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Some further progress for boundedness of solutions to a quasilinear higher–dimensional chemotaxis–haptotaxis model with nonlinear diffusion 一类具有非线性扩散的拟线性高维趋化-趋化模型解的有界性的进一步研究
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023095
Jiashan Zheng, Jianing Xie
{"title":"Some further progress for boundedness of solutions to a quasilinear higher–dimensional chemotaxis–haptotaxis model with nonlinear diffusion","authors":"Jiashan Zheng, Jianing Xie","doi":"10.3934/dcds.2023095","DOIUrl":"https://doi.org/10.3934/dcds.2023095","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"24 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91025532","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
Vortex states of Bose-Einstein condensates with attractive interactions 具有吸引相互作用的玻色-爱因斯坦凝聚体的涡旋态
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023003
Tingxi Hu, Lu Lu
{"title":"Vortex states of Bose-Einstein condensates with attractive interactions","authors":"Tingxi Hu, Lu Lu","doi":"10.3934/dcds.2023003","DOIUrl":"https://doi.org/10.3934/dcds.2023003","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"51 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88502100","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
Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping 具有临界过阻尼的单极欧拉-泊松方程解的大时间行为
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023092
Jianing Xu, Ming Mei, Hai-liang Li
{"title":"Large-time behavior of solutions for unipolar Euler-Poisson equations with critical over-damping","authors":"Jianing Xu, Ming Mei, Hai-liang Li","doi":"10.3934/dcds.2023092","DOIUrl":"https://doi.org/10.3934/dcds.2023092","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"36 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81353140","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
Topological transitivity of Kan-type partially hyperbolic diffeomorphisms kan型部分双曲微分同态的拓扑及及性
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023117
Mingyang Xia
{"title":"Topological transitivity of Kan-type partially hyperbolic diffeomorphisms","authors":"Mingyang Xia","doi":"10.3934/dcds.2023117","DOIUrl":"https://doi.org/10.3934/dcds.2023117","url":null,"abstract":"We present the topological transitivity of a class of diffeomorphisms on the thickened torus, including the partially hyperbolic example introduced by Ittai Kan in 1994, which is well known for the first systems with the intermingled basins phenomenon.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"238 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136306365","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
Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions 连分式中连续部分商与单部分商乘积集的Hausdorff维数分析
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023099
Mumtaz Hussain, Bixuan Li, N. Shulga
{"title":"Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions","authors":"Mumtaz Hussain, Bixuan Li, N. Shulga","doi":"10.3934/dcds.2023099","DOIUrl":"https://doi.org/10.3934/dcds.2023099","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"8 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74925351","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
Fractional KPZ system with nonlocal "gradient terms" 具有非局部“梯度项”的分数阶KPZ系统
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023106
Abdelbadie Younes, Kheireddine Biroud, Fethi Mahmoudi, Boumediene Abdellaoui
{"title":"Fractional KPZ system with nonlocal \"gradient terms\"","authors":"Abdelbadie Younes, Kheireddine Biroud, Fethi Mahmoudi, Boumediene Abdellaoui","doi":"10.3934/dcds.2023106","DOIUrl":"https://doi.org/10.3934/dcds.2023106","url":null,"abstract":"In the present work we study the existence and non-existence of nonnegative solutions to a class of deterministic KPZ system with nonlocal gradient term. More precisely we will consider the system$ begin{equation*} left{ begin{array}{rcll} (-Delta)^{s} u & = &|mathbb{D}_{s} v|^q + rho f,, & quad {rm{in }}; Omega, (-Delta)^{s} v & = & |mathbb{D}_{s} u|^p + tau g,, & quad {rm{in }}; Omega, u = v& = & 0 &quad {text{in }} mathbb{R}^N setminus Omega end{array} right. end{equation*} $where $ Omega $ is a bounded regular ($ C^2 $) domain of $ mathbb{R}^N $ and $ p, qge 1 $. $ f,g $ are nonnegative measurable functions satisfying some additional hypotheses and $ rho, tau ge 0 $.Here $ mathbb{D}_{s} $ represents a nonlocal 'gradient term' that will be specified below. In some particular cases, we are able to show the optimality of the condition imposed on the data $ f,g $ and $ rho,tau $.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135556556","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
Corrigendum and Addendum to : "SINGULAR weighted sharp trudinger-moser inequalities defined on $ mathbb{R}^N $ and applications to elliptic nonlinear equations" DOI: 10.3934/dcds.2021137 “在$ mathbb{R}^N $上定义的奇异加权尖锐trudinger-moser不等式及其在椭圆非线性方程中的应用”的勘误表和附录DOI: 10.3934/dcds.2021137
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023053
S. Aouaoui, Rahma Jlel
{"title":"Corrigendum and Addendum to : \"SINGULAR weighted sharp trudinger-moser inequalities defined on $ mathbb{R}^N $ and applications to elliptic nonlinear equations\" DOI: 10.3934/dcds.2021137","authors":"S. Aouaoui, Rahma Jlel","doi":"10.3934/dcds.2023053","DOIUrl":"https://doi.org/10.3934/dcds.2023053","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"143 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88567727","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: 1
Partial regularity of the fractional Gelfand-Liouville system 分数阶Gelfand-Liouville系统的部分正则性
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023026
Yeyao Hu, Yuan Li, Wen Yang
{"title":"Partial regularity of the fractional Gelfand-Liouville system","authors":"Yeyao Hu, Yuan Li, Wen Yang","doi":"10.3934/dcds.2023026","DOIUrl":"https://doi.org/10.3934/dcds.2023026","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88306653","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
Systems of Stieltjes differential equations and application to a predator-prey model of an exploited fishery Stieltjes微分方程组及其在捕捞渔业捕食-猎物模型中的应用
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023086
Lamiae Maia, N. El Khattabi, M. Frigon
{"title":"Systems of Stieltjes differential equations and application to a predator-prey model of an exploited fishery","authors":"Lamiae Maia, N. El Khattabi, M. Frigon","doi":"10.3934/dcds.2023086","DOIUrl":"https://doi.org/10.3934/dcds.2023086","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"11 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82604430","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
Lipschitz sub-actions for locally maximal hyperbolic sets of a $ C^1 $ map C^1 $映射的局部极大双曲集的Lipschitz子作用
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023120
Xifeng Su, Philippe Thieullen, Wenzhe Yu
{"title":"Lipschitz sub-actions for locally maximal hyperbolic sets of a $ C^1 $ map","authors":"Xifeng Su, Philippe Thieullen, Wenzhe Yu","doi":"10.3934/dcds.2023120","DOIUrl":"https://doi.org/10.3934/dcds.2023120","url":null,"abstract":"Livšic theorem asserts that, for Anosov diffeomorphisms, a Lipschitz observable is a coboundary if all its Birkhoff sums on every periodic orbits are equal to zero. The transfer function is then Lipschitz. We prove a positive Livšic theorem which asserts that a Lipschitz observable is bounded from below by a coboundary if and only if all its Birkhoff sums on periodic orbits are non negative. The new result is that the coboundary can be chosen Lipschitz with a uniform control on the Lipschitz norm. In addition our result holds true for possibly non invertible and not transitive $ C^1 $ maps. We actually prove the main result in the setting of locally maximal hyperbolic sets for general $ C^1 $ map. The construction of the coboundary uses a new notion of the Lax-Oleinik operator that is a standard tool in the discrete Aubry-Mather theory.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135052330","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: 1
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