IF 1.3 2区数学

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-08-02 DOI: 10.1016/j.na.2025.113909

A. George Morgan

引用次数: 0

Boundary regularity for nonlocal elliptic equations over Reifenberg flat domains Reifenberg平面域上非局部椭圆方程的边界正则性

IF 1.3 2区数学

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-08-02 DOI: 10.1016/j.na.2025.113908

Adriano Prade

引用次数: 0

Fractional Chern–Simons–Higgs models on finite graphs via a topological degree approach 基于拓扑度方法的有限图分数阶chen - simons - higgs模型

IF 1.3 2区数学

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-08-02 DOI: 10.1016/j.na.2025.113910

Chunlian Liu , Ziyi Chen , Linfeng Wang

{"title":"Fractional Chern–Simons–Higgs models on finite graphs via a topological degree approach","authors":"Chunlian Liu , Ziyi Chen , Linfeng Wang","doi":"10.1016/j.na.2025.113910","DOIUrl":"10.1016/j.na.2025.113910","url":null,"abstract":"<div><div>We investigate the fractional Chern–Simons–Higgs models of the form <span><span><span><math><mrow><msup><mrow><mrow><mo>(</mo><mo>−</mo><mi>Δ</mi><mo>)</mo></mrow></mrow><mrow><mi>s</mi></mrow></msup><mi>u</mi><mo>=</mo><mi>λ</mi><msup><mrow><mi>e</mi></mrow><mrow><mi>u</mi></mrow></msup><msup><mrow><mrow><mo>(</mo><msup><mrow><mi>e</mi></mrow><mrow><mi>u</mi></mrow></msup><mo>−</mo><mn>1</mn><mo>)</mo></mrow></mrow><mrow><mn>2</mn><mi>p</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><mi>f</mi></mrow></math></span></span></span>on a connected finite graph, where <span><math><msup><mrow><mrow><mo>(</mo><mo>−</mo><mi>Δ</mi><mo>)</mo></mrow></mrow><mrow><mi>s</mi></mrow></msup></math></span> is the fractional Laplace operator, <span><math><mrow><mi>s</mi><mo>∈</mo><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></mrow></mrow></math></span>, <span><math><mi>λ</mi></math></span> is a real number, <span><math><mi>p</mi></math></span> is a non-negative integer, and <span><math><mi>f</mi></math></span> is a function on the graph. We focus on the fractional Laplace operator defined with heat kernels and employ the topological degree theory as our main tool. First, we prove that all solutions to fractional Chern–Simons–Higgs models are uniformly bounded. Second, we calculate the topological degree by discussing the existence of the solution to a homotopy equation case by case. As consequences, we obtain the existence results for the fractional Chern–Simons–Higgs models on a connected finite graph.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"261 ","pages":"Article 113910"},"PeriodicalIF":1.3,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144757566","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

Arboreal Galois groups of postcritically finite quadratic polynomials: The periodic case 后临界有限二次多项式的树伽罗瓦群：周期情况

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2025-08-02 DOI: 10.1112/jlms.70257

Robert L. Benedetto, Dragos Ghioca, Jamie Juul, Thomas J. Tucker

引用次数: 0

Full capacity–volumetry of sharp exp-integrability law 尖锐可积律的全容量-容量法

IF 1.2 2区数学

Journal of the London Mathematical Society-Second Series Pub Date : 2025-08-02 DOI: 10.1112/jlms.70255

David R. Adams, Jie Xiao

引用次数: 0

On nontrivial cross-t-intersecting families 关于非平凡的交叉交集族

IF 1.2 2区数学

Journal of Combinatorial Theory Series A Pub Date : 2025-08-01 DOI: 10.1016/j.jcta.2025.106095

Dongang He , Anshui Li , Biao Wu , Huajun Zhang

引用次数: 0

Self-tapping of a liquid crystal elastomer thin beam above a hot plate 液晶弹性体薄束在热板上的自攻

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-01 DOI: 10.1016/j.chaos.2025.116904

Yong Yu , Zheng Dai , Tianyu Li , Zhijian Wang , Honghao Ma , Kai Li

{"title":"Self-tapping of a liquid crystal elastomer thin beam above a hot plate","authors":"Yong Yu , Zheng Dai , Tianyu Li , Zhijian Wang , Honghao Ma , Kai Li","doi":"10.1016/j.chaos.2025.116904","DOIUrl":"10.1016/j.chaos.2025.116904","url":null,"abstract":"<div><div>Thermally-driven self-oscillating systems are able to absorb heat from the environment to maintain their own motion, and therefore have a wide range of applications in the fields of signal processing, robotics and energy harvester. Existing thermally-driven self-oscillating systems are always in contact with a hot surface or in a temperature field with a non-contacting heat source, which makes it difficult to dissipate heat quickly and limits the generation of high-frequency oscillations. By introducing intermittent contact with a hot plate, a self-tapping liquid crystal elastomer (LCE) thin beam is experimentally designed in this paper. Based on the existing mature dynamic LCE model, the theoretical model of the thermally-driven self-tapping LCE beam is established, and the mechanism of self-tapping is elucidated. Numerical calculations show that the system exists in two modes of motion: static mode and self-tapping mode, which is consistent with the experimental results. The LCE beam maintains its self-tapping by absorbing the thermal energy from the hot plate to compensate for the damping dissipation during its motion. In addition, the effects of several key parameters on the amplitude and frequency of self-tapping are investigated in detail. Specially, the frequency of self-tapping exceeds 7 Hz, originating from the rapid heat absorption when contacting the hot plate and the rapid heat dissipation in air. This self-tapping system has the advantages of high oscillation frequency, simple structure, flexible regulation, and stability, and has potential applications in practical application scenarios such as thermal sensors, energy capture and micro-robotics.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":""},"PeriodicalIF":5.6,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144748939","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

On weak double Roman domination in graphs 论图中的弱双罗马统治

IF 1 3区数学

Discrete Applied Mathematics Pub Date : 2025-08-01 DOI: 10.1016/j.dam.2025.07.019

S. Soltani , H. Abdollahzadeh Ahangar , M. Chellali , H. Rahbani , S.M. Sheikholeslami

引用次数: 0

Statistical properties and quantum nature of light in optical cavities combining second- and third-order nonlinearities 结合二阶和三阶非线性的光学腔中光的统计性质和量子性质

IF 5.6 1区数学

Chaos Solitons & Fractals Pub Date : 2025-08-01 DOI: 10.1016/j.chaos.2025.116915

H. Jabri , H. Eleuch

{"title":"Statistical properties and quantum nature of light in optical cavities combining second- and third-order nonlinearities","authors":"H. Jabri , H. Eleuch","doi":"10.1016/j.chaos.2025.116915","DOIUrl":"10.1016/j.chaos.2025.116915","url":null,"abstract":"<div><div>The squeezing of light is a typical quantum effect arising in nonlinear systems, which is of great importance for quantum sensors and other applications. We investigate a scheme consisting of an optical cavity containing a pair of coupled quantum wells through electronic tunneling. Nonlinear excitonic interactions in the direct and indirect exciton fields are considered. Further, the cavity interacts with an optical parametric oscillator which results in the injection of squeezed photons inside the cavity. We show that the excitonic density in the quantum wells is increased by the external squeezed source. By analytically solving the quantum Langevin equations in the frequency domain and optimizing the noise spectrum of the transmitted light, we show that indirect exciton nonlinearity produces a stronger squeezing than direct exciton nonlinearity. In all scenarios, incorporating the parametric oscillator significantly increase the degree of squeezing. The impact of the second-order nonlinearity is much more noticeable in the weak coupling regime compared to excitonic nonlinearity. Nevertheless, the nonlinearity of the exciton produces higher squeezing than the optical parametric oscillator when the strong coupling regime is reached. We found also that the squeezing effect manifests a high resistance and stability against the thermal baths, in particular in the weak coupling regime. The proposed scheme offers possible applications by significantly reducing noise in a specific frequency range in a compact device.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116915"},"PeriodicalIF":5.6,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750734","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

A criterion space search feasibility pump heuristic for solving maximum multiplicative programs 求解最大乘法规划的准则空间搜索可行性泵浦启发式

IF 1.6 4区数学

Discrete Optimization Pub Date : 2025-08-01 DOI: 10.1016/j.disopt.2025.100903

Ashim Khanal, Hadi Charkhgard

引用次数: 0

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