Fabio Marcinno', Alberto Zingaro, Ivan Fumagalli, Luca Dede', Christian Vergara
{"title":"A Computational Study of Blood Flow Dynamics in the Pulmonary Arteries.","authors":"Fabio Marcinno', Alberto Zingaro, Ivan Fumagalli, Luca Dede', Christian Vergara","doi":"10.1007/s10013-022-00595-y","DOIUrl":"https://doi.org/10.1007/s10013-022-00595-y","url":null,"abstract":"<p><p>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.</p>","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"127-149"},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9750052/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10577114","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Strongly Base-Two Groups.","authors":"Timothy C Burness, Robert M Guralnick","doi":"10.1007/s10013-023-00628-0","DOIUrl":"10.1007/s10013-023-00628-0","url":null,"abstract":"<p><p>Let <i>G</i> be a finite group, let <i>H</i> be a core-free subgroup and let <i>b</i>(<i>G</i>, <i>H</i>) denote the base size for the action of <i>G</i> on <i>G</i>/<i>H</i>. Let <math><mrow><mi>α</mi><mo>(</mo><mi>G</mi><mo>)</mo></mrow></math> be the number of conjugacy classes of core-free subgroups <i>H</i> of <i>G</i> with <math><mrow><mi>b</mi><mo>(</mo><mi>G</mi><mo>,</mo><mi>H</mi><mo>)</mo><mo>≥</mo><mn>3</mn></mrow></math>. We say that <i>G</i> is a strongly base-two group if <math><mrow><mi>α</mi><mo>(</mo><mi>G</mi><mo>)</mo><mo>≤</mo><mn>1</mn></mrow></math>, which means that almost every faithful transitive permutation representation of <i>G</i> has base size 2. In this paper, we study the strongly base-two finite groups with trivial Frattini subgroup.</p>","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 3","pages":"657-683"},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10444712/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10064989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Bounds for the Diameters of Orbital Graphs of Affine Groups.","authors":"Attila Maróti, Saveliy V Skresanov","doi":"10.1007/s10013-023-00607-5","DOIUrl":"10.1007/s10013-023-00607-5","url":null,"abstract":"<p><p>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 <i>H</i> ≤GL(<i>V</i> ), where the vector space <i>V</i> has dimension <i>d</i> over the prime field, can be bounded in terms of <i>d</i> and <math><mi>log</mi><mo>|</mo><mi>V</mi><mo>|</mo><mo>/</mo><mi>log</mi><mo>|</mo><mi>H</mi><mo>|</mo></math> 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.</p>","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 3","pages":"617-631"},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10444657/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10072755","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rational Elements in Representations of Simple Algebraic Groups, I","authors":"A. Zalesski","doi":"10.1007/s10013-023-00629-z","DOIUrl":"https://doi.org/10.1007/s10013-023-00629-z","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45002557","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}
{"title":"Regularity Theory of Quasilinear Elliptic and Parabolic Equations in the Heisenberg Group","authors":"L. Capogna, G. Citti, X. Zhong","doi":"10.1007/s10013-023-00644-0","DOIUrl":"https://doi.org/10.1007/s10013-023-00644-0","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47883448","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}
{"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}
{"title":"On Numerical Approximation of Diffusion Problems Governed by Variable-Exponent Nonlinear Elliptic Operators","authors":"Boris Andreianov, E. Quenjel","doi":"10.1007/s10013-022-00592-1","DOIUrl":"https://doi.org/10.1007/s10013-022-00592-1","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"213-243"},"PeriodicalIF":0.8,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48067175","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}
{"title":"General Local Cohomology Modules with Small Dimensions","authors":"N. Tri, Bui Thi Hong Cam","doi":"10.1007/s10013-022-00582-3","DOIUrl":"https://doi.org/10.1007/s10013-022-00582-3","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48591329","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}
{"title":"Adaptive and Frugal FETI-DP for Virtual Elements","authors":"A. Klawonn, M. Lanser, Adam Wasiak","doi":"10.1007/s10013-022-00580-5","DOIUrl":"https://doi.org/10.1007/s10013-022-00580-5","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":"51 1","pages":"89-111"},"PeriodicalIF":0.8,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46458755","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}
{"title":"Resonances and Eigenvalues for the Constant Mean Curvature Equation","authors":"Sagun Chanillo","doi":"10.1007/s10013-023-00633-3","DOIUrl":"https://doi.org/10.1007/s10013-023-00633-3","url":null,"abstract":"","PeriodicalId":45919,"journal":{"name":"Vietnam Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45945109","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}