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Journal of the Korean Mathematical Society最新文献

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THE QUASI-NEUTRAL LIMIT OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS FOR IONIC DYNAMICS 离子动力学中可压缩磁流体流动的准中性极限
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180848
Young-Sam Kwon
{"title":"THE QUASI-NEUTRAL LIMIT OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS FOR IONIC DYNAMICS","authors":"Young-Sam Kwon","doi":"10.4134/JKMS.J180848","DOIUrl":"https://doi.org/10.4134/JKMS.J180848","url":null,"abstract":"In this paper we study the quasi-neutral limit of the compressible magnetohydrodynamic flows in the periodic domain T3 with the well-prepared initial data. We prove that the weak solution of the compressible magnetohydrodynamic flows governed by the Poisson equation converges to the strong solution of the compressible flow of magnetohydrodynamic flows as long as the latter exists.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A singular function from Sturmian continued fractions Sturmian连分式的奇异函数
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180578
Kwon DoYong
{"title":"A singular function from Sturmian continued fractions","authors":"Kwon DoYong","doi":"10.4134/JKMS.J180578","DOIUrl":"https://doi.org/10.4134/JKMS.J180578","url":null,"abstract":". For α ≥ 1, let s α ( n ) = ⌈ αn ⌉ − ⌈ α ( n − 1) ⌉ . A continued fraction C ( α ) = [0; s α (1) ,s α (2) , ... ] is considered and analyzed. Appeal- ing to Diophantine approximation, we investigate the differentiability of C ( α ), and then show its singularity.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510377","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Ideal right-angled pentagons in hyperbolic 4-space 双曲四边形空间中的理想直角五边形
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180096
Young-Jin Kim, S. Tan
{"title":"Ideal right-angled pentagons in hyperbolic 4-space","authors":"Young-Jin Kim, S. Tan","doi":"10.4134/JKMS.J180096","DOIUrl":"https://doi.org/10.4134/JKMS.J180096","url":null,"abstract":". An ideal right-angled pentagon in hyperbolic 4-space H 4 is a sequence of oriented geodesics ( L 1 ,...,L 5 ) such that L i intersects L i +1 , i = 1 ,..., 4, perpendicularly in H 4 and the initial point of L 1 coincides with the endpoint of L 5 in the boundary at infinity ∂ H 4 . We study the geometry of such pentagons and the various possible augmentations and prove identities for the associated quaternion half side lengths as well as other geometrically defined invariants of the configurations. As applications we look at two-generator groups (cid:104) A,B (cid:105) of isometries acting on hyperbolic 4-space such that A is parabolic, while B and AB are loxodromic.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509953","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a class of noncooperative fourth-order elliptic systems with nonlocal terms and critical growth 一类具有非局部项和临界增长的非合作四阶椭圆系统
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.j180716
N. T. Chung
{"title":"On a class of noncooperative fourth-order elliptic systems with nonlocal terms and critical growth","authors":"N. T. Chung","doi":"10.4134/JKMS.j180716","DOIUrl":"https://doi.org/10.4134/JKMS.j180716","url":null,"abstract":". In this paper, we consider a class of noncooperative fourth-order elliptic systems involving nonlocal terms and critical growth in a bounded domain. With the help of Limit Index Theory due to Li [32] combined with the concentration compactness principle, we establish the existence of infinitely many solutions for the problem under the suitable conditions on the nonlinearity. Our results significantly complement and improve some recent results on the existence of solutions for fourth-order elliptic equations and Kirchhoff type problems with critical growth.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510469","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
PICK TWO POINTS IN A TREE 在树上选两个点
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180503
Hana Kim, L. Shapiro
{"title":"PICK TWO POINTS IN A TREE","authors":"Hana Kim, L. Shapiro","doi":"10.4134/JKMS.J180503","DOIUrl":"https://doi.org/10.4134/JKMS.J180503","url":null,"abstract":"In ordered trees, two randomly chosen vertices are said to be dependent if one lies under the other. If not, we say that they are independent. We consider several classes of ordered trees with uniform updegree requirements and find the generating functions for the trees with two marked dependent/independent vertices. As a result, we compute the probability for two vertices being dependent/independent. We also count such trees by the distance between two independent vertices.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
REVERSIBILITY AND SYMMETRY OVER CENTERS 可逆性和中心对称
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2019-01-01 DOI: 10.4134/JKMS.J180364
K. Choi, T. Kwak, Yang Lee
{"title":"REVERSIBILITY AND SYMMETRY OVER CENTERS","authors":"K. Choi, T. Kwak, Yang Lee","doi":"10.4134/JKMS.J180364","DOIUrl":"https://doi.org/10.4134/JKMS.J180364","url":null,"abstract":". A property of reduced rings is proved in relation with centers, and our argument in this article is spread out based on this. It is also proved that the Wedderburn radical coincides with the set of all nilpotents in symmetric-over-center rings, implying that the Jacobson radi- cal, all nilradicals, and the set of all nilpotents are equal in polynomial rings over symmetric-over-center rings. It is shown that reduced rings are reversible-over-center, and that given reversible-over-center rings, various sorts of reversible-over-center rings can be constructed. The structure of radicals in reversible-over-center and symmetric-over-center rings is also investigated.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70510183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
Counting subrings of the ring $mathbb Z_m times mathbb Z_n$ 计算环$mathbb Z_m 乘以mathbb Z_n$的子数
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-22 DOI: 10.4134/JKMS.j180828
L. Tóth
{"title":"Counting subrings of the ring $mathbb Z_m times mathbb Z_n$","authors":"L. Tóth","doi":"10.4134/JKMS.j180828","DOIUrl":"https://doi.org/10.4134/JKMS.j180828","url":null,"abstract":"Let $m,nin Bbb{N}$. We represent the additive subgroups of the ring $Bbb{Z}_m times Bbb{Z}_n$, which are also (unital) subrings, and deduce explicit formulas for $N^{(s)}(m,n)$ and $N^{(us)}(m,n)$, denoting the number of subrings of the ring $Bbb{Z}_m times Bbb{Z}_n$ and its unital subrings, respectively. We show that the functions $(m,n)mapsto N^{(s)}(m,n)$ and $(m,n)mapsto N^{(us)}(m,n)$ are multiplicative, viewed as functions of two variables, and their Dirichlet series can be expressed in terms of the Riemann zeta function. We also establish an asymptotic formula for the sum $sum_{m,nle x} N^{(s)}(m,n)$, the error term of which is closely related to the Dirichlet divisor problem.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41743888","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generation of ray class fields modulo 2, 3, 4 or 6 by using the Weber function 用韦伯函数生成以2、3、4或6为模的射线类场
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170220
H. Jung, J. Koo, D. Shin
{"title":"Generation of ray class fields modulo 2, 3, 4 or 6 by using the Weber function","authors":"H. Jung, J. Koo, D. Shin","doi":"10.4134/JKMS.J170220","DOIUrl":"https://doi.org/10.4134/JKMS.J170220","url":null,"abstract":". Let K be an imaginary quadratic field with ring of integers O K . Let E be an elliptic curve with complex multiplication by O K , and let h E be the Weber function on E . Let N ∈ { 2 , 3 , 4 , 6 } . We show that h E alone when evaluated at a certain N -torsion point on E generates the ray class field of K modulo N O K . This would be a partial answer to the question raised by Hasse and Ramachandra.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Helicoidal killing fields, helicoids and ruled minimal surfaces in homogeneous three-manifolds 齐次三流形中的螺旋面杀伤场、螺旋面和直纹极小曲面
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170671
Young‐Wook Kim, Sung-Eun Koh, H. Lee, Heayong Shin, Seong-Deog Yang
{"title":"Helicoidal killing fields, helicoids and ruled minimal surfaces in homogeneous three-manifolds","authors":"Young‐Wook Kim, Sung-Eun Koh, H. Lee, Heayong Shin, Seong-Deog Yang","doi":"10.4134/JKMS.J170671","DOIUrl":"https://doi.org/10.4134/JKMS.J170671","url":null,"abstract":"We provide definitions for the helicoidal Killing field and the helicoid in arbitrary three-manifolds, and investigate helicoids and ruled minimal surfaces in homogeneous three-manifolds, mainly in SL2R and Sol(3). In so doing we finish our classification of ruled minimal surfaces in homogeneous three-manifolds with the isometry group of dimension 4.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS 两个变量高阶富比尼多项式
IF 0.6 4区 数学
Journal of the Korean Mathematical Society Pub Date : 2018-01-01 DOI: 10.4134/JKMS.J170573
Dae San Kim, Taekyun Kim, H. Kwon, Jin-Woo Park
{"title":"TWO VARIABLE HIGHER-ORDER FUBINI POLYNOMIALS","authors":"Dae San Kim, Taekyun Kim, H. Kwon, Jin-Woo Park","doi":"10.4134/JKMS.J170573","DOIUrl":"https://doi.org/10.4134/JKMS.J170573","url":null,"abstract":". Some new family of Fubini type numbers and polynomials associated with Apostol-Bernoulli numbers and polynomilas were intro- duced recently by Kilar and Simsek ([5]) and we study the two variable Fubini polynomials as Appell polynomials whose coefficients are the Fu- bini polynomials. In this paper, we would like to utilize umbral calculus in order to study two variable higher-order Fubini polynomials. We derive some of their properties, explicit expressions and recurrence relations. In addition, we express the two variable higher-order Fubini polynomials in terms of some families of special polynomials and vice versa.","PeriodicalId":49993,"journal":{"name":"Journal of the Korean Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70509748","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
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