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Indiana University Mathematics Journal最新文献

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On a weighted two-phase boundary obstacle problem 一类加权两相边界障碍问题
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9481
D. Danielli, Roberto Ognibene
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引用次数: 0
Gamma-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation 线性弹性中自由不连续问题的收敛性:均匀化和松弛
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9499
Manuel Friedrich, Matteo Perugini, Francesco Solombrino
{"title":"Gamma-convergence for free-discontinuity problems in linear elasticity: homogenization and relaxation","authors":"Manuel Friedrich, Matteo Perugini, Francesco Solombrino","doi":"10.1512/iumj.2023.72.9499","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9499","url":null,"abstract":"We analyze the $Gamma$-convergence of sequences of free-discontinuity functionals arising in the modeling of linear elastic solids with surface discontinuities, including phenomena as fracture, damage, or material voids. We prove compactness with respect to $Gamma$-convergence and represent the $Gamma$-limit in an integral form defined on the space of generalized special functions of bounded deformation ($GSBD^p$). We identify the integrands in terms of asymptotic cell formulas and prove a non-interaction property between bulk and surface contributions. Eventually, we investigate sequences of corresponding boundary value problems and show convergence of minimum values and minimizers. In particular, our techniques allow to characterize relaxations of functionals on $GSBD^p$, and cover the classical case of periodic homogenization.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136092728","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Quantum symmetries of quantum metric spaces and non-local games 量子度量空间的量子对称性与非局部对策
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9430
K. Eifler
{"title":"Quantum symmetries of quantum metric spaces and non-local games","authors":"K. Eifler","doi":"10.1512/iumj.2023.72.9430","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9430","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66766311","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Vanishing dissipation of the 2D anisotropic Boussinesq equations in the half plane 二维各向异性Boussinesq方程在半平面上的消失耗散
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9402
Peixin Wang, Xiaojing Xu
{"title":"Vanishing dissipation of the 2D anisotropic Boussinesq equations in the half plane","authors":"Peixin Wang, Xiaojing Xu","doi":"10.1512/iumj.2023.72.9402","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9402","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66765950","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Asymptotic *-distribution of permuted Haar unitary matrices 置换Haar酉矩阵的渐近*-分布
IF 1.1 2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9331
J. Mingo, M. Popa, K. Szpojankowski
{"title":"Asymptotic *-distribution of permuted Haar unitary matrices","authors":"J. Mingo, M. Popa, K. Szpojankowski","doi":"10.1512/iumj.2023.72.9331","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9331","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66766086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
A two-category of Hamiltonian manifolds, and a (1+1+1) field theory 哈密顿流形的两类，以及一个(1+1+1)场论
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9512
Guillem Cazassus
{"title":"A two-category of Hamiltonian manifolds, and a (1+1+1) field theory","authors":"Guillem Cazassus","doi":"10.1512/iumj.2023.72.9512","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9512","url":null,"abstract":"We define an extended field theory in dimensions $1+1+1$, that takes the form of a `quasi 2-functor' with values in a strict 2-category $widehat{mathcal{H}am}$, defined as the `completion of a partial 2-category' $mathcal{H}am$, notions which we define. Our construction extends Wehrheim and Woodward's Floer Field theory, and is inspired by Manolescu and Woodward's construction of symplectic instanton homology. It can be seen, in dimensions $1+1$, as a real analog of a construction by Moore and Tachikawa. ","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135783645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
On the anti-commutator of two free random variables 两个自由随机变量的反对易子
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9505
Daniel Perales
{"title":"On the anti-commutator of two free random variables","authors":"Daniel Perales","doi":"10.1512/iumj.2023.72.9505","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9505","url":null,"abstract":"Let $(kappa_n(a))_{ngeq 1}$ denote the sequence of free cumulants of a random variable $a$ in a non-commutative probability space $(mathcal{A},varphi)$. Based on some considerations on bipartite graphs, we provide a formula to compute the cumulants $(kappa_n(ab+ba))_{ngeq 1}$ in terms of $(kappa_n(a))_{ngeq 1}$ and $(kappa_n(b))_{ngeq 1}$, where $a$ and $b$ are freely independent. Our formula expresses the $n$-th free cumulant of $ab+ba$ as a sum indexed by partitions in the set $mathcal{Y}_{2n}$ of non-crossing partitions of the form ","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Normalizers and approximate units for inclusions of C^*-algebras C^*-代数包含的归一化器和近似单位
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9539
David R. Pitts
{"title":"Normalizers and approximate units for inclusions of C^*-algebras","authors":"David R. Pitts","doi":"10.1512/iumj.2023.72.9539","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9539","url":null,"abstract":"For an inclusion of C*-algebras $Dsubseteq A$ with $D$ abelian, we show that when $nin A$ normalizes $D$, $n^*n$ and $nn^*$ commute with $D$. As a corollary, when $D$ is a regular MASA in $A$, every approximate unit for $D$ is also an approximate unit for $A$. This permits removal of the non-degeneracy hypothesis from the definition of a Cartan MASA in the non-unital case. ","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135181019","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor 扩展了具有各向异性黏应力张量的可压缩流体的Hoff解框架以涵盖Navier-Stokes方程
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9559
Didier Bresch, Cosmin Burtea
{"title":"Extension of the Hoff solutions framework to cover Navier-Stokes equations for a compressible fluid with anisotropic viscous-stress tensor","authors":"Didier Bresch, Cosmin Burtea","doi":"10.1512/iumj.2023.72.9559","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9559","url":null,"abstract":"This paper deals with the Navier-Stokes system governing the evolution of a compressible barotropic fluid. We extend D. Hoff's intermediate regularity solutions framework by relaxing the integrability needed for the initial density which is usually assumed to be $L^{infty}$. By achieving this, we are able to take into account general fourth order symmetric viscous-stress tensors with coefficients depending smoothly on the time-space variables. More precisely, in space dimensions $d=2,3$, under periodic boundary conditions, considering a pressure law $p(rho)=arho^{gamma}$ whith $a>0$ respectively $gammageq d/(4-d)$) and under the assumption that the norms of the initial data $left( rho_{0}-M,u_{0}right) in L^{2gamma}left(mathbb{T}^{d}right) times(H^{1}(mathbb{T}^{d}))^{d}$ are sufficiently small, we are able to construct global weak solutions. Above, $M$ denotes the total mass of the fluid while $mathbb{T}$ with $d=2,3$ stands for periodic box. When comparing to the results known for the global weak solutions `{a} la Leray, i.e. constructed assuming only the basic energy bounds, we obtain a relaxed condition on the range of admissible adiabatic coefficients $gamma$.","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135503403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Spectral properties of weighted composition operators on Hol(mathbb{D}) induced by rotations 旋转诱导的Hol(mathbb{D})上加权复合算子的谱性质
2区 数学
Indiana University Mathematics Journal Pub Date : 2023-01-01 DOI: 10.1512/iumj.2023.72.9511
Wolfgang Arendt, Eddy Bernard, Benjamin Celaries, Isabelle Chalendar
{"title":"Spectral properties of weighted composition operators on Hol(mathbb{D}) induced by rotations","authors":"Wolfgang Arendt, Eddy Bernard, Benjamin Celaries, Isabelle Chalendar","doi":"10.1512/iumj.2023.72.9511","DOIUrl":"https://doi.org/10.1512/iumj.2023.72.9511","url":null,"abstract":"","PeriodicalId":50369,"journal":{"name":"Indiana University Mathematics Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135503406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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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