Comptes Rendus de l'Académie des Sciences - Series I - Mathematics最新文献_第2页

Mesure d'indépendance linéaire de logarithmes dans un groupe algébrique commutatif 在交换代数群中对数的线性独立性的度量

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02190-5

Éric Gaudron

引用次数: 15

Stabilisation frontière du système de l'élasticité linéaire anisotrope 线性各向异性弹性系统的边界稳定

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02194-2

Rabah Bey , Amar Heminna , Jean-Pierre Lohéac

引用次数: 1

W1,p estimates for solutions to the Ginzburg–Landau equation with boundary data in H1/2 h /2中边界数据下Ginzburg-Landau方程解的W1,p估计

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02191-7

Fabrice Bethuel , Jean Bourgain , Haı̈m Brezis , Giandomenico Orlandi

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引用次数: 14

Diffusion des ondes par une violation de la causalité 违反因果关系的波的扩散

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02193-0

Alain Bachelot

引用次数: 0

Le problème de la réalisation minimale dans le demi-anneau max-plus et le problème de Pisot sont NP-durs∗ max-plus半环的最小实现问题和践踏问题是np - hard∗

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-15 DOI: 10.1016/S0764-4442(01)02192-9

Vincent D. Blondel , Natacha Portier

引用次数: 0

Local Poincaré inequalities on loop spaces 循环空间上的局部poincarcarr不等式

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-01 DOI: 10.1016/S0764-4442(01)02174-7

Andreas Eberle

{"title":"Local Poincaré inequalities on loop spaces","authors":"Andreas Eberle","doi":"10.1016/S0764-4442(01)02174-7","DOIUrl":"10.1016/S0764-4442(01)02174-7","url":null,"abstract":"<div>Let M be a compact connected Riemannian manifold, and fix x,y∈M. For a sufficiently small constant R>0, Poincaré inequalities w.r.t. pinned Wiener measure with time parameter T>0 are proven on the sets <math><mtext>Ω</mtext><msup><mi></mi><mn>R,N</mn></msup><msub><mi></mi><mn>x,y</mn></msub></math>, <math><mtext>N∈</mtext><mtext>N</mtext></math>, consisting of all continuous paths ω:[0,1]→M such that ω(0)=x, ω(1)=y, and d(ω(s),ω(t))<R if s,t∈[(i−1)/N,i/N] for some integer i. Moreover, the asymptotic behaviour of the best constants in the Poincaré inequalities as T goes to 0 is studied. It turns out that the asymptotic depends crucially on the Riemannian metric on M and, in particular, on the geodesics contained in <math><mtext>Ω</mtext><msup><mi></mi><mn>R,N</mn></msup><msub><mi></mi><mn>x,y</mn></msub></math>. Key ingredients in the proofs are a bisection argument, estimates for finite-dimensional spectral gaps, and a crucial variance estimate by Malliavin and Stroock.</div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 11","pages":"Pages 1023-1028"},"PeriodicalIF":0.0,"publicationDate":"2001-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02174-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72453907","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: 4

Time reversal for classical waves in random media 随机介质中经典波的时间反转

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-01 DOI: 10.1016/S0764-4442(01)02177-2

Guillaume Bal , Leonid Ryzhik

引用次数: 22

D-PANA: a convergent block-relaxation solution method for the discretized dual formulation of the Signorini–Coulomb contact problem† D-PANA: sigorini - coulomb接触问题离散对偶公式的收敛块松弛解方法

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-01 DOI: 10.1016/S0764-4442(01)02153-X

Paolo Bisegna , Frédéric Lebon , Franco Maceri

{"title":"D-PANA: a convergent block-relaxation solution method for the discretized dual formulation of the Signorini–Coulomb contact problem†","authors":"Paolo Bisegna , Frédéric Lebon , Franco Maceri","doi":"10.1016/S0764-4442(01)02153-X","DOIUrl":"10.1016/S0764-4442(01)02153-X","url":null,"abstract":"<div>Signorini's law of unilateral contact and Coulomb's friction law constitute a simple and useful framework for the analysis of unilateral frictional contact problems of a linearly elastic body with a rigid support. For quasi-static, monotone-loadings, the discrete dual formulation of this problem leads to a quasi-variational inequality, whose unknowns, after condensation, are the normal and tangential contact forces at nodes of the initial contact area. A new block-relaxation solution technique is proposed here. At the typical iteration step, shown to be a contraction for small friction coefficients, two quadratic programming problems are solved one after the other: the former is a friction problem with given normal forces, the latter is a unilateral contact problem with prescribed tangential forces. The contraction principle is used to establish the well-posedness of the discrete formulation, to prove the convergence of the algorithm, and to obtain an estimate of the convergence rate.</div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 11","pages":"Pages 1053-1058"},"PeriodicalIF":0.0,"publicationDate":"2001-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02153-X","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89354535","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: 17

Triangular systems of probability measures on simply connected nilpotent and discrete subgroups of exponential Lie groups 指数李群的单连通幂零离散子群上的概率测度三角系统

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-01 DOI: 10.1016/S0764-4442(01)02164-4

Daniel Neuenschwander

引用次数: 1

On the recurrence of random walks on Z in random medium 随机介质中Z上随机游动的递归性

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics Pub Date : 2001-12-01 DOI: 10.1016/S0764-4442(01)02173-5

Julien Bremont

引用次数: 4