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Vietnam Journal of Mathematics最新文献

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A Computational Study of Blood Flow Dynamics in the Pulmonary Arteries. 肺动脉血流动力学的计算研究。
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2023-01-01 DOI: 10.1007/s10013-022-00595-y
Fabio Marcinno', Alberto Zingaro, Ivan Fumagalli, Luca Dede', Christian Vergara

In this work we study the blood dynamics in the pulmonary arteries by means of a 3D-0D geometric multiscale approach, where a detailed 3D model for the pulmonary arteries is coupled with a lumped parameters (0D) model of the cardiovascular system. We propose to investigate three strategies for the numerical solution of the 3D-0D coupled problem: the Splitting-Explicit and Implicit algorithms, where information are exchanged between 3D and 0D models at each time step at the interfaces, and the One-Way algorithm, where the 0D is solved first off-line. In our numerical experiments performed in a realistic patient-specific 3D domain with a physiologically calibrated 0D model, we discuss first the issue on instabilities that may arise when not suitable connections are considered between 3D and 0D models; second we compare the performance and accuracy of the three proposed numerical strategies. Finally, we report a comparison between a healthy and a hypertensive case, providing a preliminary result highlighting how our method could be used in future for clinical purposes.

在这项工作中，我们通过3D-0D几何多尺度方法研究肺动脉中的血液动力学，其中肺动脉的详细3D模型与心血管系统的集总参数(0D)模型相结合。我们建议研究3D-0D耦合问题数值解的三种策略:分离显式和隐式算法，其中在接口的每个时间步在3D和0D模型之间交换信息，以及单向算法，其中0D首先离线求解。在我们的数值实验中，在一个具有生理校准的0D模型的现实患者特定的3D域中进行，我们首先讨论了当3D和0D模型之间考虑不合适的连接时可能出现的不稳定性问题;其次，我们比较了三种提出的数值策略的性能和精度。最后，我们报告了健康和高血压病例之间的比较，提供了一个初步结果，突出了我们的方法如何在未来用于临床目的。
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引用次数: 6
Strongly Base-Two Groups. 强基两个群。
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2023-01-01 Epub Date: 2023-05-10 DOI: 10.1007/s10013-023-00628-0
Timothy C Burness, Robert M Guralnick

Let G be a finite group, let H be a core-free subgroup and let b(G, H) denote the base size for the action of G on G/H. Let α(G) be the number of conjugacy classes of core-free subgroups H of G with b(G,H)≥3. We say that G is a strongly base-two group if α(G)≤1, which means that almost every faithful transitive permutation representation of G has base size 2. In this paper, we study the strongly base-two finite groups with trivial Frattini subgroup.

设G是有限群，设H是无核子群，设b（G，H）表示G对G/H作用的基大小。设α（G）为G的无核子群H与b（G，H）≥3的共轭类的个数。如果α（G）≤1，则G是强基二群，这意味着G的几乎每个忠实传递置换表示都有基大小2。本文研究了具有平凡Frattini子群的强基两个有限群。
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引用次数: 0
Bounds for the Diameters of Orbital Graphs of Affine Groups. 仿射群轨道图直径的界。
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2023-01-01 Epub Date: 2023-02-10 DOI: 10.1007/s10013-023-00607-5
Attila Maróti, Saveliy V Skresanov

General bounds are presented for the diameters of orbital graphs of finite affine primitive permutation groups. For example, it is proved that the orbital diameter of a finite affine primitive permutation group with a nontrivial point stabilizer H ≤GL(V ), where the vector space V has dimension d over the prime field, can be bounded in terms of d and log|V|/log|H| only. Several infinite families of affine primitive permutation groups with large orbital diameter are constructed. The results are independent from the classification of finite simple groups.

给出了有限仿射基置换群轨道图直径的一般界。例如，证明了具有非平凡点稳定器H≤GL（V）的有限仿射基元置换群的轨道直径，其中向量空间V在素域上具有维数d，可以仅根据d和log|V|/log|H|来有界。构造了几个具有大轨道直径的仿射基置换群的无穷大族。结果独立于有限单群的分类。
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引用次数: 2
Rational Elements in Representations of Simple Algebraic Groups, I 简单代数群表示中的有理元素，1
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-12-29 DOI: 10.1007/s10013-023-00629-z
A. Zalesski
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引用次数: 0
Regularity Theory of Quasilinear Elliptic and Parabolic Equations in the Heisenberg Group Heisenberg群拟线性椭圆型和抛物型方程的正则性理论
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-12-20 DOI: 10.1007/s10013-023-00644-0
L. Capogna, G. Citti, X. Zhong
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引用次数: 0
Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrödinger Equations (随机)聚焦非线性Schrödinger方程的多泡爆破和多孤子研究进展
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-10-31 DOI: 10.1007/s10013-023-00640-4
V. Barbu, M. Rockner, Deng Zhang
{"title":"Recent Progress on Multi-bubble Blow-ups and Multi-solitons to (Stochastic) Focusing Nonlinear Schrödinger Equations","authors":"V. Barbu, M. Rockner, Deng Zhang","doi":"10.1007/s10013-023-00640-4","DOIUrl":"https://doi.org/10.1007/s10013-023-00640-4","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46465688","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators 变指数非线性椭圆型算子控制扩散问题的数值逼近
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-10-24 DOI: 10.1007/s10013-022-00592-1
Boris Andreianov, E. Quenjel
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引用次数: 0
General Local Cohomology Modules with Small Dimensions 具有小维数的一般局部上同调模
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-10-21 DOI: 10.1007/s10013-022-00582-3
N. Tri, Bui Thi Hong Cam
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引用次数: 0
Adaptive and Frugal FETI-DP for Virtual Elements 虚拟元件的自适应节约型FETI-DP
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-10-10 DOI: 10.1007/s10013-022-00580-5
A. Klawonn, M. Lanser, Adam Wasiak
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引用次数: 1
Resonances and Eigenvalues for the Constant Mean Curvature Equation 常平均曲率方程的共振与特征值
IF 0.8 Q2 MATHEMATICS
Vietnam Journal of Mathematics
Pub Date : 2022-10-10 DOI: 10.1007/s10013-023-00633-3
Sagun Chanillo
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引用次数: 0
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