发布求助
文献互助 智能选刊 最新文献

Acta Mathematicae Applicatae Sinica, English Series最新文献

筛选
英文 中文
List Injective (Δ + 4)-coloring of Planar Graphs 列表内射（Δ + 4）-平面图形的着色
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-12-08 DOI: 10.1007/s10255-025-0072-z
Yue-hua Bu, Hong-rui Zheng, Hong-guo Zhu
{"title":"List Injective (Δ + 4)-coloring of Planar Graphs","authors":"Yue-hua Bu,&nbsp;Hong-rui Zheng,&nbsp;Hong-guo Zhu","doi":"10.1007/s10255-025-0072-z","DOIUrl":"10.1007/s10255-025-0072-z","url":null,"abstract":"<div><p>For a planar graph <i>G</i> and two distinct vertices <i>u, v</i> ∈ <i>V</i>(<i>G</i>) which share a common neighbor, a coloring is called injective if <i>u</i> and <i>v</i> receive different colors. The injective choosability number of <i>G</i> is the smallest integer <i>k</i> such that <i>G</i> is injective <i>k</i>-choosable, denoted by <i>χ</i><span>\u0000 <sup><i>l</i></sup><sub><i>i</i></sub>\u0000 \u0000 </span>(<i>G</i>) In this paper, we prove that <i>χ</i><span>\u0000 <sup><i>l</i></sup><sub><i>i</i></sub>\u0000 \u0000 </span>(<i>G</i>) ≤ Δ + 4 if Δ ≥ 15 for <i>G</i> without 3-cycles and disjoint 4-cycles, which improves the results of Li et al. (2022) who gave that <i>χ</i><span>\u0000 <sup><i>l</i></sup><sub><i>i</i></sub>\u0000 \u0000 </span>(<i>G</i>) ≤ Δ + 4 if Δ ≥ 22 and <i>χ</i><span>\u0000 <sup><i>l</i></sup><sub><i>i</i></sub>\u0000 \u0000 </span>(<i>G</i>) ≤ Δ + 5 if Δ ≥ 15 for <i>G</i> without 3-cycles and disjoint 4-cycles.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 4","pages":"1401 - 1408"},"PeriodicalIF":0.9,"publicationDate":"2025-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149027666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Solitary Waves for Trapped Dipolar Quantum Gases in the Limit Case of the Cigar-Shaped Model 困住偶极量子气体在雪茄形模型极限情况下的孤波稳定性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-13 DOI: 10.1007/s10255-024-1139-y
Sheng Wang, Juan Huang
{"title":"Stability of Solitary Waves for Trapped Dipolar Quantum Gases in the Limit Case of the Cigar-Shaped Model","authors":"Sheng Wang,&nbsp;Juan Huang","doi":"10.1007/s10255-024-1139-y","DOIUrl":"10.1007/s10255-024-1139-y","url":null,"abstract":"<div><p>This paper concerns the existence and stability of solitary waves for the nonlinear Schrödinger equation with a partial confinement, which describes the limit case of the cigar-shaped model in Bose-Einstein condensate of dipolar quantum gases. More precisely, we applied a compactness argument, which comes from the confining potential <i>x</i><span>\u0000 <sup>1</sup><sub>2</sub>\u0000 \u0000 </span>+<i>x</i><span>\u0000 <sup>2</sup><sub>2</sub>\u0000 \u0000 </span>, to overcome the lack of compactness caused by the translation invariance with respect to <i>x</i><sub>3</sub>. Then, since the mass supercritical character of this equation, we construct orbitally stable solutions by adapting a suitable localized minimization problem. Finally, the stability of solitary waves is obtained.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"83 - 94"},"PeriodicalIF":0.9,"publicationDate":"2025-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145887149","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Canards in Generalized Liénard Equations with Turning Points 带拐点的广义lisamadard方程中的鸭
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-08 DOI: 10.1007/s10255-025-0050-5
Jin-hui Yao, Ji-cai Huang
{"title":"Canards in Generalized Liénard Equations with Turning Points","authors":"Jin-hui Yao,&nbsp;Ji-cai Huang","doi":"10.1007/s10255-025-0050-5","DOIUrl":"10.1007/s10255-025-0050-5","url":null,"abstract":"<div><p>The goal of this paper is to investigate canard solutions in generalized Liénard equations with a generic or non-generic turning point. We first use a blow-up weight to desingularize the turning point and employ some methods from dynamical systems theory to study the dynamics near the turning point. Then the existence of canard solutions is shown and the first order approximation of the control curve is given by extended Melnikov theory.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 3","pages":"942 - 956"},"PeriodicalIF":0.9,"publicationDate":"2025-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148459159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 2-distance (Δ + 4)-coloring of Planar Graphs with girth Five 周长为5的平面图的2-距离（Δ + 4）着色
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-06 DOI: 10.1007/s10255-025-0055-0
Zakir Deniz
{"title":"On 2-distance (Δ + 4)-coloring of Planar Graphs with girth Five","authors":"Zakir Deniz","doi":"10.1007/s10255-025-0055-0","DOIUrl":"10.1007/s10255-025-0055-0","url":null,"abstract":"<div><p>A vertex coloring of a graph <i>G</i> is called a 2-distance coloring if any two vertices at distance at most 2 from each other receive different colors. Let <i>G</i> be a planar graph with girth at least five and maximum degree Δ. We prove that <i>G</i> admits a 2-distance coloring with Δ + 4 colors when Δ ≥ 22, which improves a result of Dong and Lin (Discrete Appl. Math. 217: 495–505, 2017).</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 2","pages":"569 - 581"},"PeriodicalIF":0.9,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10255-025-0055-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147579159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Blowup Dynamics of the Focusing Energy-critical Hartree Equation 聚焦能量临界Hartree方程的爆破动力学
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-06 DOI: 10.1007/s10255-025-0058-x
Yang-yang Wang, Juan Huang, Sheng Wang
{"title":"Blowup Dynamics of the Focusing Energy-critical Hartree Equation","authors":"Yang-yang Wang,&nbsp;Juan Huang,&nbsp;Sheng Wang","doi":"10.1007/s10255-025-0058-x","DOIUrl":"10.1007/s10255-025-0058-x","url":null,"abstract":"<div><p>This paper is concerned with blowup dynamics of the focusing energy-critical Hartree equation in dimensions five and higher. We prove that if the kinetic energy of a blowup solution is bounded, it must concentrate at least the kinetic energy of the ground state as time goes to the blowup time. Finally, we also show that the finite time blowup solution has a limit in some suitable spaces.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 3","pages":"842 - 856"},"PeriodicalIF":0.9,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148459092","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Energy Decay for a Nonlinear Wave Equation with p(x)-Laplacian Damping 具有p(x)-拉普拉斯阻尼的非线性波动方程的能量衰减
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-06 DOI: 10.1007/s10255-025-0049-y
Meng-lan Liao, Xiao-lei Li, Zayd Hajjej
{"title":"Energy Decay for a Nonlinear Wave Equation with p(x)-Laplacian Damping","authors":"Meng-lan Liao,&nbsp;Xiao-lei Li,&nbsp;Zayd Hajjej","doi":"10.1007/s10255-025-0049-y","DOIUrl":"10.1007/s10255-025-0049-y","url":null,"abstract":"<div><p>This paper is concerned with the energy decay rate of the total energy to a wave equation with <i>p</i>(<i>x</i>)-Laplacian damping (nonlinear strong damping) and nonlinear source. With some suitable restrictions on variable growth exponents <i>r</i>(<i>x</i>) and <i>p</i>(<i>x</i>), first, we prove that the local solution can be extended to exist globally. Second, by using suitable and weighted multiplier techniques, it is proved that the total energy decays logarithmically. The key and main difficulty is to give a prior estimate for the wighted integral <span>(int_{Omega}chi^{p(x)-1}(tau)vertnabla u(tau)vert^{p(x)}dx)</span> by some differential inequality techniques. In the proof of energy decay, the traditional method to eliminate the lower-order terms by exploiting the unique continuation and compactness arguments is not needed in our energy decay estimate.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"229 - 239"},"PeriodicalIF":0.9,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886935","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Uniformly Exponential Stability of Semi-discrete Difference Scheme for One-dimensional Euler-Bernoulli Beam with Local Viscosity 具有局部黏度的一维Euler-Bernoulli梁半离散差分格式的均匀指数稳定性
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-06 DOI: 10.1007/s10255-025-0061-2
Kun-yi Yang, Zhuo-xuan Dong
{"title":"Uniformly Exponential Stability of Semi-discrete Difference Scheme for One-dimensional Euler-Bernoulli Beam with Local Viscosity","authors":"Kun-yi Yang,&nbsp;Zhuo-xuan Dong","doi":"10.1007/s10255-025-0061-2","DOIUrl":"10.1007/s10255-025-0061-2","url":null,"abstract":"<div><p>In this paper, we establish the exponential stability of the one-dimensional Euler-Bernoulli beam equation with local viscosity. On the one hand, we demonstrate that the Euler-Bernoulli beam equation system is exponentially stable by employing the multiplier method, which relies on an appropriately constructed Lyapunov function. On the other hand, we discretize the Euler-Bernoulli beam equation system using the finite volume difference method. For the resulting semi-discrete system, we construct a discretized multiplier based on the discretized Lyapunov function. Finally, we prove that the semi-discrete Euler-Bernoulli beam equation system is also uniformly exponentially stable.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 1","pages":"39 - 53"},"PeriodicalIF":0.9,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Analysis of a Stochastic Delayed SIVS Epidemic Model with Seasonal Variation 具有季节变化的随机延迟SIVS流行模型分析
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-06 DOI: 10.1007/s10255-025-0051-4
Xiang-yun Shi, Xue-yong Zhou, Yi-meng Cao
{"title":"Analysis of a Stochastic Delayed SIVS Epidemic Model with Seasonal Variation","authors":"Xiang-yun Shi,&nbsp;Xue-yong Zhou,&nbsp;Yi-meng Cao","doi":"10.1007/s10255-025-0051-4","DOIUrl":"10.1007/s10255-025-0051-4","url":null,"abstract":"<div><p>In this paper, we present a novel stochastic SIVS epidemic model with proportional vaccination. The most prominent innovation of this work lies in the introduction of a non-autonomous infectious disease model with time delay, which is distinct from traditional stochastic infectious disease models. This unique model enables in-depth exploration of the transmission patterns and prevention strategies for seasonal infectious diseases such as influenza, mumps, malaria, and dengue fever. For the proposed stochastic system, we initially prove its well-posedness by rigorously demonstrating the global existence and uniqueness of the positive solution. Subsequently, we derive a series of sufficient conditions for the extinction and persistence of the disease. Moreover, by leveraging Khaminskii’s boundary periodic Markov processes, we establish the existence of a non-trivial positive periodic solution within the system. Finally, comprehensive numerical simulations are carried out to systematically analyze the effects of perturbations on the epidemic model. These findings not only enrich the theoretical framework of epidemic modeling but also provide valuable insights for practical disease prevention and control.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 3","pages":"890 - 904"},"PeriodicalIF":0.9,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148459091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Solvability and Convergence Analysis of an Adaptive BDF2 Scheme for the Two-dimensional Fisher Equation 二维Fisher方程的自适应BDF2格式的可解性和收敛性分析
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-11-06 DOI: 10.1007/s10255-025-0056-z
Jin-ge Zhu, Guang-hua Gao
{"title":"Solvability and Convergence Analysis of an Adaptive BDF2 Scheme for the Two-dimensional Fisher Equation","authors":"Jin-ge Zhu,&nbsp;Guang-hua Gao","doi":"10.1007/s10255-025-0056-z","DOIUrl":"10.1007/s10255-025-0056-z","url":null,"abstract":"<div><p>The two-step backward differentiation formula (BDF2) is applied to numerically solve the two-dimensional Fisher equation. The nonlinear term is handled skillfully by the extrapolation technique. On this basis, a finite difference scheme with the second-order accuracy in both time and space is constructed for the initial-boundary value problem of the two-dimensional Fisher equation. Based on the energy method with induction, the unique solvability and error analysis can be achieved under the condition that the adjacent maximum time step ratio <i>r</i> satisfies certain constraint: 0 &lt; <i>r</i> &lt; <i>r*</i> ≈ 4.8645. We first estimate the numerical error under the discrete <i>H</i><sup>2</sup>-seminorm, and then obtain the error estimate under the maximum norm by Sobolev embedding inequality, thus obtain the uniform bound of the numerical solution. Numerical examples verify our theoretical results, and illustrate the computational efficiency of the proposed scheme under the adaptive strategy to cope with the strong reaction case as well as the maximum bound preserving (MBP) property of the scheme.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"42 3","pages":"678 - 694"},"PeriodicalIF":0.9,"publicationDate":"2025-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148459093","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Cauchy Problem for Non-Isentropic Compressible Navier-Stokes/Allen-Cahn system with Degenerate Heat-Conductivity 具有退化导热性的非等熵可压缩Navier-Stokes/Allen-Cahn系统的Cauchy问题
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-025-0063-0
Ya-zhou Chen, Qiao-lin He, Bin Huang, Xiao-ding Shi
{"title":"The Cauchy Problem for Non-Isentropic Compressible Navier-Stokes/Allen-Cahn system with Degenerate Heat-Conductivity","authors":"Ya-zhou Chen,&nbsp;Qiao-lin He,&nbsp;Bin Huang,&nbsp;Xiao-ding Shi","doi":"10.1007/s10255-025-0063-0","DOIUrl":"10.1007/s10255-025-0063-0","url":null,"abstract":"<div><p>The Cauchy problem for non-isentropic compressible Navier-Stokes/Allen-Cahn system with degenerate heat-conductivity <span>(kappa (theta) = tilde kappa {theta ^beta})</span> in 1-D is discussed in this paper. This system is widely used to describe the motion of immiscible two-phase flow with diffused interface. The well-posedness for strong solution of this problem is established with the <i>H</i><sup>1</sup> initial data for density, temperature, velocity, and the <i>H</i><sup>2</sup> initial data for phase field. The result shows that no discontinuity of the phase field, vacuum, shock wave, mass or heat concentration will be developed at any finite time in the whole space. From the hydrodynamic point of view, this means that no matter how complex the interaction between the hydrodynamic and phase-field effects, phase separation will not occur, but the phase transition is possible.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1088 - 1105"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：604180095
Book学术官方微信
小红书