of local Nusselt (Nu) and Sherwood (Sh) numbers along the horizontal line through the geometric center at low, moderate, and high Reynolds numbers for fixed Pr=6.62 and Sc=340 for two grid systems at time t=0.0001s. Our numerical solutions for u and v velocities along the vertical and horizontal
line through the geometric center of the square cavity for Re=100 has been compared with benchmark solutions available
in the literature and it has been found that they are in good agreement. The present numerical results indicate that, as we move along the horizontal line through the geometric center of the domain, we observed that, the heat and mass transfer decreases up to the geometric center. It, then, increases symmetrically.