Journal of Differential Equations最新文献_第8页

Qualitative analysis for Hartree-Fock system with Hardy-Littlewood-Sobolev critical exponent 具有Hardy-Littlewood-Sobolev临界指数的Hartree-Fock系统的定性分析

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-20 DOI: 10.1016/j.jde.2025.113565

Meng Li , Haoyuan Xu , Meihua Yang , Maoding Zhen

引用次数: 0

Small normalised solutions for a Schrödinger-Poisson system in expanding domains: Multiplicity and asymptotic behaviour 扩展域上Schrödinger-Poisson系统的小正则化解：多重性和渐近行为

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-20 DOI: 10.1016/j.jde.2025.113571

Edwin Gonzalo Murcia , Gaetano Siciliano

引用次数: 0

Multiple normalized solutions for Schrödinger-Maxwell equation with Sobolev critical exponent and mixed nonlinearities 具有Sobolev临界指数和混合非线性的Schrödinger-Maxwell方程的多重归一化解

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-20 DOI: 10.1016/j.jde.2025.113564

Jin-Cai Kang , Yong-Yong Li , Chun-Lei Tang

引用次数: 0

The upper semi-continuity of random attractors to the stochastic evolution equations driven by rough path with Hurst index H∈(13,12] Hurst指数H∈(13,12)的粗糙路径驱动随机进化方程的随机吸引子的上半连续性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-19 DOI: 10.1016/j.jde.2025.113552

Qiyong Cao, Hongjun Gao

引用次数: 0

Asymptotic stability of sharp fronts: Analysis and rigorous computation 尖锐锋面的渐近稳定性：分析与严格计算

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-19 DOI: 10.1016/j.jde.2025.113550

Blake Barker , Jared C. Bronski , Vera Mikyoung Hur , Zhao Yang

{"title":"Asymptotic stability of sharp fronts: Analysis and rigorous computation","authors":"Blake Barker , Jared C. Bronski , Vera Mikyoung Hur , Zhao Yang","doi":"10.1016/j.jde.2025.113550","DOIUrl":"10.1016/j.jde.2025.113550","url":null,"abstract":"<div><div>We investigate the stability of traveling front solutions to nonlinear diffusive-dispersive equations of Burgers type, with a primary focus on the Korteweg-de Vries–Burgers (KdVB) equation, although our analytical findings extend more broadly. Manipulating the temporal modulation of the translation parameter of the front and employing the energy method, we establish asymptotic, nonlinear, and orbital stability, provided that an auxiliary Schrödinger equation possesses precisely one bound state. Notably, our result is independent of the monotonicity of the profile and does not necessitate the initial condition to be close to the front. We identify a sufficient condition for stability based on a functional that characterizes the ‘width’ of the traveling wave profile. Analytical verification for the KdVB equation confirms that this sufficient condition holds for the relative dispersion parameter within an open interval <span><math><mo>⊃</mo><mo>[</mo><mo>−</mo><mn>0.25</mn><mo>,</mo><mn>0.25</mn><mo>]</mo></math></span>, encompassing all monotone profiles. Utilizing validated numerics or rigorous computation, we present a computer-assisted proof demonstrating that the stability condition itself holds for parameter values within the interval <span><math><mo>[</mo><mn>0.2533</mn><mo>,</mo><mn>3.9</mn><mo>]</mo></math></span>.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"444 ","pages":"Article 113550"},"PeriodicalIF":2.4,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144312767","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

Symmetry breaking bifurcation and the stability of stationary solutions of a phase-field model 相场模型的对称破缺分岔与稳态解的稳定性

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-18 DOI: 10.1016/j.jde.2025.113500

Yasuhito Miyamoto , Tatsuki Mori , Sohei Tasaki , Tohru Tsujikawa , Shoji Yotsutani

引用次数: 0

Global existence and optimal decay rates of strong solutions to the equilibrium diffusion model arising in radiation hydrodynamics 辐射流体动力学中平衡扩散模型强解的整体存在性和最优衰减率

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-18 DOI: 10.1016/j.jde.2025.113557

Peng Jiang , Fucai Li , Jinkai Ni

{"title":"Global existence and optimal decay rates of strong solutions to the equilibrium diffusion model arising in radiation hydrodynamics","authors":"Peng Jiang , Fucai Li , Jinkai Ni","doi":"10.1016/j.jde.2025.113557","DOIUrl":"10.1016/j.jde.2025.113557","url":null,"abstract":"<div><div>In this paper, we investigate the global existence and optimal decay rates of strong solutions in the critical Sobolev space <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup><mo>)</mo></math></span> to the equilibrium diffusion model arising in radiation hydrodynamics. This model is composed of the full compressible Navier-Stokes equations with radiation diffusion terms. Assuming that the initial data <span><math><mo>(</mo><msub><mrow><mi>n</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>,</mo><msub><mrow><mi>u</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>,</mo><msub><mrow><mi>θ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>)</mo></math></span> is sufficiently small in <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm, we establish the global existence of strong solutions near the equilibrium state <span><math><mo>(</mo><mn>1</mn><mo>,</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math></span> by applying the refined energy method. Then, by performing Fourier analysis techniques and exploiting the frequency decomposition method, we get the optimal time-decay rates of strong solutions (including the highest order spatial derivatives) in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm. In particular, the lower bound of time-decay rates of strong solutions is also obtained by making use of Hodge decomposition, delicate spectral analysis and the theory of Besov space. In addition, we obtain the exponential decay of strong solutions in the periodic domain case.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"443 ","pages":"Article 113557"},"PeriodicalIF":2.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144307522","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

The Gierer-Meinhardt system in the entire space with non-local proliferation rates 具有非局部扩散率的整个空间中的Gierer-Meinhardt系统

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-18 DOI: 10.1016/j.jde.2025.113559

Marius Ghergu , Nikos I. Kavallaris , Yasuhito Miyamoto

引用次数: 0

Long-time behaviors of some stochastic differential equations driven by Lévy noise 由lsamvy噪声驱动的随机微分方程的长时间行为

IF 2.4 2区数学

Journal of Differential Equations Pub Date : 2025-06-16 DOI: 10.1016/j.jde.2025.113561

I. Orlovskyi , F. Proske , O. Tymoshenko

引用次数: 0

Uniqueness of weak solutions to the primitive equations in some anisotropic spaces 各向异性空间中原始方程弱解的唯一性