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Mathematical and numerical models for the cardiac electromechanical function 心脏机电功能的数学和数值模型
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-14 DOI: 10.4171/RLM/935
L. Dede’, A. Quarteroni, Francesco Regazzoni
{"title":"Mathematical and numerical models for the cardiac electromechanical function","authors":"L. Dede’, A. Quarteroni, Francesco Regazzoni","doi":"10.4171/RLM/935","DOIUrl":"https://doi.org/10.4171/RLM/935","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45438159","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
Radon measure-valued solutions of quasilinear parabolic equations 拟线性抛物方程的氡测量值解
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-14 DOI: 10.4171/RLM/934
A. Tesei
{"title":"Radon measure-valued solutions of quasilinear parabolic equations","authors":"A. Tesei","doi":"10.4171/RLM/934","DOIUrl":"https://doi.org/10.4171/RLM/934","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41863943","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
Sub-shock formation in shock structure of a binary mixture of polyatomic gases 多原子气体二元混合物激波结构中的次激波形成
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-14 DOI: 10.4171/RLM/932
T. Ruggeri, S. Taniguchi
{"title":"Sub-shock formation in shock structure of a binary mixture of polyatomic gases","authors":"T. Ruggeri, S. Taniguchi","doi":"10.4171/RLM/932","DOIUrl":"https://doi.org/10.4171/RLM/932","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47530517","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: 3
Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients 一类具有vmo -系数的非强制椭圆系统的Morrey估计
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-14 DOI: 10.4171/RLM/938
G. R. Cirmi, S. D’Asero, S. Leonardi
{"title":"Morrey estimates for a class of noncoercive elliptic systems with VMO-coefficients","authors":"G. R. Cirmi, S. D’Asero, S. Leonardi","doi":"10.4171/RLM/938","DOIUrl":"https://doi.org/10.4171/RLM/938","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45194436","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: 3
On the singularities and on the projective normality of some Enriques–Fano threefolds 关于一些Enriques-Fano三倍的奇异性和射影正规性
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-08 DOI: 10.4171/rlm/996
Vincenzo Martello
{"title":"On the singularities and on the projective normality of some Enriques–Fano threefolds","authors":"Vincenzo Martello","doi":"10.4171/rlm/996","DOIUrl":"https://doi.org/10.4171/rlm/996","url":null,"abstract":"In order to find useful information to complete the classification of Enriques-Fano threefolds, we will computationally study the singularities of some known Enriques-Fano threefolds of genus 6, 7, 8, 9, 10, 13 and 17. We will also deduce the projective normality of these threefolds.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42539214","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
Elastic-brittle reinforcement of flexural structures 受弯结构的弹脆加固
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-05-11 DOI: 10.4171/rlm/954
F. Maddalena, D. Percivale, F. Tomarelli
{"title":"Elastic-brittle reinforcement of flexural structures","authors":"F. Maddalena, D. Percivale, F. Tomarelli","doi":"10.4171/rlm/954","DOIUrl":"https://doi.org/10.4171/rlm/954","url":null,"abstract":"This note provides a variational description of the mechanical effects of flexural stiffening of a 2D plate glued to an elastic-brittle or an elastic-plastic reinforcement. The reinforcement is assumed to be linear elastic outside possible free plastic yield lines or free crack. Explicit Euler equations and a compliance identity are shown for the reinforcement of a 1D beam.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42930791","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
Counting rational points on elliptic curves with a rational 2-torsion point 计算具有有理二扭点的椭圆曲线上的有理点
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-05-09 DOI: 10.4171/rlm/945
F. Naccarato
{"title":"Counting rational points on elliptic curves with a rational 2-torsion point","authors":"F. Naccarato","doi":"10.4171/rlm/945","DOIUrl":"https://doi.org/10.4171/rlm/945","url":null,"abstract":"Let $E/mathbb{Q}$ be an elliptic curve over the rational numbers. It is known, by the work of Bombieri and Zannier, that if $E$ has full rational $2$-torsion, the number $N_E(B)$ of rational points with Weil height bounded by $B$ is $expleft(Oleft(frac{log B}{sqrt{loglog B}}right)right)$. In this paper we exploit the method of descent via $2$-isogeny to extend this result to elliptic curves with just one nontrivial rational $2$-torsion point. Moreover, we make use of a result of Petsche to derive the stronger upper bound $N_{E}(B) = expleft(Oleft(frac{log B}{loglog B}right)right)$ for these curves and to remove a deep transcendence theory ingredient from the proof.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46590072","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
Shape optimization problems in control form 控制形式下的形状优化问题
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-05-08 DOI: 10.4171/rlm/942
G. Buttazzo, Francesco Paolo Maiale, B. Velichkov
{"title":"Shape optimization problems in control form","authors":"G. Buttazzo, Francesco Paolo Maiale, B. Velichkov","doi":"10.4171/rlm/942","DOIUrl":"https://doi.org/10.4171/rlm/942","url":null,"abstract":"We consider a shape optimization problem written in the optimal control form: the governing operator is the p-Laplacian in the Euclidean space R, the cost is of an integral type, and the control variable is the domain of the state equation. Conditions that guarantee the existence of an optimal domain will be discussed in various situations. It is proved that the optimal domains have a finite perimeter and, under some suitable assumptions, that they are open sets. A crucial difference is between the case p > d, where the existence occurs under very mild conditions, and the case p ≤ d, where additional assumptions have to be made on the data.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44076744","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: 4
A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian Dirichlet拉普拉斯算子的一个反量化等周型不等式
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-05-07 DOI: 10.4171/rlm/973
Gloria Paoli
{"title":"A reverse quantitative isoperimetric type inequality for the Dirichlet Laplacian","authors":"Gloria Paoli","doi":"10.4171/rlm/973","DOIUrl":"https://doi.org/10.4171/rlm/973","url":null,"abstract":"A stability result in terms of the perimeter is obtained for the first Dirichlet eigenvalue of the Laplacian operator. In particular, we prove that, once we fix the dimension n ě 2, there exists a constant c ą 0, depending only on n, such that, for every Ω Ă R open, bounded and convex set with volume equal to the volume of a ball B with radius 1, it holds λ1pΩq ́ λ1pBq ě c pP pΩq ́ P pBqq , where by λ1p ̈q we denote the first Dirichlet eigenvalue of a set and by P p ̈q its perimeter. The hearth of the present paper is a sharp estimate of the Fraenkel asymmetry in terms of the perimeter. MSC 2020: 35J05, 35J57, 52A27","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45587258","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
Contracting properties of bounded holomorphic functions 有界全纯函数的收缩性质
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-04-22 DOI: 10.4171/rlm/930
Manabu Ito
{"title":"Contracting properties of bounded holomorphic functions","authors":"Manabu Ito","doi":"10.4171/rlm/930","DOIUrl":"https://doi.org/10.4171/rlm/930","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44713281","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
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