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Exponential stability for an infinite memory wave equation with frictional damping and logarithmic nonlinear terms 具有摩擦阻尼和对数非线性项的无限记忆波方程的指数稳定性
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-08-06 DOI: 10.1016/j.nonrwa.2025.104470
Qingqing Peng , Yikan Liu
{"title":"Exponential stability for an infinite memory wave equation with frictional damping and logarithmic nonlinear terms","authors":"Qingqing Peng ,&nbsp;Yikan Liu","doi":"10.1016/j.nonrwa.2025.104470","DOIUrl":"10.1016/j.nonrwa.2025.104470","url":null,"abstract":"<div><div>This article is concerned with the energy decay of an infinite memory wave equation with a logarithmic nonlinear term and a frictional damping term. The problem is formulated in a bounded domain in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span> (<span><math><mrow><mi>d</mi><mo>≥</mo><mn>3</mn></mrow></math></span>) with a smooth boundary, on which we prescribe a mixed boundary condition of the Dirichlet and the acoustic types. We establish an exponential decay result for the energy with a general material density <span><math><mrow><mi>ρ</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> under certain assumptions on the involved coefficients. The proof is based on a contradiction argument, the multiplier method and some microlocal analysis techniques. In addition, if <span><math><mrow><mi>ρ</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> takes a special form, our result even holds without the damping effect, that is, the infinite memory effect alone is strong enough to guarantee the exponential stability of the system.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104470"},"PeriodicalIF":1.8,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Global and non-global center conditions of generalized Liénard systems 广义lisamadard系统的全局和非全局中心条件
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-08-06 DOI: 10.1016/j.nonrwa.2025.104474
Maoan Han , Ci Kong , Pei Yu
{"title":"Global and non-global center conditions of generalized Liénard systems","authors":"Maoan Han ,&nbsp;Ci Kong ,&nbsp;Pei Yu","doi":"10.1016/j.nonrwa.2025.104474","DOIUrl":"10.1016/j.nonrwa.2025.104474","url":null,"abstract":"<div><div>In this paper, we study global dynamics of generalized Liénard systems, and establish the necessary and sufficient conditions for generalized polynomial Liénard systems to have a center, a global center and an unbounded non-global center, respectively. As a corollary, we improve some known results and confirm a conjecture on global center conditions of a polynomial Liénard system.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104474"},"PeriodicalIF":1.8,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780441","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
A nonlinear Caputo-type coupled fractional differential system with a new class of coupled multi-point closed boundary conditions 具有一类新的耦合多点封闭边界条件的非线性caputo型耦合分数阶微分系统
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-08-06 DOI: 10.1016/j.nonrwa.2025.104469
Bashir Ahmad , Muhammed Aldhuain , Ahmed Alsaedi
{"title":"A nonlinear Caputo-type coupled fractional differential system with a new class of coupled multi-point closed boundary conditions","authors":"Bashir Ahmad ,&nbsp;Muhammed Aldhuain ,&nbsp;Ahmed Alsaedi","doi":"10.1016/j.nonrwa.2025.104469","DOIUrl":"10.1016/j.nonrwa.2025.104469","url":null,"abstract":"<div><div>In this paper, we investigate the existence of solutions for a nonlinear Caputo-type coupled fractional differential system equipped with a new class of multi-point coupled closed boundary conditions. We apply the tools of fixed-point theory to establish the desired results. It is imperative to mention that the idea of multi-point coupled closed boundary conditions is useful in view of its occurrence in many physical situations such as honeycomb lattice, deblurring problems, magneto-electro-elastic cylindrical composite panel, etc. On the other hand, the nonlinear Caputo-type coupled fractional differential systems appear in the mathematical modeling of several real-world phenomena like fractional diffusion, immunology, infectious diseases, chaotic synchronization, neural networks to name a few. It is expected that the research conducted on the given topic will be useful from theoretical as well as application perspective of fractional boundary value problems.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104469"},"PeriodicalIF":1.8,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144780440","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Invasion waves for a class of multi-species non-cooperative systems with nonlocal dispersal 一类具有非局部扩散的多物种非合作系统的入侵波
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-08-05 DOI: 10.1016/j.nonrwa.2025.104471
Wan-Tong Li, Juan Qiu, Ming-Zhen Xin, Xu-Dong Zhao
{"title":"Invasion waves for a class of multi-species non-cooperative systems with nonlocal dispersal","authors":"Wan-Tong Li,&nbsp;Juan Qiu,&nbsp;Ming-Zhen Xin,&nbsp;Xu-Dong Zhao","doi":"10.1016/j.nonrwa.2025.104471","DOIUrl":"10.1016/j.nonrwa.2025.104471","url":null,"abstract":"<div><div>This paper is concerned with the invasion waves for a class of multi-species non-cooperative systems with nonlocal dispersal. We first establish a sharp existence result of the weak traveling wave solution connected the semi-trivial equilibrium for a general multi-species nonlocal dispersal system by Schauder’s fixed-point theorem. And then we apply this result to discuss the traveling wave solutions for a disease-transmission model and a predator–prey model respectively, where we prove that the weak traveling wave solutions connect the positive equilibrium with the help of Lyapunov functional. To get the asymptotic behavior of traveling wave solutions at <span><math><mrow><mo>+</mo><mi>∞</mi></mrow></math></span>, we have to overcome the difficulties brought by the nonlocal dispersal and the non-cooperative of systems themselves.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104471"},"PeriodicalIF":1.8,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144772650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Stabilities of the background perturbations for compressible Navier–Stokes equations 可压缩Navier-Stokes方程背景扰动的稳定性
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-08-05 DOI: 10.1016/j.nonrwa.2025.104472
Shijin Deng , Xiaochun Yang
{"title":"Stabilities of the background perturbations for compressible Navier–Stokes equations","authors":"Shijin Deng ,&nbsp;Xiaochun Yang","doi":"10.1016/j.nonrwa.2025.104472","DOIUrl":"10.1016/j.nonrwa.2025.104472","url":null,"abstract":"<div><div>In this paper, we compare two solutions for the compressible Navier–Stokes equations in dimension <span><math><mrow><mi>n</mi><mo>=</mo><mn>2</mn></mrow></math></span> or 3 where the corresponding initial functions are small perturbations around two nearby background states <span><math><mrow><msub><mrow><mover><mrow><mi>F</mi></mrow><mo>→</mo></mover></mrow><mrow><mi>α</mi></mrow></msub><mrow><mo>(</mo><mi>α</mi><mo>=</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>)</mo></mrow></mrow></math></span> respectively. We prove that the difference of those two solutions is continuously dependent on the difference <span><math><mrow><mo>|</mo><msub><mrow><mover><mrow><mi>F</mi></mrow><mo>→</mo></mover></mrow><mrow><mi>b</mi></mrow></msub><mo>−</mo><msub><mrow><mover><mrow><mi>F</mi></mrow><mo>→</mo></mover></mrow><mrow><mi>a</mi></mrow></msub><mo>|</mo></mrow></math></span> of two background states and also give an optimal asymptotic estimate in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span> norm in this comparison setting by the refined Green’s function method and also the refined energy method.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104472"},"PeriodicalIF":1.8,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144772653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 and addendum to “On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model” [Nonlinear Analysis: RWA 67 (2022) 103561] “关于准线性正则化MEMS模型的分岔曲线的分类和演变”的更正和附录[非线性分析：RWA 67 (2022) 103561]
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-08-05 DOI: 10.1016/j.nonrwa.2025.104438
Yuhan Liang, Hongjing Pan
{"title":"Corrigendum and addendum to “On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model” [Nonlinear Analysis: RWA 67 (2022) 103561]","authors":"Yuhan Liang,&nbsp;Hongjing Pan","doi":"10.1016/j.nonrwa.2025.104438","DOIUrl":"10.1016/j.nonrwa.2025.104438","url":null,"abstract":"<div><div>We correct an error that appeared in our paper “On the classification and evolution of bifurcation curves for a quasilinear regularized MEMS model” [Nonlinear Analysis: RWA 67 (2022) No. 103561]. We also revise and add several lemmas, which discover new features of global bifurcation curves and the time-map.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"87 ","pages":"Article 104438"},"PeriodicalIF":1.8,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144913988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Existence and uniqueness of time-periodic solutions to the Oberbeck–Boussinesq system Oberbeck-Boussinesq系统时间周期解的存在唯一性
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-07-29 DOI: 10.1016/j.nonrwa.2025.104461
Tomoyuki Nakatsuka
{"title":"Existence and uniqueness of time-periodic solutions to the Oberbeck–Boussinesq system","authors":"Tomoyuki Nakatsuka","doi":"10.1016/j.nonrwa.2025.104461","DOIUrl":"10.1016/j.nonrwa.2025.104461","url":null,"abstract":"<div><div>This paper is devoted to the study of the time-periodic problem for the Oberbeck–Boussinesq system in the whole space. Our investigation is based on the reformulation of the time-periodic problem and does not depend on the analysis of the initial value problem. We construct a time-periodic solution with more information on its structure than the solutions in preceding studies. We also prove that our solution, small in an appropriate sense, is unique in the class of solutions having slightly more regularity.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104461"},"PeriodicalIF":1.8,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722113","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Steady states of the spherically symmetric Vlasov-Poisson system as fixed points of a mass-preserving algorithm 球对称Vlasov-Poisson系统作为质量保持算法不动点的稳态
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-07-26 DOI: 10.1016/j.nonrwa.2025.104467
Håkan Andréasson , Markus Kunze , Gerhard Rein
{"title":"Steady states of the spherically symmetric Vlasov-Poisson system as fixed points of a mass-preserving algorithm","authors":"Håkan Andréasson ,&nbsp;Markus Kunze ,&nbsp;Gerhard Rein","doi":"10.1016/j.nonrwa.2025.104467","DOIUrl":"10.1016/j.nonrwa.2025.104467","url":null,"abstract":"<div><div>We give a new proof for the existence of spherically symmetric steady states to the Vlasov-Poisson system, following a strategy that has been used successfully to approximate axially symmetric solutions numerically, both to the Vlasov–Poisson system and to the Einstein–Vlasov system. There are several reasons why a mathematical analysis of this numerical scheme is important. A generalization of the present result to the case of flat axially symmetric solutions would prove that the steady states obtained numerically in Andréasson and Rein (2015) do exist. Moreover, in the relativistic case the question whether a steady state can be obtained by this scheme seems to be related to its dynamical stability. This motivates the desire for a deeper understanding of this strategy.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104467"},"PeriodicalIF":1.8,"publicationDate":"2025-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144713222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Stability of planar stationary solution for outflow problem on the viscous vasculogenesis model 粘性血管生成模型流出问题平面固定解的稳定性
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-07-25 DOI: 10.1016/j.nonrwa.2025.104459
Wenwen Fu, Qingqing Liu
{"title":"Stability of planar stationary solution for outflow problem on the viscous vasculogenesis model","authors":"Wenwen Fu,&nbsp;Qingqing Liu","doi":"10.1016/j.nonrwa.2025.104459","DOIUrl":"10.1016/j.nonrwa.2025.104459","url":null,"abstract":"<div><div>In this paper, we are concerned with a hyperbolic–parabolic–elliptic vasculogenesis model in the half-space <span><math><msubsup><mrow><mi>R</mi></mrow><mrow><mo>+</mo></mrow><mrow><mn>3</mn></mrow></msubsup></math></span> under outflow boundary conditions. It is shown that the planar stationary solution is stable with respect to small perturbations in <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> and the perturbations decay in <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msup></math></span> norm as <span><math><mrow><mi>t</mi><mo>→</mo><mi>∞</mi></mrow></math></span>, provided that the magnitude of the stationary solution is sufficiently small. This result is proved by basic energy estimates. Compared with Navier–Stokes equations, we have effectively dealt with the coupling between the fluid quantities and chemoattractant in the vasculogenesis model.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104459"},"PeriodicalIF":1.8,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Extension criterion on the 3D Navier–Stokes equations via partial components in Besov space 三维Navier-Stokes方程在Besov空间的偏分量扩展准则
IF 1.8 3区 数学
Nonlinear Analysis-Real World Applications Pub Date : 2025-07-25 DOI: 10.1016/j.nonrwa.2025.104458
Koji Kanazawa , Hideo Kozono
{"title":"Extension criterion on the 3D Navier–Stokes equations via partial components in Besov space","authors":"Koji Kanazawa ,&nbsp;Hideo Kozono","doi":"10.1016/j.nonrwa.2025.104458","DOIUrl":"10.1016/j.nonrwa.2025.104458","url":null,"abstract":"<div><div>We find a new extension criterion on the 3D Navier–Stokes equations in terms of horizontal derivatives of the two velocity components in Besov spaces. We shall apply our extension theorem to regularity criterion on weak solutions. Our results generalize the results in the Morrey–Campanato space and Triebel–Lizorkin space by Chen and Gala (2011) and Wei and Li (2014), respectively.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"88 ","pages":"Article 104458"},"PeriodicalIF":1.8,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144703762","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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