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Comptes Rendus. Mathématique最新文献

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Shinbrot’s energy conservation criterion for the 3D Navier–Stokes–Maxwell system 三维Navier-Stokes-Maxwell系统的Shinbrot能量守恒准则
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.379
Dandan Ma, Fan Wu
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引用次数: 1
Hölder estimate for the 3 point-vortex problem with alpha-models Hölder用α -模型估计3点涡问题
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.414
Ludovic Godard-Cadillac
{"title":"Hölder estimate for the 3 point-vortex problem with alpha-models","authors":"Ludovic Godard-Cadillac","doi":"10.5802/crmath.414","DOIUrl":"https://doi.org/10.5802/crmath.414","url":null,"abstract":"In this article we study quasi-geostrophic point-vortex systems in a general setting called alpha point-vortex . We study a particular case of vortex collapses called mono-scale collapses and this study gives the H¨older regularity for the 3-vortex problem. This result implies in particular that the trajectories of the vortices are convergent even in the case of a collapse","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115546929","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: 1
A note on singular oscillatory integrals with certain rational phases 关于具有一定有理相位的奇异振荡积分的注记
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.418
Chenyan Wang, Huo-xiong Wu
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引用次数: 2
Formes différentielles non commutatives et Algèbres de Gerstenhaber 非交换微分形式和格斯坦哈伯代数
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.386
Naoufel Battikh
{"title":"Formes différentielles non commutatives et Algèbres de Gerstenhaber","authors":"Naoufel Battikh","doi":"10.5802/crmath.386","DOIUrl":"https://doi.org/10.5802/crmath.386","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123544348","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
Nouvelle méthodologie d’analyse bayésienne du report des voix et de l’abstention lors du deuxième tour des élections 第二轮选举中推迟投票和弃权的贝叶斯分析新方法
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.401
M. Girondot
{"title":"Nouvelle méthodologie d’analyse bayésienne du report des voix et de l’abstention lors du deuxième tour des élections","authors":"M. Girondot","doi":"10.5802/crmath.401","DOIUrl":"https://doi.org/10.5802/crmath.401","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114598056","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 the existence of generalised syzygies in the planar three-body problem 平面三体问题中广义合的存在性
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.409
A. Tsygvintsev
{"title":"On the existence of generalised syzygies in the planar three-body problem","authors":"A. Tsygvintsev","doi":"10.5802/crmath.409","DOIUrl":"https://doi.org/10.5802/crmath.409","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132821818","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: 1
Blow-up of nonradial solutions to the hyperbolic-elliptic chemotaxis system with logistic source logistic源双曲-椭圆型趋化系统非径向解的爆破
Comptes Rendus. Mathématique Pub Date : 2023-01-12 DOI: 10.5802/crmath.397
Khadijeh Baghaei
{"title":"Blow-up of nonradial solutions to the hyperbolic-elliptic chemotaxis system with logistic source","authors":"Khadijeh Baghaei","doi":"10.5802/crmath.397","DOIUrl":"https://doi.org/10.5802/crmath.397","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124562011","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
Duality for K-analytic Group Cohomology of p-adic Lie Groups p进李群的k -解析群上同调的对偶性
Comptes Rendus. Mathématique Pub Date : 2022-12-08 DOI: 10.5802/crmath.373
O. Thomas
{"title":"Duality for K-analytic Group Cohomology of p-adic Lie Groups","authors":"O. Thomas","doi":"10.5802/crmath.373","DOIUrl":"https://doi.org/10.5802/crmath.373","url":null,"abstract":"","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"36 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114979277","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
A new proof of the GGR conjecture 一个关于GGR猜想的新证明
Comptes Rendus. Mathématique Pub Date : 2022-11-16 DOI: 10.5802/crmath.413
J. Ash, S. Catoiu, H. Fejzic
{"title":"A new proof of the GGR conjecture","authors":"J. Ash, S. Catoiu, H. Fejzic","doi":"10.5802/crmath.413","DOIUrl":"https://doi.org/10.5802/crmath.413","url":null,"abstract":"Arguably, the most important application of higher order derivatives is Taylor’s theorem, asserting that an n times differentiable function f at a point c is approximated near c by a polynomial p with error f(c+ h)− p(c+ h) = o(h) as h → 0. It is also well known that Taylor’s theorem provides only a sufficient condition for this approximation to happen, and all functions f with this property are said to be n times Peano differentiable at c.","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"43 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130779357","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: 2
A new proof of Nishioka’s theorem in Mahler’s method 用马勒方法证明西冈定理
Comptes Rendus. Mathématique Pub Date : 2022-10-26 DOI: 10.5802/crmath.458
B. Adamczewski, Colin Faverjon
{"title":"A new proof of Nishioka’s theorem in Mahler’s method","authors":"B. Adamczewski, Colin Faverjon","doi":"10.5802/crmath.458","DOIUrl":"https://doi.org/10.5802/crmath.458","url":null,"abstract":"In a recent work [3], the authors established new results about general linear Mahler systems in several variables from the perspective of transcendental number theory, such as a multivariate extension of Nishioka's theorem. Working with functions of several variables and with different Mahler transformations leads to a number of complications, including the need to prove a general vanishing theorem and to use tools from ergodic Ramsey theory and Diophantine approximation (e.g., a variant of the $p$-adic Schmidt subspace theorem). These complications make the proof of the main results proved in [3] rather intricate. In this article, we describe our new approach in the special case of linear Mahler systems in one variable. This leads to a new, elementary, and self-contained proof of Nishioka's theorem, as well as of the lifting theorem more recently obtained by Philippon [22] and the authors [1]. Though the general strategy remains the same as in [3], the proof turns out to be greatly simplified. Beyond its own interest, we hope that reading this article will facilitate the understanding of the proof of the main results obtained in [3].","PeriodicalId":395483,"journal":{"name":"Comptes Rendus. Mathématique","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131895143","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: 2
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