Journal of Differential Equations最新文献_第4页

Global bifurcation in symmetric systems of nonlinear wave equations 非线性波动方程对称系统的全局分岔

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-10 DOI: 10.1016/j.jde.2025.113600

Carlos García-Azpeitia , Ziad Ghanem , Wiesław Krawcewicz

引用次数: 0

Sample path properties and small ball probabilities for stochastic fractional diffusion equations 随机分数扩散方程的样本路径性质和小球概率

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-09 DOI: 10.1016/j.jde.2025.113604

Yuhui Guo , Jian Song , Ran Wang , Yimin Xiao

引用次数: 0

Inverse scattering problem for operators with a finite-dimensional non-local potential 有限维非局域势算子的逆散射问题

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-09 DOI: 10.1016/j.jde.2025.113606

V.A. Zolotarev

引用次数: 0

Compact embeddings of Sobolev, Besov, and Triebel–Lizorkin spaces Sobolev， Besov和triiebel - lizorkin空间的紧嵌入

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-09 DOI: 10.1016/j.jde.2025.113598

Ryan Alvarado , Przemysław Górka , Artur Słabuszewski

引用次数: 0

Uniqueness & weak-BV stability in the large for isothermal gas dynamics 等温气体动力学的唯一性和弱bv稳定性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-08 DOI: 10.1016/j.jde.2025.113599

Jeffrey Cheng

引用次数: 0

Principal eigenvalue theory of nonlocal dispersal cooperative systems in unbounded domains and applications 无界域非局部分散合作系统的主特征值理论及其应用

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-07 DOI: 10.1016/j.jde.2025.113592

Hao Wu, Yan-Xia Feng, Wan-Tong Li, Jian-Wen Sun

引用次数: 0

Wavefronts for a degenerate reaction-diffusion system with application to bacterial growth models 简并反应扩散系统的波前及其在细菌生长模型中的应用

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-07 DOI: 10.1016/j.jde.2025.113593

Luisa Malaguti, Elisa Sovrano

{"title":"Wavefronts for a degenerate reaction-diffusion system with application to bacterial growth models","authors":"Luisa Malaguti, Elisa Sovrano","doi":"10.1016/j.jde.2025.113593","DOIUrl":"10.1016/j.jde.2025.113593","url":null,"abstract":"<div><div>We investigate wavefront solutions in a nonlinear system of two coupled reaction-diffusion equations with degenerate diffusivity:<span><span><span><math><msub><mrow><mi>n</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>=</mo><msub><mrow><mi>n</mi></mrow><mrow><mi>x</mi><mi>x</mi></mrow></msub><mo>−</mo><mi>n</mi><mi>b</mi><mo>,</mo><mspace></mspace><msub><mrow><mi>b</mi></mrow><mrow><mi>t</mi></mrow></msub><mo>=</mo><msub><mrow><mo>[</mo><mi>D</mi><mi>n</mi><mi>b</mi><msub><mrow><mi>b</mi></mrow><mrow><mi>x</mi></mrow></msub><mo>]</mo></mrow><mrow><mi>x</mi></mrow></msub><mo>+</mo><mi>n</mi><mi>b</mi><mo>,</mo></math></span></span></span> where <span><math><mi>t</mi><mo>≥</mo><mn>0</mn></math></span>, <span><math><mi>x</mi><mo>∈</mo><mi>R</mi></math></span>, and <em>D</em> is a positive diffusion coefficient. This model, introduced by Kawasaki et al. (1997) <span><span>[3]</span></span>, describes the spatial-temporal dynamics of bacterial colonies <span><math><mi>b</mi><mo>=</mo><mi>b</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></math></span> and nutrients <span><math><mi>n</mi><mo>=</mo><mi>n</mi><mo>(</mo><mi>x</mi><mo>,</mo><mi>t</mi><mo>)</mo></math></span> on agar plates. While Kawasaki et al. provided numerical evidence for wavefronts, analytical confirmation remained an open problem. We prove the existence of an infinite family of wavefronts parameterized by their wave speed, which varies on a closed positive half-line. We provide an upper bound for the threshold speed and a lower bound for it when <em>D</em> is sufficiently large. The proofs are based on several analytical tools, including the shooting method and the fixed-point theory in Fréchet spaces, to establish existence, and the central manifold theorem to ascertain uniqueness.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"444 ","pages":"Article 113593"},"PeriodicalIF":2.4,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144570047","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

Corrigendum to “Periodic solutions for nonlinear systems of Ode's with generalized variable exponents operators” [J. Differ. Equ. 388 (2024) 34–58] “具有广义变指数算子的非线性Ode系统的周期解”[J]。是不同的。方程388 (2024)34-58]

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-07 DOI: 10.1016/j.jde.2025.113601

Marta García-Huidobro , Raúl Manásevich , Jean Mawhin , Satoshi Tanaka

引用次数: 0

Global existence for multi-dimensional partially diffusive systems 多维部分扩散系统的整体存在性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-07 DOI: 10.1016/j.jde.2025.113596

Jean-Paul Adogbo, Raphäel Danchin

{"title":"Global existence for multi-dimensional partially diffusive systems","authors":"Jean-Paul Adogbo, Raphäel Danchin","doi":"10.1016/j.jde.2025.113596","DOIUrl":"10.1016/j.jde.2025.113596","url":null,"abstract":"<div><div>In this work, we explore the global existence of strong solutions for a class of partially diffusive hyperbolic systems within the framework of critical homogeneous Besov spaces. Our objective is twofold: first, to extend our recent findings on the local existence presented in <span><span>[1]</span></span>, and second, to refine and enhance the analysis of Kawashima <span><span>[15]</span></span>.</div><div>To address the distinct behaviors of low and high frequency regimes, we employ a hybrid Besov norm approach that incorporates different regularity exponents for each regime. This allows us to meticulously analyze the interactions between these regimes, which exhibit fundamentally different dynamics.</div><div>A significant part of our methodology is based on the study of a Lyapunov functional, inspired by the work of Beauchard and Zuazua <span><span>[3]</span></span> and recent contributions <span><span>[8]</span></span>, <span><span>[7]</span></span>, <span><span>[6]</span></span>. To effectively handle the high-frequency components, we introduce a parabolic mode with better smoothing properties, which plays a central role in our analysis.</div><div>Our results are particularly relevant for important physical systems, such as the magnetohydrodynamics (MHD) system and the barotropic compressible Navier-Stokes equations.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"445 ","pages":"Article 113596"},"PeriodicalIF":2.4,"publicationDate":"2025-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571186","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

Normalized solutions to quasilinear problems involving Born-Infeld-type operators 涉及born - infeld型算子的拟线性问题的归一化解

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-07-07 DOI: 10.1016/j.jde.2025.113595

Laura Baldelli , Jarosław Mederski , Alessio Pomponio

引用次数: 0