Discrete and Continuous Dynamical Systems最新文献

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Sobolev space weak solutions to one kind of quasilinear parabolic partial differential equations related to forward-backward stochastic differential equations 一类与正反向随机微分方程相关的拟线性抛物型偏微分方程的Sobolev空间弱解
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023018
Zhen Wu, Bing Xie, Zhiyong Yu
{"title":"Sobolev space weak solutions to one kind of quasilinear parabolic partial differential equations related to forward-backward stochastic differential equations","authors":"Zhen Wu, Bing Xie, Zhiyong Yu","doi":"10.3934/dcds.2023018","DOIUrl":"https://doi.org/10.3934/dcds.2023018","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":"74683332","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
Multiple solutions to Gierer-Meinhardt systems Gierer-Meinhardt系统的多种解决方案
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023031
Abdelkrim Moussaoui
{"title":"Multiple solutions to Gierer-Meinhardt systems","authors":"Abdelkrim Moussaoui","doi":"10.3934/dcds.2023031","DOIUrl":"https://doi.org/10.3934/dcds.2023031","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"20 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74933865","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: 2
Center manifold theory for the 1-dimensional collective motions of camphor disks with delta functions in the $ L^2 $-framework L^2 -框架下具有δ函数的樟脑圆盘一维集体运动的中心流形理论
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023024
K. Ikeda
{"title":"Center manifold theory for the 1-dimensional collective motions of camphor disks with delta functions in the $ L^2 $-framework","authors":"K. Ikeda","doi":"10.3934/dcds.2023024","DOIUrl":"https://doi.org/10.3934/dcds.2023024","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"26 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73584696","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
Boundary layer problem on the chemotaxis model with Robin boundary conditions 具有Robin边界条件的趋化模型的边界层问题
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023108
Qianqian Hou
{"title":"Boundary layer problem on the chemotaxis model with Robin boundary conditions","authors":"Qianqian Hou","doi":"10.3934/dcds.2023108","DOIUrl":"https://doi.org/10.3934/dcds.2023108","url":null,"abstract":"This paper is concerned with the boundary layer problem on a chemotaxis system modelling boundary layer formation of aerobic bacteria in fluid. Completing the system with physical Robin-type boundary conditions for oxygen and no-flux boundary conditions for bacteria, we show that the gradients of its radial solutions in a region between two concentric spheres possessing boundary layer effects as the oxygen diffusion rate $ varepsilon $ goes to zero and the boundary-layer thickness is of order $ mathcal{O}(varepsilon^alpha) $ with $ 0<alpha<frac{1}{2} $.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"249 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135700134","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An eigenvalue problem for a variable exponent problem, via topological degree 通过拓扑度,求解变指数问题的特征值问题
3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023134
Raúl Manásevich, Satoshi Tanaka
{"title":"An eigenvalue problem for a variable exponent problem, via topological degree","authors":"Raúl Manásevich, Satoshi Tanaka","doi":"10.3934/dcds.2023134","DOIUrl":"https://doi.org/10.3934/dcds.2023134","url":null,"abstract":"The problem$ begin{equation*} left{ begin{array}{l} -Delta_{p(|x|)} u - Delta_{q} u = lambda (|u|^{p(|x|)-2}u + |u|^{q-2}u) quad mbox{in} mathcal B , u = 0 quad mbox{on} partial mathcal B end{array} right. end{equation*} $is considered, where $ mathcal B = { x in mathbb{R}^N : |x|<R } $, $ N ge 1 $, $ Delta_{p(|x|)} u = mbox{div} (|nabla u|^{p(|x|)-2}nabla u) $, $ p(r) $ is continuous and satisfies $ p(r)>1 $ on $ [0, R] $, $ Delta_{q} u = mbox{div}(|nabla u|^{q-2}nabla u) $, and $ q>1 $. The existence of positive solutions is proved for every $ lambda>lambda_1(q) $, where $ lambda_1(q) $ is the first eigenvalue of $ q $-Laplacian.","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"5 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":"135560507","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 dynamics of evolution systems with asymptotic annihilation 渐近湮灭演化系统的全局动力学
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023025
Taishan Yi, Xiao-Qiang Zhao
{"title":"Global dynamics of evolution systems with asymptotic annihilation","authors":"Taishan Yi, Xiao-Qiang Zhao","doi":"10.3934/dcds.2023025","DOIUrl":"https://doi.org/10.3934/dcds.2023025","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"46 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77252085","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: 2
Robust non-hyperbolic fibred quadratic polynomial dynamics 鲁棒非双曲纤维二次多项式动力学
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023080
Igsyl Domínguez, M. Ponce
{"title":"Robust non-hyperbolic fibred quadratic polynomial dynamics","authors":"Igsyl Domínguez, M. Ponce","doi":"10.3934/dcds.2023080","DOIUrl":"https://doi.org/10.3934/dcds.2023080","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"28 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72769949","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
Sequence complexity, rigidity and logarithmic Sarnak conjecture 序列复杂性、刚性和对数Sarnak猜想
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2022187
Rui Qiu, R. Wei, Leiye Xu
{"title":"Sequence complexity, rigidity and logarithmic Sarnak conjecture","authors":"Rui Qiu, R. Wei, Leiye Xu","doi":"10.3934/dcds.2022187","DOIUrl":"https://doi.org/10.3934/dcds.2022187","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"58 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72876532","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
Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case 非径向对称条件下具有信号回路、非线性信号产生和竞争源的趋化系统中大密度的出现
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023090
Guangyu Xu
{"title":"Emergence of large densities in a chemotaxis system with signaling loops, nonlinear signal productions and competitions sources under nonradial symmetry case","authors":"Guangyu Xu","doi":"10.3934/dcds.2023090","DOIUrl":"https://doi.org/10.3934/dcds.2023090","url":null,"abstract":"","PeriodicalId":51007,"journal":{"name":"Discrete and Continuous Dynamical Systems","volume":"131 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73736858","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
Normalized solutions for Kirchhoff type equations with combined nonlinearities: The Sobolev critical case 组合非线性Kirchhoff型方程的归一化解:Sobolev临界情况
IF 1.1 3区 数学
Discrete and Continuous Dynamical Systems Pub Date : 2023-01-01 DOI: 10.3934/dcds.2023035
Xiaojing Feng, Haidong Liu, Zhitao Zhang
{"title":"Normalized solutions for Kirchhoff type equations with combined nonlinearities: The Sobolev critical case","authors":"Xiaojing Feng, Haidong Liu, Zhitao Zhang","doi":"10.3934/dcds.2023035","DOIUrl":"https://doi.org/10.3934/dcds.2023035","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":"84313208","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: 2
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