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
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
The Linear Sampling Method for Two-dimensional Electromagnetic Inverse Scattering by Obstacle in Chiral Environment 手性环境下二维电磁障碍物逆散射的线性采样方法
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-024-1158-8
Xia Deng, Jun Guo
{"title":"The Linear Sampling Method for Two-dimensional Electromagnetic Inverse Scattering by Obstacle in Chiral Environment","authors":"Xia Deng,&nbsp;Jun Guo","doi":"10.1007/s10255-024-1158-8","DOIUrl":"10.1007/s10255-024-1158-8","url":null,"abstract":"<div><p>In this paper, we consider the time-harmonic electromagnetic scattering by a perfect conductor in a homogeneous chiral environment. For three-dimensional cylindrical structures, it can be simplified as a two-dimensional model problem, which can be modeled by two scalar Helmholtz equations via coupled boundary conditions. The boundary integral equation method is used to prove the unique existence of the weak solution to this problem. Then we apply the linear sampling method to recover the scatterer from one of the far field pattern of wave fields. Some numerical examples are shown to verify the correctness and effectiveness of the proposed method.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1018 - 1035"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230272","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
A Minimization Problem and a Duality Result Related to a Drifting Laplacian Equation 一类漂移拉普拉斯方程的最小化问题及对偶结果
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-025-0018-5
Morteza Pol, Mohsen Zivari-Rezapour
{"title":"A Minimization Problem and a Duality Result Related to a Drifting Laplacian Equation","authors":"Morteza Pol,&nbsp;Mohsen Zivari-Rezapour","doi":"10.1007/s10255-025-0018-5","DOIUrl":"10.1007/s10255-025-0018-5","url":null,"abstract":"<div><p>In this paper, we consider a Dirichlet-Laplacian with a drift problem. We prove existence of weak solutions of it on the Nehari manifold. Then, we show that the associated energy functional has a minimizer on a rearrangement class generated by a determined function. Finally, we prove a duality theorem for this boundary value problem.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"940 - 949"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230278","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
Trace Formula of the Schrödinger Equations with Energy-dependent on a Lasso-graph 拉索图上能量依赖Schrödinger方程的轨迹公式
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-024-1043-5
Chuan-fu Yang, Li-xiao Wei
{"title":"Trace Formula of the Schrödinger Equations with Energy-dependent on a Lasso-graph","authors":"Chuan-fu Yang,&nbsp;Li-xiao Wei","doi":"10.1007/s10255-024-1043-5","DOIUrl":"10.1007/s10255-024-1043-5","url":null,"abstract":"<div><p>In this paper we study the eigenvalue problems of Schrödinger equations with energy-dependent potential on a lasso graph, and obtain a new regularized trace for this class of differential operators.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1191 - 1200"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230506","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 Two Kinds of Stochastic Predator-prey Models with Stage Structure 两种具有阶段结构的随机捕食-食饵模型分析
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-025-0068-8
Xin-qi Wang, Tian-si Zhang
{"title":"Analysis of Two Kinds of Stochastic Predator-prey Models with Stage Structure","authors":"Xin-qi Wang,&nbsp;Tian-si Zhang","doi":"10.1007/s10255-025-0068-8","DOIUrl":"10.1007/s10255-025-0068-8","url":null,"abstract":"<div><p>In this paper, we studied a stochastic predator-prey model of two predators with stage structure. By constructing a suitable stochastic Lyapunov function, the condition of stationary distribution is verified, and we get the sufficient condition for the model to have ergodic stationary distribution. Then, by using the Itô’s formula for the model, the sufficient conditions for the extinction of the predator population are given. Finally, some examples and numerical simulations are illustrated to verify the theoretical results.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1051 - 1065"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230280","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
Solutions of the (2+1)-dimensional Harry Dym Equation via Darboux Transformation Revisited （2+1）维Harry Dym方程的达布变换解
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-024-1059-x
Meng-yuan Cui, Min Xue, Meng-xia Zhang
{"title":"Solutions of the (2+1)-dimensional Harry Dym Equation via Darboux Transformation Revisited","authors":"Meng-yuan Cui,&nbsp;Min Xue,&nbsp;Meng-xia Zhang","doi":"10.1007/s10255-024-1059-x","DOIUrl":"10.1007/s10255-024-1059-x","url":null,"abstract":"<div><p>The link of (2+1)-dimensional Harry Dym equation with the modified Kadomtsev-Petviashvili equation by the reciprocal transformation is shown. With the help of Darboux transformation, exact solutions of the (2+1)-dimensional Harry Dym equation are constructed and represented in terms of Wronskians.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1218 - 1226"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230487","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
A Note on an Iterative Equation Related to Painlevé Equations 关于疼痛水平方程的一个迭代方程的注记
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-024-1030-x
Wei Cheng
{"title":"A Note on an Iterative Equation Related to Painlevé Equations","authors":"Wei Cheng","doi":"10.1007/s10255-024-1030-x","DOIUrl":"10.1007/s10255-024-1030-x","url":null,"abstract":"<div><p>In this paper, we explore the existence of analytic solutions for an iterative functional equation of the form</p><div><div><span>$$g(g(x))+x=f(g(x))$$</span></div></div><p>that originates from Painlevé equations. By an invertible transformation, we study the analytic solutions of an auxiliary equation under three different cases, and obtain the invertible analytic solutions for the original equation.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1078 - 1087"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230268","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
Neighbor Product Distinguishing Total Coloring via Combinatorial Nullstellensatz 用组合零矩阵判别全着色的邻接积
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-024-1025-7
Meng-ying Shi, Li Zhang
{"title":"Neighbor Product Distinguishing Total Coloring via Combinatorial Nullstellensatz","authors":"Meng-ying Shi,&nbsp;Li Zhang","doi":"10.1007/s10255-024-1025-7","DOIUrl":"10.1007/s10255-024-1025-7","url":null,"abstract":"<div><p>Let <i>G</i> = (<i>V, E</i>) be a simple graph and ϕ: <i>V</i>(<i>G</i>) ⋃ <i>E</i>(<i>G</i>) → {1, 2, ⋯, <i>k</i>} be a proper total-<i>k</i>-coloring of <i>G</i>. Let <i>f</i>(<i>v</i>) = <i>ϕ</i>(<i>v</i>)Π<sub>uv∈<i>E</i>(G)</sub><i>ϕ</i>(<i>uv</i>). The coloring <i>ϕ</i> is neighbor product distinguishing if <i>f</i>(<i>u</i>) ≠ <i>f</i>(<i>v</i>) for each edge <i>uv</i> ∈ <i>E</i>(<i>G</i>). The neighbor product distinguishing total chromatic number of <i>G</i>, denoted by <i>χ</i><span>\u0000 <sup>″</sup><sub>Π</sub>\u0000 \u0000 </span>(<i>G</i>), is the smallest integer <i>k</i> such that <i>G</i> admits a <i>k</i>-neighbor product distinguishing total coloring. Li et al. conjectured that <i>χ</i><span>\u0000 <sup>″</sup><sub>Π</sub>\u0000 \u0000 </span>(<i>G</i>) ≤ Δ(<i>G</i>) + 3 for any graph with at least two vertices and confirmed the conjecture for <i>K</i><sub>4</sub>-minor free graph. In this paper, we prove that for a graph <i>G</i> with at least two vertices, (1) if mad <span>((G)&lt;{60 over 17})</span>, then <i>χ</i><span>\u0000 <sup>″</sup><sub>Π</sub>\u0000 \u0000 </span>(<i>G</i>) ≤ max{Δ + 2, 8}; (2) if mad <span>((G)&lt;{8 over 3})</span>, then <i>χ</i><span>\u0000 <sup>″</sup><sub>Π</sub>\u0000 \u0000 </span>(<i>G</i>) ≤ max{Δ + 2, 6}. Furthermore, by using the Combinatorial Nullstellensatz, we simplify their proof and show that <i>χ</i><span>\u0000 <sup>″</sup><sub>Π</sub>\u0000 \u0000 </span>(<i>G</i>) ≤ max{Δ(<i>G</i>) + 2, 6} for any <i>K</i><sub>4</sub>-minor free graph.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1167 - 1179"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230274","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 Solutions of the Holling-Tanner Model Holling-Tanner模型解的分析
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-024-1060-4
Ying-chao Hao, Kun-lun Huang, Xin-tian Jia, Cui-ping Li
{"title":"Analysis of Solutions of the Holling-Tanner Model","authors":"Ying-chao Hao,&nbsp;Kun-lun Huang,&nbsp;Xin-tian Jia,&nbsp;Cui-ping Li","doi":"10.1007/s10255-024-1060-4","DOIUrl":"10.1007/s10255-024-1060-4","url":null,"abstract":"<div><p>In this paper we consider a kind of predator-prey model named Holling-Tanner model. Firstly, we prove all solutions of this model to be bounded from above. Secondly, we find a positive invariant set of the model, and prove the existence of stable limit cycle in this invariant set by Poincaré-Bendixson theorem for the unstable equilibrium. Thirdly, we get the region of parameters in which the corresponding stable equilibrium are also globally asymptotically stable. Lastly, we give a bifurcation diagram and illustration with two limit cycles for special parameters through numerical simulation. By our knowledge, the invariant set constructed in this paper is better than that in the book written by Murray.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1142 - 1155"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230276","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
k-convex Solution to a System of k-Hessian Equations with Power-type Nonlinearities 一类幂型非线性k-Hessian方程组的k-凸解
IF 0.9 4区 数学
Acta Mathematicae Applicatae Sinica, English Series Pub Date : 2025-10-06 DOI: 10.1007/s10255-025-0045-2
Cheng-hua Gao, Dui-hua Duan, Xing-yue He
{"title":"k-convex Solution to a System of k-Hessian Equations with Power-type Nonlinearities","authors":"Cheng-hua Gao,&nbsp;Dui-hua Duan,&nbsp;Xing-yue He","doi":"10.1007/s10255-025-0045-2","DOIUrl":"10.1007/s10255-025-0045-2","url":null,"abstract":"<div><p>We consider a system of <i>k</i>-Hessian equations</p><div><div><span>$$left{{matrix{{{S_k}({lambda ({{D^2}u})}) = {{({- u})}^{{alpha _1}}} + {{({- v})}^{{beta _1}}},} hfill &amp; {{rm{in}},B,} hfill cr {{S_k}({lambda ({{D^2}v})}) = {{({- u})}^{{alpha _2}}},} hfill &amp; {{rm{in}},B,} hfill cr {u = v = 0,} hfill &amp; {{rm{on}},partial B,} hfill}} right.$$</span></div></div><p>where 1 ≤ <i>k</i> ≤ <i>n</i> (<i>n</i> ≥ 2), <i>α</i><sub>1</sub>, <i>α</i><sub>2</sub> and <i>β</i><sub>1</sub> are positive constants, <i>B</i> = {<i>x</i> ∈ ℝ<sup><i>n</i></sup>: ∣<i>x</i>∣ &lt; 1}. By giving the complete classification for the constants <i>α</i><sub>1</sub>, <i>α</i><sub>2</sub> and <i>β</i><sub>1</sub> according to the value of <i>k</i>, some sharp conditions are obtained for the existence, uniqueness and nonexistence results of <i>k</i>-convex solutions to the above problem.</p></div>","PeriodicalId":6951,"journal":{"name":"Acta Mathematicae Applicatae Sinica, English Series","volume":"41 4","pages":"1180 - 1190"},"PeriodicalIF":0.9,"publicationDate":"2025-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145230505","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
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