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

Cylindrical estimates for the Cheeger constant and applications

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2024.103633

Aldo Pratelli , Giorgio Saracco

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Local existence of solutions to 3D Prandtl equations with a special structure

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103670

Yuming Qin , Xiuqing Wang

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Formation of trapped surfaces in the Einstein-Yang-Mills system

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103661

Nikolaos Athanasiou , Puskar Mondal , Shing-Tung Yau

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Homogenization of non-autonomous evolution problems for convolution type operators in randomly evolving media

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103660

A. Piatnitski , E. Zhizhina

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Graph-to-local limit for the nonlocal interaction equation

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103663

Antonio Esposito , Georg Heinze , André Schlichting

{"title":"Graph-to-local limit for the nonlocal interaction equation","authors":"Antonio Esposito , Georg Heinze , André Schlichting","doi":"10.1016/j.matpur.2025.103663","DOIUrl":"10.1016/j.matpur.2025.103663","url":null,"abstract":"<div><div>We study a class of nonlocal partial differential equations presenting a tensor-mobility, in space, obtained asymptotically from nonlocal dynamics on localizing infinite graphs. Our strategy relies on the variational structure of both equations, being a Riemannian and Finslerian gradient flow, respectively. More precisely, we prove that weak solutions of the nonlocal interaction equation on graphs converge to weak solutions of the aforementioned class of nonlocal interaction equation with a tensor-mobility in the Euclidean space. This highlights an interesting property of the graph, being a potential space-discretization for the equation under study.</div><div><span>Résumé</span>. Nous étudions une classe d'équations aux dérivées partielles non locales présentant une mobilité tensorielle, dans l'espace, obtenue asymptotiquement à partir de dynamiques non locales sur des graphes infinis localisants. Notre stratégie repose sur la structure variationnelle des deux équations, qui sont respectivement un flot de gradients riemannien et finslérien. Plus précisément, nous prouvons que les solutions faibles de l'équation d'interaction non locale sur les graphes convergent vers des solutions faibles de la classe mentionnée d'équations d'interaction non locales avec une mobilité tensorielle dans l'espace euclidien. Cela met en évidence une propriété intéressante du graphe, à savoir une discrétisation spatiale potentielle pour l'équation étudiée.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"194 ","pages":"Article 103663"},"PeriodicalIF":2.1,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143147016","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}

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From transient elastic linkages to friction: A complete study of a penalized fourth order equation with delay

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103665

Vuk Milišić , Philippe Souplet

{"title":"From transient elastic linkages to friction: A complete study of a penalized fourth order equation with delay","authors":"Vuk Milišić , Philippe Souplet","doi":"10.1016/j.matpur.2025.103665","DOIUrl":"10.1016/j.matpur.2025.103665","url":null,"abstract":"<div><div><strong>(English)</strong> In this paper we consider a fourth order nonlinear parabolic delayed problem modeling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depends on a small parameter <em>ε</em> which represents a typical time scale of the memory effect. We first prove global existence and uniqueness of solutions for <em>ε</em> fixed. This is achieved by combining suitable fixed-point and energy arguments and by uncovering a nonlocal in time, conserved integral quantity. After giving a complete classification of steady states in terms of elliptic functions, we next show that every solution converges to a steady state as <span><math><mi>t</mi><mo>→</mo><mo>∞</mo></math></span>. When <span><math><mi>ε</mi><mo>→</mo><mn>0</mn></math></span>, we then establish convergence results on finite time intervals, showing that the solution tends in a suitable sense towards the solution of a parabolic problem without delay. Moreover, we establish the convergence of energies as <span><math><mi>ε</mi><mo>→</mo><mn>0</mn></math></span>, which enables us to show that, for <em>ε</em> small enough, the <em>ε</em>-dependent problem inherits part of the large time asymptotics of the limiting parabolic problem.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"194 ","pages":"Article 103665"},"PeriodicalIF":2.1,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143146972","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

Approximation and perturbations of stable solutions to a stationary mean field game system

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103666

Jules Berry , Olivier Ley , Francisco J. Silva

引用次数: 0

Bistable pulsating fronts in slowly oscillating one-dimensional environments

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103668

Weiwei Ding , François Hamel , Xing Liang

{"title":"Bistable pulsating fronts in slowly oscillating one-dimensional environments","authors":"Weiwei Ding , François Hamel , Xing Liang","doi":"10.1016/j.matpur.2025.103668","DOIUrl":"10.1016/j.matpur.2025.103668","url":null,"abstract":"<div><div>We consider reaction-diffusion fronts in spatially periodic bistable media with large periods. Whereas the homogenization regime associated with small periods had been well studied for bistable or Fisher-KPP reactions and, in the latter case, a formula for the limit minimal speeds of fronts in media with large periods had also been obtained thanks to the linear formulation of these minimal speeds and their monotonicity with respect to the period, the main remaining open question is concerned with fronts in bistable environments with large periods. In bistable media the unique front speeds are not linearly determined and are not monotone with respect to the spatial period in general, making the analysis of the limit of large periods more intricate. We show in this paper the existence of and an explicit formula for the limit of bistable front speeds as the spatial period goes to infinity. We also prove that the front profiles converge to a family of front profiles associated with spatially homogeneous equations. The main results are based on uniform estimates on the spatial width of the fronts, which themselves use zero number properties and intersection arguments.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"194 ","pages":"Article 103668"},"PeriodicalIF":2.1,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143146796","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

Uniform concentration property for Griffith almost-minimizers

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103667

Camille Labourie , Antoine Lemenant

引用次数: 0

On integral convexity, variational solutions and nonlinear semigroups

IF 2.1 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2025-02-01 DOI: 10.1016/j.matpur.2025.103662

Seonghak Kim , Baisheng Yan

{"title":"On integral convexity, variational solutions and nonlinear semigroups","authors":"Seonghak Kim , Baisheng Yan","doi":"10.1016/j.matpur.2025.103662","DOIUrl":"10.1016/j.matpur.2025.103662","url":null,"abstract":"<div><div>In this paper we provide a different approach for existence of the variational solutions of the gradient flows associated to functionals on Sobolev spaces studied in the paper by Bögelein et al. (2020) <span><span>[7]</span></span>. The crucial condition is the convexity of the functional under which we show that the variational solutions coincide with the solutions generated by the nonlinear semigroup associated to the functional. For integral functionals of the form <span><math><mi>F</mi><mo>(</mo><mi>u</mi><mo>)</mo><mo>=</mo><msub><mrow><mo>∫</mo></mrow><mrow><mi>Ω</mi></mrow></msub><mi>f</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>D</mi><mi>u</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>)</mo><mi>d</mi><mi>x</mi></math></span>, where <span><math><mi>f</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>ξ</mi><mo>)</mo></math></span> is <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> in <em>ξ</em>, we also make some remarks on the connections between convexity of <strong>F</strong> (called the integral convexity of <em>f</em>) and certain monotonicity conditions of the gradient map <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>ξ</mi></mrow></msub><mi>f</mi></math></span>. In particular, we provide an example to show that even for functions of the simple form <span><math><mi>f</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>ξ</mi><mo>)</mo></math></span>, the usual quasimonotonicity of <span><math><msub><mrow><mi>D</mi></mrow><mrow><mi>ξ</mi></mrow></msub><mi>f</mi></math></span> is not sufficient for the integral convexity of <em>f</em>.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"194 ","pages":"Article 103662"},"PeriodicalIF":2.1,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143146797","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