Journal de Mathematiques Pures et Appliquees最新文献_第2页

Gradient estimates for the insulated conductivity problem: The non-umbilical case 绝缘传导问题的梯度估计：非伞形情况

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.002

引用次数: 0

The asymptotics of the optimal holomorphic extensions of holomorphic jets along submanifolds 全形射流沿子曲率的最优全形扩展的渐近性

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.001

引用次数: 0

Exponential convergence of the weighted Birkhoff average 加权伯克霍夫平均数的指数收敛性

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.003

Zhicheng Tong , Yong Li

引用次数: 0

Classification of solutions to Hardy-Sobolev doubly critical systems Hardy-Sobolev 双临界系统解的分类

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.010

引用次数: 0

On the N-Cheeger problem for component-wise increasing norms 关于分量递增规范的 N-Cheeger 问题

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.008

引用次数: 0

Quantitative stability for overdetermined nonlocal problems with parallel surfaces and investigation of the stability exponents 平行面超定非局部问题的定量稳定性及稳定性指数研究

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.011

Serena Dipierro, Giorgio Poggesi, Jack Thompson, Enrico Valdinoci

引用次数: 0

Interacting many-particle systems in the random Kac–Luttinger model and proof of Bose–Einstein condensation 随机卡-鲁丁格模型中的相互作用多粒子系统和玻色-爱因斯坦凝聚的证明

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-25 DOI: 10.1016/j.matpur.2024.06.009

{"title":"Interacting many-particle systems in the random Kac–Luttinger model and proof of Bose–Einstein condensation","authors":"","doi":"10.1016/j.matpur.2024.06.009","DOIUrl":"10.1016/j.matpur.2024.06.009","url":null,"abstract":"<div>Following a model originally considered by Kac and Luttinger, we study interacting many-particle systems in a random background. The background consists of hard spherical obstacles with fixed radius and that are distributed via a Poisson point process with constant intensity on <math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math>, <math><mn>2</mn><mo>≤</mo><mi>d</mi><mo>∈</mo><mi>N</mi></math>. Interactions among the (bosonic) particles are described through repulsive pair potentials of mean-field type. As a main result, we prove (complete) Bose–Einstein condensation (BEC) in the thermodynamic limit and into the minimizer of a Hartree-type functional, in probability or with probability almost one depending on the strength of the interaction. As an important ingredient, we use very recent results obtained by Alain-Sol Sznitman regarding the spectral gap of the Dirichlet Laplacian in a Poissonian cloud of hard spherical obstacles in large boxes. To the best of our knowledge, our paper provides the first proof of BEC for systems of interacting particles in the Kac–Luttinger model, or in fact for some higher-dimensional interacting random continuum model.</div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141509415","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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

Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling 具有非线性几何耦合的流体-多孔弹性结构相互作用问题

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-06-22 DOI: 10.1016/j.matpur.2024.06.004

Jeffrey Kuan , Sunčica Čanić , Boris Muha

{"title":"Fluid-poroviscoelastic structure interaction problem with nonlinear geometric coupling","authors":"Jeffrey Kuan , Sunčica Čanić , Boris Muha","doi":"10.1016/j.matpur.2024.06.004","DOIUrl":"https://doi.org/10.1016/j.matpur.2024.06.004","url":null,"abstract":"<div>We investigate weak solutions to a fluid-structure interaction (FSI) problem between the flow of an incompressible, viscous fluid modeled by the Navier-Stokes equations, and a poroviscoelastic medium modeled by the Biot equations. These systems are coupled nonlinearly across an interface with mass and elastic energy, modeled by a reticular plate equation, which is transparent to fluid flow. We provide a constructive proof of the existence of a weak solution to a regularized problem. Next, a weak-classical consistency result is obtained, showing that the weak solution to the regularized problem converges, as the regularization parameter approaches zero, to a classical solution to the original problem, when such a classical solution exists. While the assumptions in the first step only require the Biot medium to be poroelastic, the second step requires additional regularity, namely, that the Biot medium is poroviscoelastic. This is the first weak solution existence result for an FSI problem with nonlinear coupling involving a Biot model for poro(visco)elastic media.</div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0021782424000795/pdfft?md5=70a266602197156445762335b45ea2b2&pid=1-s2.0-S0021782424000795-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141485815","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A relaxation viewpoint to Unbalanced Optimal Transport: Duality, optimality and Monge formulation 不平衡最优运输的松弛观点：对偶性、最优性和蒙日公式

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-05-28 DOI: 10.1016/j.matpur.2024.05.009

Giuseppe Savaré , Giacomo Enrico Sodini

引用次数: 0

Schatten properties of Calderón–Zygmund singular integral commutator on stratified Lie groups 分层李群上卡尔德龙-齐格蒙奇异积分换元器的沙腾特性

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2024-05-28 DOI: 10.1016/j.matpur.2024.05.013

Ji Li , Xiao Xiong , Fulin Yang

{"title":"Schatten properties of Calderón–Zygmund singular integral commutator on stratified Lie groups","authors":"Ji Li , Xiao Xiong , Fulin Yang","doi":"10.1016/j.matpur.2024.05.013","DOIUrl":"10.1016/j.matpur.2024.05.013","url":null,"abstract":"<div>We provide full characterization of the Schatten properties of <math><mo>[</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>b</mi></mrow></msub><mo>,</mo><mi>T</mi><mo>]</mo></math>, the commutator of Calderón–Zygmund singular integral T with symbol b <math><mo>(</mo><msub><mrow><mi>M</mi></mrow><mrow><mi>b</mi></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>:</mo><mo>=</mo><mi>b</mi><mo>(</mo><mi>x</mi><mo>)</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo></math> on stratified Lie groups <math><mi>G</mi></math>. We show that, when p is larger than the homogeneous dimension <math><mi>Q</mi></math> of <math><mi>G</mi></math>, the Schatten <math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math> norm of the commutator is equivalent to the Besov semi-norm <math><msubsup><mrow><mi>B</mi></mrow><mrow><mi>p</mi></mrow><mrow><mi>Q</mi><mo>/</mo><mi>p</mi></mrow></msubsup></math> of the function b; but when <math><mi>p</mi><mo>≤</mo><mi>Q</mi></math>, the commutator belongs to <math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math> if and only if b is a constant. For the endpoint case at the critical index <math><mi>p</mi><mo>=</mo><mi>Q</mi></math>, we further show that the Schatten <math><msub><mrow><mi>L</mi></mrow><mrow><mi>Q</mi><mo>,</mo><mo>∞</mo></mrow></msub></math> norm of the commutator is equivalent to the Sobolev norm <math><msup><mrow><mover><mrow><mi>W</mi></mrow><mrow><mo>˙</mo></mrow></mover></mrow><mrow><mn>1</mn><mo>,</mo><mi>Q</mi></mrow></msup></math> of b. Our method at the endpoint case differs from existing methods of Fourier transforms or trace formula for Euclidean spaces or Heisenberg groups, respectively, and hence can be applied to various settings beyond.</div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":null,"pages":null},"PeriodicalIF":2.3,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141190473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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