Journal de Mathematiques Pures et Appliquees最新文献_第5页

The wave function of stabilizer states and the Wehrl conjecture 稳定器状态的波函数与Wehrl猜想

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-07-21 DOI: 10.1016/j.matpur.2025.103778

Fabio Nicola

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Self-interacting approximation to McKean–Vlasov long-time limit: A Markov chain Monte Carlo method McKean-Vlasov时间极限的自相互作用逼近：一种马尔可夫链蒙特卡罗方法

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-08-28 DOI: 10.1016/j.matpur.2025.103782

Kai Du , Zhenjie Ren , Florin Suciu , Songbo Wang

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Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem Neumann谱问题中最优有利区域的渐近位置和形状

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-10-17 DOI: 10.1016/j.matpur.2025.103815

Lorenzo Ferreri , Dario Mazzoleni , Benedetta Pellacci , Gianmaria Verzini

{"title":"Asymptotic location and shape of the optimal favorable region in a Neumann spectral problem","authors":"Lorenzo Ferreri , Dario Mazzoleni , Benedetta Pellacci , Gianmaria Verzini","doi":"10.1016/j.matpur.2025.103815","DOIUrl":"10.1016/j.matpur.2025.103815","url":null,"abstract":"<div><div>We complete the study concerning the minimization of the positive principal eigenvalue associated with a weighted Neumann problem settled in a bounded regular domain <span><math><mi>Ω</mi><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mi>N</mi></mrow></msup></math></span>, <span><math><mi>N</mi><mo>≥</mo><mn>2</mn></math></span>, for the weight varying in a suitable class of sign-changing bounded functions. Denoting with <em>u</em> the optimal eigenfunction and with <em>D</em> its super-level set, corresponding to the positivity set of the optimal weight, we prove that, as the measure of <em>D</em> tends to zero, the unique maximum point of <em>u</em>, <span><math><mi>P</mi><mo>∈</mo><mo>∂</mo><mi>Ω</mi></math></span>, tends to a point of maximal mean curvature of ∂Ω. Furthermore, we show that <em>D</em> is the intersection with Ω of a <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn><mo>,</mo><mn>1</mn></mrow></msup></math></span> nearly spherical set, and we provide a quantitative estimate of the spherical asymmetry, which decays like a power of the measure of <em>D</em>.</div><div>These results provide, in the small volume regime, a fully detailed answer to some long-standing questions in this framework.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"205 ","pages":"Article 103815"},"PeriodicalIF":2.3,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145362039","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

Moduli spaces of parabolic bundles over P1 with five marked points P1上带五个标记点的抛物束的模空间

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-07-21 DOI: 10.1016/j.matpur.2025.103775

Zhi Hu , Pengfei Huang , Runhong Zong

引用次数: 0

Derivation of Hartree theory for two-dimensional attractive Bose gases in almost Gross–Pitaevskii regime 几乎Gross-Pitaevskii状态下二维吸引玻色气体Hartree理论的推导

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-10-01 DOI: 10.1016/j.matpur.2025.103800

Lukas Junge , François L.A. Visconti

引用次数: 0

A Hamilton-Jacobi approach to road-field reaction-diffusion models 道路-场地反应-扩散模型的Hamilton-Jacobi方法

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-09-12 DOI: 10.1016/j.matpur.2025.103798

Christopher Henderson , King-Yeung Lam

{"title":"A Hamilton-Jacobi approach to road-field reaction-diffusion models","authors":"Christopher Henderson , King-Yeung Lam","doi":"10.1016/j.matpur.2025.103798","DOIUrl":"10.1016/j.matpur.2025.103798","url":null,"abstract":"<div><div>We consider the road-field reaction-diffusion model introduced by Berestycki, Roquejoffre, and Rossi. By performing a “thin-front” limit, we are able to deduce a Hamilton-Jacobi equation with a suitable effective Hamiltonian on the road that governs the front location of the road-field model. Our main motivation is to apply the theory of strong (flux-limited) viscosity solutions in order to determine a control formulation interpretation of the front location. In view of the ecological meaning of the road-field model, this is natural as it casts the invasion problem as one of finding optimal paths that balance the positive growth rate in the field with the fast diffusion on the road.</div><div>Our main contribution is a nearly complete picture of the behavior on two-road conical domains. When the diffusivities on each road are the same, we show that the propagation speed in each direction in the cone can be computed via those associated with one-road half-space problem. When the diffusivities differ, we show that the speed along the faster road is unchanged, while the speed along the slower road can be enhanced. Along the way we provide a new proof of known results on the one-road half-space problem via our approach.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"205 ","pages":"Article 103798"},"PeriodicalIF":2.3,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145117576","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

Suppression of blow-up by local anisotropy of signal production in the Keller-Segel system Keller-Segel系统中信号产生的局部各向异性抑制爆破

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-09-12 DOI: 10.1016/j.matpur.2025.103795

Youshan Tao , Michael Winkler

引用次数: 0

Feedback stabilization for entropy solutions of a 2 × 2 hyperbolic system of conservation laws at a junction 2 × 2守恒定律双曲系统的熵解的反馈镇定

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-07-18 DOI: 10.1016/j.matpur.2025.103774

Giuseppe Maria Coclite , Nicola De Nitti , Mauro Garavello , Francesca Marcellini

引用次数: 0

On mean field games in infinite dimension 无限维的平均场对策

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-08-28 DOI: 10.1016/j.matpur.2025.103780

Salvatore Federico , Fausto Gozzi , Andrzej Święch

引用次数: 0

Backward-forward characterization of attainable set for conservation laws with spatially discontinuous flux 具有空间不连续通量的守恒定律可达集的后向前向表征

IF 2.3 1区数学

Journal de Mathematiques Pures et Appliquees Pub Date : 2026-01-01 Epub Date: 2025-10-17 DOI: 10.1016/j.matpur.2025.103814

Fabio Ancona , Luca Talamini

{"title":"Backward-forward characterization of attainable set for conservation laws with spatially discontinuous flux","authors":"Fabio Ancona , Luca Talamini","doi":"10.1016/j.matpur.2025.103814","DOIUrl":"10.1016/j.matpur.2025.103814","url":null,"abstract":"<div><div>Consider a scalar conservation law with a spatially discontinuous flux at a single point <span><math><mi>x</mi><mo>=</mo><mn>0</mn></math></span>, and assume that the flux is uniformly convex when <span><math><mi>x</mi><mo>≠</mo><mn>0</mn></math></span>. Given an interface connection <span><math><mo>(</mo><mi>A</mi><mo>,</mo><mi>B</mi><mo>)</mo></math></span>, we define a <em>backward</em> solution operator consistent with the concept of <em>AB</em>-entropy solution <span><span>[4]</span></span>, <span><span>[16]</span></span>, <span><span>[20]</span></span>. We then analyze the family <span><math><msup><mrow><mi>A</mi></mrow><mrow><mo>[</mo><mi>A</mi><mi>B</mi><mo>]</mo></mrow></msup><mo>(</mo><mi>T</mi><mo>)</mo></math></span> of profiles that can be attained at time <span><math><mi>T</mi><mo>></mo><mn>0</mn></math></span> by <em>AB</em>-entropy solutions with <span><math><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup></math></span>-initial data. We provide a characterization of <span><math><msup><mrow><mi>A</mi></mrow><mrow><mo>[</mo><mi>A</mi><mi>B</mi><mo>]</mo></mrow></msup><mo>(</mo><mi>T</mi><mo>)</mo></math></span> as fixed points of the <em>backward-forward</em> solution operator. As an intermediate step we establish for the first time a full characterization of <span><math><msup><mrow><mi>A</mi></mrow><mrow><mo>[</mo><mi>A</mi><mi>B</mi><mo>]</mo></mrow></msup><mo>(</mo><mi>T</mi><mo>)</mo></math></span> in terms of unilateral constraints and Oleı̌nik-type estimates, valid for all connections. Building on such a characterization we derive uniform BV bounds on the flux of <em>AB</em>-entropy solutions, which in turn yield the <span><math><msubsup><mrow><mi>L</mi></mrow><mrow><mi>loc</mi></mrow><mrow><mn>1</mn></mrow></msubsup></math></span>-Lipschitz continuity in time of these solutions.</div></div>","PeriodicalId":51071,"journal":{"name":"Journal de Mathematiques Pures et Appliquees","volume":"205 ","pages":"Article 103814"},"PeriodicalIF":2.3,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145362035","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