Nonlinear Analysis-Real World Applications最新文献_第7页

Multi-channel generalized average sampling and reconstruction over shift invariant spaces 平移不变空间上的多通道广义平均采样与重构

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-25 DOI: 10.1016/j.nonrwa.2025.104444

S. Yugesh , R.N. Mohapatra

引用次数: 0

Global center and limit cycles in generalized piecewise cubic Liénard systems 广义分段三次lisamadard系统的全局中心环和极限环

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-25 DOI: 10.1016/j.nonrwa.2025.104452

Ting Chen, Jianwei Peng

{"title":"Global center and limit cycles in generalized piecewise cubic Liénard systems","authors":"Ting Chen, Jianwei Peng","doi":"10.1016/j.nonrwa.2025.104452","DOIUrl":"10.1016/j.nonrwa.2025.104452","url":null,"abstract":"<div><div>This paper aims to investigate two classical problems related to global center conditions and bifurcation of small-amplitude limit cycles in piecewise Liénard systems of the form <span><math><mrow><mover><mrow><mi>x</mi></mrow><mrow><mo>̇</mo></mrow></mover><mo>=</mo><mi>y</mi><mo>−</mo><mi>F</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mover><mrow><mi>y</mi></mrow><mrow><mo>̇</mo></mrow></mover><mo>=</mo><mo>−</mo><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span>, where <span><math><mrow><mi>F</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>g</mi><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow></mrow></math></span> are both piecewise cubic polynomials. The explicit global center conditions at the origin are derived from this piecewise Liénard system. Furthermore, utilizing Poincaré-Lyapunov theory, the existence of nine limit cycles (isolate periodic solutions) around the origin is proved. As recognized to now, it is a new lower bound of the maximum number of limit cycles for such Liénard systems.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"87 ","pages":"Article 104452"},"PeriodicalIF":1.8,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144480882","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

Discontinuous Cucker–Smale model: Achieving flocking behavior through Filippov’s differential inclusion 不连续cucker - small模型：通过Filippov的差分包容实现群集行为

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-24 DOI: 10.1016/j.nonrwa.2025.104441

Hyunjin Ahn

引用次数: 0

On the existence of globally bounded solutions for a spatial Solow-Swan model with density-dependent motion 具有密度相关运动的空间Solow-Swan模型全局有界解的存在性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-23 DOI: 10.1016/j.nonrwa.2025.104453

Yingying Li, Kaiqiang Li, Liqiong Pu, Jiashan Zheng

引用次数: 0

Dynamics in a two-species system with common dynamical resources and general competition term 具有共同动态资源和一般竞争条件的两物种系统动力学

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-22 DOI: 10.1016/j.nonrwa.2025.104436

Jianping Gao , Changfeng Liu , Wenyan Lian

引用次数: 0

A remark on the regularity criterion for the Navier–Stokes equations in terms of one directional derivative of the velocity 关于速度单方向导数的Navier-Stokes方程正则性判据的注释

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-21 DOI: 10.1016/j.nonrwa.2025.104437

Zdenek Skalak

引用次数: 0

Global solvability of large initial data to three-dimensional compressible MHD equations with density-dependent viscosities 具有密度依赖粘度的三维可压缩MHD方程的大初始数据的全局可解性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-20 DOI: 10.1016/j.nonrwa.2025.104435

Jie Fan, Yongteng Gu, Xiangdi Huang

{"title":"Global solvability of large initial data to three-dimensional compressible MHD equations with density-dependent viscosities","authors":"Jie Fan, Yongteng Gu, Xiangdi Huang","doi":"10.1016/j.nonrwa.2025.104435","DOIUrl":"10.1016/j.nonrwa.2025.104435","url":null,"abstract":"<div><div>This paper studies the three-dimensional isentropic compressible magnetohydrodynamic equations with density-dependent viscosities, considering both the Cauchy problem and periodic problem. We prove that the strong solution exists globally provided that the initial density is large enough. This is a result that generalizes previous classical results which the solutions have small perturbations from the resting state. This result can also be seen as an extension of the results for Yu [<em>Math. Methods Appl. Sci.</em>, <strong>46</strong> (2023) 10123–10136] and Huang–Li–Zhang [arXiv:2408.04305, 2024], who established similar results for the compressible Navier–Stokes equations. At the same time, this article improves on Li–Lu–Shang’s recent result [arXiv:2408.04995, 2024] on the compressible MHD equations. The key idea of the proof is to establish an effective energy functional about density, velocity and magnetic field, which combines Huang–Li–Zhang’s article [arXiv:2408.04305, 2024] on the barotropic compressible Navier–Stokes equations with Fan–Gu–Huang’s techniques [<em>Discrete Contin. Dyn. Syst.</em>, <strong>45</strong> (2025) 2628–2649] on the non-homogeneous incompressible MHD equations.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"87 ","pages":"Article 104435"},"PeriodicalIF":1.8,"publicationDate":"2025-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144322712","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

Riemann boundary value problems for the Chaplygin gas outside a convex cornered wedge 凸角楔外Chaplygin气体的Riemann边值问题

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-18 DOI: 10.1016/j.nonrwa.2025.104433

Bingsong Long

引用次数: 0

Stability and bifurcation of a predator–prey model with variable search rate in advective environments 平流环境中具有变搜索率的捕食者-猎物模型的稳定性和分岔

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-12 DOI: 10.1016/j.nonrwa.2025.104423

Qiguo Qian, Weihua Jiang, Xun Cao

{"title":"Stability and bifurcation of a predator–prey model with variable search rate in advective environments","authors":"Qiguo Qian, Weihua Jiang, Xun Cao","doi":"10.1016/j.nonrwa.2025.104423","DOIUrl":"10.1016/j.nonrwa.2025.104423","url":null,"abstract":"<div><div>In this paper, we consider a predator–prey model with variable search rate in advective environments. First, by applying the variational expression of the principal eigenvalue, we analyze its continuity and monotonicity with respect to parameters, and combine techniques such as priori estimates and comparison principle to obtain the global asymptotic stability of trivial and semi-trivial steady-state solutions. The complete classification of long time dynamic behaviors of the system is conducted using advection rate <span><math><mi>q</mi></math></span> and half-saturation constant <span><math><mi>g</mi></math></span> which is used to reflect the magnitude of search rate as parameters. Moreover, owing to the properties of the principal eigenvalue and principal eigenfunction, we establish the local existence and stability of the positive steady state, as well as the global existence, through bifurcation theory and persistence theory, respectively. Furthermore, for such non-monotone system with advective term and nonlinear functional response, we prove that it exhibits a unique spatially inhomogeneous positive steady state for a small advection rate when the predator has an intermediate search rate. More interestingly, we observe complex phenomena, including spatially inhomogeneous periodic solution, and find that both prey and predator tend to move towards the middle of the river when the search rate is large.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"87 ","pages":"Article 104423"},"PeriodicalIF":1.8,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144270758","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

The existence and uniqueness of positive steady states of a general predator–prey system in advective environments 平流环境下一般捕食-食饵系统正稳态的存在性和唯一性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2025-06-10 DOI: 10.1016/j.nonrwa.2025.104422

Anqi Qu , Jinfeng Wang , Xuelian Xu

引用次数: 0