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A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures 板结构随机响应分析的GFDM-DPIM混合求解器
IF 2.9 2区 数学
Computers & Mathematics with Applications Pub Date : 2025-07-03 DOI: 10.1016/j.camwa.2025.06.017
Yangfan Cao , Hanshu Chen , Jakub Krzysztof Grabski , Zhuojia Fu
{"title":"A hybrid GFDM-DPIM solver for the stochastic response analysis of plate structures","authors":"Yangfan Cao ,&nbsp;Hanshu Chen ,&nbsp;Jakub Krzysztof Grabski ,&nbsp;Zhuojia Fu","doi":"10.1016/j.camwa.2025.06.017","DOIUrl":"10.1016/j.camwa.2025.06.017","url":null,"abstract":"<div><div>In recent years, meshless collocation methods have become an attractive alternative for problems in the field of computational mechanics, but the studies on stochastic response analysis based on these methods are still not enough. In this paper, a novel solver for the stochastic response analysis is proposed by combining the generalized finite difference method (GFDM), a popular meshless collocation method, with the direct probability integral method (DPIM), which is a hybrid GFDM-DPIM solver. This solver uses GFDM to calculate the physical response of the structure and DPIM to obtain the probability density function of the response. Simple form and wide application range are the outstanding advantages of this solver. The effectiveness and accuracy of the proposed solver are validated through three examples involving plate structures, with results compared against those obtained through Monte Carlo Simulation.</div></div>","PeriodicalId":55218,"journal":{"name":"Computers & Mathematics with Applications","volume":"194 ","pages":"Pages 316-334"},"PeriodicalIF":2.9,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144535415","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
Fractional distortion in hyperbolic groups 双曲群中的分数畸变
IF 1.5 1区 数学
Advances in Mathematics Pub Date : 2025-07-03 DOI: 10.1016/j.aim.2025.110418
Pallavi Dani , Timothy Riley
{"title":"Fractional distortion in hyperbolic groups","authors":"Pallavi Dani ,&nbsp;Timothy Riley","doi":"10.1016/j.aim.2025.110418","DOIUrl":"10.1016/j.aim.2025.110418","url":null,"abstract":"<div><div>For all integers <span><math><mi>p</mi><mo>&gt;</mo><mi>q</mi><mo>&gt;</mo><mn>0</mn></math></span> and <span><math><mi>k</mi><mo>&gt;</mo><mn>0</mn></math></span>, and all non-elementary torsion-free hyperbolic groups <em>H</em>, we construct a hyperbolic group <em>G</em> in which <em>H</em> is a subgroup, such that the distortion function of <em>H</em> in <em>G</em> grows like <span><math><msup><mrow><mi>exp</mi></mrow><mrow><mi>k</mi></mrow></msup><mo>⁡</mo><mo>(</mo><msup><mrow><mi>n</mi></mrow><mrow><mi>p</mi><mo>/</mo><mi>q</mi></mrow></msup><mo>)</mo></math></span>. Here, <span><math><msup><mrow><mi>exp</mi></mrow><mrow><mi>k</mi></mrow></msup></math></span> denotes the <em>k</em>-fold-iterated exponential function.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"479 ","pages":"Article 110418"},"PeriodicalIF":1.5,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534867","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
An identifying operation on a 1-planar graph with an application to acyclic coloring 一种应用于无环着色的1-平面图上的识别操作
IF 3.5 2区 数学
Applied Mathematics and Computation Pub Date : 2025-07-03 DOI: 10.1016/j.amc.2025.129614
Qiuyue Tan , Haizhen Qiu , Yiqiao Wang , Kan Wang
{"title":"An identifying operation on a 1-planar graph with an application to acyclic coloring","authors":"Qiuyue Tan ,&nbsp;Haizhen Qiu ,&nbsp;Yiqiao Wang ,&nbsp;Kan Wang","doi":"10.1016/j.amc.2025.129614","DOIUrl":"10.1016/j.amc.2025.129614","url":null,"abstract":"<div><div>This paper introduces a graph operation and gives its applications. Given a 1-plane graph <em>M</em> and its crossing point <em>x</em> formed by two crossing edges <span><math><mi>u</mi><msup><mrow><mi>u</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span> and <span><math><mi>v</mi><msup><mrow><mi>v</mi></mrow><mrow><mo>′</mo></mrow></msup></math></span>, an Identifying Operation with respect to <em>x</em> is defined in two steps: (1) identifying <em>u</em> and <em>v</em> such that <em>x</em> vanishes; (2) deleting loops and multi-edges (if exists). Using Identifying Operation to every crossing point, we change <em>M</em> into its associated plane graph <span><math><msup><mrow><mi>M</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>. Under some conditions, we show that <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>a</mi></mrow></msub><mo>(</mo><mi>M</mi><mo>)</mo><mo>≤</mo><mn>2</mn><msub><mrow><mi>χ</mi></mrow><mrow><mi>a</mi></mrow></msub><mo>(</mo><msup><mrow><mi>M</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>)</mo></math></span>, where the parameters <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>a</mi></mrow></msub><mo>(</mo><mi>M</mi><mo>)</mo></math></span> and <span><math><msub><mrow><mi>χ</mi></mrow><mrow><mi>a</mi></mrow></msub><mo>(</mo><msup><mrow><mi>M</mi></mrow><mrow><mo>⁎</mo></mrow></msup><mo>)</mo></math></span> represent the acyclic-chromatic-number of <em>M</em> and <span><math><msup><mrow><mi>M</mi></mrow><mrow><mo>⁎</mo></mrow></msup></math></span>, respectively. This generalizes a result established by Yang et al. in 2018.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"508 ","pages":"Article 129614"},"PeriodicalIF":3.5,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144535096","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
Enhancing the topological robustness of supply chain networks against dynamic disruptions: A complex adaptive system perspective 增强供应链网络对动态中断的拓扑鲁棒性:一个复杂自适应系统的观点
IF 5.3 1区 数学
Chaos Solitons & Fractals Pub Date : 2025-07-03 DOI: 10.1016/j.chaos.2025.116767
Jiepeng Wang , Peng Qin , Li Chen , Changgui Gu , Yufei Yuan , Hong Zhou
{"title":"Enhancing the topological robustness of supply chain networks against dynamic disruptions: A complex adaptive system perspective","authors":"Jiepeng Wang ,&nbsp;Peng Qin ,&nbsp;Li Chen ,&nbsp;Changgui Gu ,&nbsp;Yufei Yuan ,&nbsp;Hong Zhou","doi":"10.1016/j.chaos.2025.116767","DOIUrl":"10.1016/j.chaos.2025.116767","url":null,"abstract":"<div><div>With growing disruptions, uncertainties, and complex risks like pandemics, natural disasters, and geopolitical tensions, firms must ensure supply chain continuity, quick recovery, and agility in responding to market needs. As a result, designing resilient supply chain networks (SCNs) has become both essential and highly important. To address this problem, based on the complex adaptive system (CAS) theory and by modifying the Barabási and Albert (BA) model, a supply chain network evolving (SCNE) model with adaptive strategies is designed, which considers firms’ edges growth and rewiring strategies. Utilizing mean-field theory, the SCNE model is analyzed and subjected to simulation studies to verify its scale-free properties. It also examines the structural characteristics of SCN evolution under different adaptive strategies. Subsequently, a case study of Acura automobile SCN is conducted for topological robustness analysis. Finally, the results of the simulation are validated using an ordinary least squares (OLS) regression model, demonstrating the effectiveness of adaptive strategies in enhancing the topological robustness of SCNs. We find that the enhancement of SCN topological robustness can be achieved through firms’ edges growth and rewiring strategies in response to node removal disruptions. Quantitatively, firms’ edges growth strategies improve SCN topological robustness approximately 2.1 times more than rewiring strategies, as indicated by the coefficients of 0.81 and 0.75 for largest connected component size and network efficiency, respectively, compared to 0.38 and 0.37 for rewiring strategies. These findings underscore the critical role of adaptive strategies in enhancing the resilience of SCNs.</div></div>","PeriodicalId":9764,"journal":{"name":"Chaos Solitons & Fractals","volume":"199 ","pages":"Article 116767"},"PeriodicalIF":5.3,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534994","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
Paired-domination in binary trees 二叉树中的配对支配
IF 1 3区 数学
Discrete Applied Mathematics Pub Date : 2025-07-03 DOI: 10.1016/j.dam.2025.06.038
Aaron D. Gray , Michael A. Henning
{"title":"Paired-domination in binary trees","authors":"Aaron D. Gray ,&nbsp;Michael A. Henning","doi":"10.1016/j.dam.2025.06.038","DOIUrl":"10.1016/j.dam.2025.06.038","url":null,"abstract":"&lt;div&gt;&lt;div&gt;A set &lt;span&gt;&lt;math&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; of vertices in an isolate-free graph &lt;span&gt;&lt;math&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is a paired-dominating set if every vertex of &lt;span&gt;&lt;math&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is adjacent to some other vertex in &lt;span&gt;&lt;math&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; and the subgraph &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;[&lt;/mo&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;mo&gt;]&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; induced by the set &lt;span&gt;&lt;math&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; contains a perfect matching. The paired-domination number &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;pr&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; of &lt;span&gt;&lt;math&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is the minimum cardinality of a paired-dominating set in &lt;span&gt;&lt;math&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;. A binary tree is a tree in which every vertex has degree 1 or degree 3. We determine a tight upper bound on the paired-domination number of a binary tree and show that if &lt;span&gt;&lt;math&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is a binary tree of order &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;≥&lt;/mo&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, then &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;pr&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;≤&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. Thereafter we continue the study of a version of the paired-domination game recently introduced by the authors (Gray and Henning, 2023) that embraces both the domination and matching flavor of the game. We give an explicit formula for the game paired-domination number of an infinite family of binary trees and show that if &lt;span&gt;&lt;math&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is a binary caterpillar of order &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;, then &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;gpr&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;4&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;Φ&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;, where &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;Φ&lt;/mi&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; takes on one of the values in the set &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;{&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;5&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;}&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. We show that if &lt;span&gt;&lt;math&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; is a complete binary tree of order &lt;span&gt;&lt;math&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt;, then &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;γ&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;gpr&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mo&gt;&lt;&lt;/mo&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;3&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;192&lt;/mn&gt;&lt;/mrow&gt;&lt;/mfrac&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;mi&gt;n&lt;/mi&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;. We conclude with a conjecture that &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;sup&lt;/mo&gt;","PeriodicalId":50573,"journal":{"name":"Discrete Applied Mathematics","volume":"376 ","pages":"Pages 306-317"},"PeriodicalIF":1.0,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534650","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
Forcing, anti-forcing, global forcing and complete forcing on perfect matchings of graphs — A survey 图的完美匹配的强迫、反强迫、整体强迫和完全强迫——综述
IF 1 3区 数学
Discrete Applied Mathematics Pub Date : 2025-07-03 DOI: 10.1016/j.dam.2025.06.022
Yaxian Zhang , Xin He , Qianqian Liu , Heping Zhang
{"title":"Forcing, anti-forcing, global forcing and complete forcing on perfect matchings of graphs — A survey","authors":"Yaxian Zhang ,&nbsp;Xin He ,&nbsp;Qianqian Liu ,&nbsp;Heping Zhang","doi":"10.1016/j.dam.2025.06.022","DOIUrl":"10.1016/j.dam.2025.06.022","url":null,"abstract":"<div><div>The notion of forcing number for a perfect matching or innate degree of freedom for a Kekulé structure was introduced by Randić and Klein in 1980s, which plays an important role in the resonance theory in organic chemistry. Over the past four decades, some theoretical chemists and mathematicians have been attracted to investigate the effects in some chemical graphs and the graph-theoretical problems in general graphs. Recently some derived concepts and related problems have also been raised successively, such as anti-forcing number of a perfect matching, global forcing number, complete forcing number, etc. This survey will present recent progress on the minimum and maximum (anti-) forcing numbers, (anti-) forcing spectra and (anti-) forcing polynomials of perfect matchings of graphs, and global forcing and complete forcing numbers with their relations, as well as some open problems and conjectures.</div></div>","PeriodicalId":50573,"journal":{"name":"Discrete Applied Mathematics","volume":"376 ","pages":"Pages 318-347"},"PeriodicalIF":1.0,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534648","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 well-posedness of the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system with Landau Potential 具有朗道势的非齐次不可压缩Navier-Stokes-Cahn-Hilliard系统的全局适定性
IF 2.4 2区 数学
Journal of Differential Equations Pub Date : 2025-07-03 DOI: 10.1016/j.jde.2025.113585
Li Fang , Rui Nei , Zhenhua Guo
{"title":"Global well-posedness of the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system with Landau Potential","authors":"Li Fang ,&nbsp;Rui Nei ,&nbsp;Zhenhua Guo","doi":"10.1016/j.jde.2025.113585","DOIUrl":"10.1016/j.jde.2025.113585","url":null,"abstract":"<div><div>We study the nonhomogeneous incompressible Navier-Stokes-Cahn-Hilliard system in a bounded smooth domain in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mn>3</mn></mrow></msup></math></span>, which describes the dynamics of nonhomogeneous incompressible two-phase viscous flows. We first give a blow-up criterion of local strong solution to the initial-boundary-value problem for the case of initial density away from zero. After establishing some key a priori with the help of the Landau Potential, we obtain the global existence and the decay-in-time of strong solution, provided that the initial datum <span><math><msub><mrow><mo>‖</mo><mi>∇</mi><msub><mrow><mi>u</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>‖</mo></mrow><mrow><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow></msub><mo>+</mo><msub><mrow><mo>‖</mo><mi>∇</mi><msub><mrow><mi>μ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>‖</mo></mrow><mrow><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow></msub><mo>+</mo><msub><mrow><mo>‖</mo><msub><mrow><mi>ρ</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>‖</mo></mrow><mrow><msup><mrow><mi>L</mi></mrow><mrow><mo>∞</mo></mrow></msup><mo>(</mo><mi>Ω</mi><mo>)</mo></mrow></msub></math></span> is suitably small. Precisely, we provide a systematic analysis of the Navier-Stokes-Cahn-Hilliard system through detailed a priori estimates, covering blow-up criterion, global existence and decay behavior of strong solutions.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"445 ","pages":"Article 113585"},"PeriodicalIF":2.4,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534438","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
Periodic solutions for the coupled wave equations with concave-convex nonlinearities 凹凸非线性耦合波动方程的周期解
IF 2.4 2区 数学
Journal of Differential Equations Pub Date : 2025-07-03 DOI: 10.1016/j.jde.2025.113584
Jianhua Liu, Jiayu Deng, Shuguan Ji
{"title":"Periodic solutions for the coupled wave equations with concave-convex nonlinearities","authors":"Jianhua Liu,&nbsp;Jiayu Deng,&nbsp;Shuguan Ji","doi":"10.1016/j.jde.2025.113584","DOIUrl":"10.1016/j.jde.2025.113584","url":null,"abstract":"<div><div>In this work, we show that the coupled wave equations possess infinitely many time-periodic solutions. The nonlinearities are the combination of a convex term and a concave term, and we mainly focus on the effect of the concave term on the solution structure of the periodic-Dirichlet wave equations. The proof is based on the detailed analysis for the spectrum structure of the corresponding linear operator, and we obtain the existence and multiplicity of time-periodic solutions to our problem by critical point theory and approximation arguments.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"445 ","pages":"Article 113584"},"PeriodicalIF":2.4,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534437","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
A generalization of the Hamiltonian cycle in dense digraphs 密有向图中哈密顿循环的推广
IF 1 3区 数学
Discrete Applied Mathematics Pub Date : 2025-07-03 DOI: 10.1016/j.dam.2025.06.021
Jie Zhang , Zhilan Wang , Jin Yan
{"title":"A generalization of the Hamiltonian cycle in dense digraphs","authors":"Jie Zhang ,&nbsp;Zhilan Wang ,&nbsp;Jin Yan","doi":"10.1016/j.dam.2025.06.021","DOIUrl":"10.1016/j.dam.2025.06.021","url":null,"abstract":"<div><div>Let <span><math><mi>D</mi></math></span> be a digraph and <span><math><mi>C</mi></math></span> be a cycle in <span><math><mi>D</mi></math></span>. For any two vertices <span><math><mi>x</mi></math></span> and <span><math><mi>y</mi></math></span> in <span><math><mi>D</mi></math></span>, the distance from <span><math><mi>x</mi></math></span> to <span><math><mi>y</mi></math></span> is defined as the minimum length of a directed path from <span><math><mi>x</mi></math></span> to <span><math><mi>y</mi></math></span>. The square of the cycle <span><math><mi>C</mi></math></span> is the graph with vertex set <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>C</mi><mo>)</mo></mrow></mrow></math></span>, where for distinct vertices <span><math><mi>x</mi></math></span> and <span><math><mi>y</mi></math></span> in <span><math><mi>C</mi></math></span>, there is an arc from <span><math><mi>x</mi></math></span> to <span><math><mi>y</mi></math></span> if and only if the distance from <span><math><mi>x</mi></math></span> to <span><math><mi>y</mi></math></span> in <span><math><mi>C</mi></math></span> is at most 2. The reverse square of the cycle <span><math><mi>C</mi></math></span> is the digraph with vertex set <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>C</mi><mo>)</mo></mrow></mrow></math></span>, and arc set <span><math><mrow><mi>A</mi><mrow><mo>(</mo><mi>C</mi><mo>)</mo></mrow><mo>∪</mo><mrow><mo>{</mo><mi>y</mi><mi>x</mi><mo>:</mo><mtext>the vertices</mtext><mspace></mspace><mi>x</mi><mo>,</mo><mi>y</mi><mo>∈</mo><mi>V</mi><mrow><mo>(</mo><mi>C</mi><mo>)</mo></mrow><mspace></mspace><mtext>and the distance from </mtext><mi>x</mi><mtext> to </mtext><mi>y</mi><mtext> in </mtext><mi>C</mi><mtext> is </mtext><mn>2</mn><mo>}</mo></mrow></mrow></math></span>. In this paper, we prove that for every real number <span><math><mrow><mi>γ</mi><mo>&gt;</mo><mn>0</mn></mrow></math></span>, there exists a positive integer <span><math><mrow><msub><mrow><mi>n</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>=</mo><msub><mrow><mi>n</mi></mrow><mrow><mn>0</mn></mrow></msub><mrow><mo>(</mo><mi>γ</mi><mo>)</mo></mrow></mrow></math></span> such that every digraph on <span><math><mrow><mi>n</mi><mo>≥</mo><msub><mrow><mi>n</mi></mrow><mrow><mn>0</mn></mrow></msub></mrow></math></span> vertices with the minimum in- and out-degree at least <span><math><mrow><mrow><mo>(</mo><mn>2</mn><mo>/</mo><mn>3</mn><mo>+</mo><mi>γ</mi><mo>)</mo></mrow><mi>n</mi></mrow></math></span> contains the reverse square of a Hamiltonian cycle. This result generalizes a theorem of Czygrinow, Kierstead and Molla.</div></div>","PeriodicalId":50573,"journal":{"name":"Discrete Applied Mathematics","volume":"377 ","pages":"Pages 1-9"},"PeriodicalIF":1.0,"publicationDate":"2025-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534399","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
Combinatorial Ricci flow and Calabi flow for generalized hyperbolic circle packings 广义双曲圆填料的组合Ricci流和Calabi流
IF 1.3 2区 数学
Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-07-02 DOI: 10.1016/j.na.2025.113894
Yu Sun , Kai Wang , Xiaorui Yang , Hao Yu
{"title":"Combinatorial Ricci flow and Calabi flow for generalized hyperbolic circle packings","authors":"Yu Sun ,&nbsp;Kai Wang ,&nbsp;Xiaorui Yang ,&nbsp;Hao Yu","doi":"10.1016/j.na.2025.113894","DOIUrl":"10.1016/j.na.2025.113894","url":null,"abstract":"<div><div>In Hu et al. (2025), they studied a generalized hyperbolic circle packing (including circles, horocycles and hypercycles) with a total geodesic curvature on each generalized circle of this circle packing and a discrete Gaussian curvature on the center of each dual circle. In this paper, we introduce the combinatorial Ricci flow and combinatorial Calabi flow to find this type of generalized circle packings for a data including prescribed total geodesic curvatures of generalize circles and discrete Gaussian curvatures on centers of dual disks. We show that the solution to the combinatorial Ricci flow and combinatorial Calabi flow in the hyperbolic geometry with the given initial value exists for all the time and converges exponentially fast to a unique generalized circle packing metric.</div></div>","PeriodicalId":49749,"journal":{"name":"Nonlinear Analysis-Theory Methods & Applications","volume":"261 ","pages":"Article 113894"},"PeriodicalIF":1.3,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144534424","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
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