REFERENCE LINKING PLATFORM OF KOREA S&T JOURNALS
search word
HOME
>
Advanced Search
> Article Search Result
500 result(s) found
All
1
ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR THE GENERALIZED MHD AND HALL-MHD SYSTEMS IN ℝ
^{n}
Zhu, Mingxuan;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 735-747
DOI: 10.4134/BKMS.b170088
Abstract
This paper deals with the asymptotic behavior of solutions to the generalized MHD and Hall-MHD systems. Firstly, the upper bound for the generalized MHD and Hall-MHD systems is investigated in
$L^2$
space. Then, the effect of the Hall term is analyzed. Finally, we optimize the upper bound of decay and obtain their algebraic lower bound for the generalized MHD system by using Fourier splitting method.
2
QUASI-ISOMETRIC AND WEAKLY QUASISYMMETRIC MAPS BETWEEN LOCALLY COMPACT NON-COMPLETE METRIC SPACES
Wang, Xiantao;Zhou, Qingshan;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 967-970
DOI: 10.4134/BKMS.b170419
Abstract
The aim of this paper is to show that there exists a weakly quasisymmetric homeomorphism
$f:(X,d){\rightarrow}(Y,d^{\prime})$
between two locally compact non-complete metric spaces such that
$f:(X,d_h){\rightarrow}(Y,d^{\prime}_h)$
is not quasi-isometric, where dh denotes the Gromov hyperbolic metric with respect to the metric d introduced by Ibragimov in 2011. This result shows that the answer to the related question asked by Ibragimov in 2013 is negative.
3
TWO POINTS DISTORTION ESTIMATES FOR CONVEX UNIVALENT FUNCTIONS
Okada, Mari;Yanagihara, Hiroshi;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 957-965
DOI: 10.4134/BKMS.b170405
Abstract
We study the class
$C{\mathcal{V}} ({\Omega})$
of analytic functions f in the unit disk
${\mathbb{D}}
4
m-ADIC RESIDUE CODES OVER F
_{q}
[v]/(v
^{2}
- v) AND DNA CODES
Kuruz, Ferhat;Oztas, Elif Segah;Siap, Irfan;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 921-935
DOI: 10.4134/BKMS.b170386
Abstract
In this study we determine the structure of m-adic residue codes over the non-chain ring
$F_q[v
]
/(v^2-v)$
and present some promising examples of such codes that have optimal parameters with respect to Griesmer Bound. Further, we show that the generators of m-adic residue codes serve as a natural and suitable application for generating reversible DNA codes via a special automorphism and sets over
$F_{4^{2k}}[v
]
/(v^2-v)$
.
5
FOUNDATIONS OF THE COLORED JONES POLYNOMIAL OF SINGULAR KNOTS
Elhamdadi, Mohamed;Hajij, Mustafa;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 937-956
DOI: 10.4134/BKMS.b170403
Abstract
This article gives the foundations of the colored Jones polynomial for singular knots. We extend Masbum and Vogel`s algorithm [26] to compute the colored Jones polynomial for any singular knot. We also introduce the tail of the colored Jones polynomial of singular knots and use its stability properties to prove a false theta function identity that goes back to Ramanujan.
6
EXISTENCE AND UNIQUENESS THEOREMS OF SECOND-ORDER EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS
Bougoffa, Lazhar;Khanfer, Ammar;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 899-911
DOI: 10.4134/BKMS.b170374
Abstract
In this paper, we consider the second-order nonlinear differential equation with the nonlocal boundary conditions. We first reformulate this boundary value problem as a fixed point problem for a Fredholm integral equation operator, and then present a result on the existence and uniqueness of the solution by using the contraction mapping theorem. Furthermore, we establish a sufficient condition on the functions
${\mu}$
and
$h_i$
, i
7
AN IMPLICIT NUMERICAL SCHEME FOR SOLUTION OF INCOMPRESSIBLE NAVIER-STOKES EQUATIONS ON CURVILINEAR G
Fayyaz, Hassan;Shah, Abdullah;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 881-898
DOI: 10.4134/BKMS.b170357
Abstract
This article deals with implementation of a high-order finite difference scheme for numerical solution of the incompressible Navier-Stokes equations on curvilinear grids. The numerical scheme is based on pseudo-compressibility approach. A fifth-order upwind compact scheme is used to approximate the inviscid fluxes while the discretization of metric and viscous terms is accomplished using sixth-order central compact scheme. An implicit Euler method is used for discretization of the pseudo-time derivative to obtain the steady-state solution. The resulting block tridiagonal matrix system is solved by approximate factorization based alternating direction implicit scheme (AF-ADI) which consists of an alternate sweep in each direction for every pseudo-time step. The convergence and efficiency of the method are evaluated by solving some 2D benchmark problems. Finally, computed results are compared with numerical results in the literature and a good agreement is observed.
8
ON A CLASS OF COMPLETE NON-COMPACT GRADIENT YAMABE SOLITONS
Wu, Jia-Yong;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 851-863
DOI: 10.4134/BKMS.b170306
Abstract
We derive lower bounds of the scalar curvature on complete non-compact gradient Yamabe solitons under some integral curvature conditions. Based on this, we prove that potential functions of Yamabe solitons have at most quadratic growth for distance function. We also obtain a finite topological type property on complete shrinking gradient Yamabe solitons under suitable scalar curvature assumptions.
9
MEROMORPHIC FUNCTIONS SHARING SOME FINITE SETS IM
Shirosaki, Manabu;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 865-870
DOI: 10.4134/BKMS.b170341
Abstract
We show that if two nonconstant meromorphic functions f and g on
$\mathbb{C}$
sharing some finite sets IM, then there is a nonconstant rational function R(z) such that R(f)
10
RADIUS OF FULLY STARLIKENESS AND FULLY CONVEXITY OF HARMONIC LINEAR DIFFERENTIAL OPERATOR
Liu, ZhiHong;Ponnusamy, Saminathan;
Bulletin of the Korean Mathematical Society, vol. 55, iss. 3, 2018, pp. 819-835
DOI: 10.4134/BKMS.b170289
Abstract
Let
$f
1
2
3
4
5
6
7
8
9
10
>
>>