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Analysis of complex chemotaxis models 复杂趋化性模型的分析
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-07-14 DOI: 10.1142/s0218202523020013
Youshan Tao, M. Winkler
{"title":"Analysis of complex chemotaxis models","authors":"Youshan Tao, M. Winkler","doi":"10.1142/s0218202523020013","DOIUrl":"https://doi.org/10.1142/s0218202523020013","url":null,"abstract":"This preface describes motivational aspects related to a special issue focusing on “analysis of complex chemotaxis models”, and briefly discusses the contributions provided by the six papers contained therein.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44680953","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
Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production 具有流量限制和非线性产生的二维趋化- navier - stokes系统的全局有界性
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-07-06 DOI: 10.1142/s0218202523400067
Wei Wang
{"title":"Global boundedness in a 2D chemotaxis-Navier–Stokes system with flux limitation and nonlinear production","authors":"Wei Wang","doi":"10.1142/s0218202523400067","DOIUrl":"https://doi.org/10.1142/s0218202523400067","url":null,"abstract":"We consider the chemotaxis-Navier–Stokes system with gradient-dependent flux limitation and nonlinear production: [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text] in a bounded domain [Formula: see text], where the flux limitation function [Formula: see text] and the signal production function [Formula: see text] generalize the prototypes [Formula: see text] and [Formula: see text] with [Formula: see text], [Formula: see text] and [Formula: see text]. For the linear production case of [Formula: see text], the global boundedness of solutions has been verified in the related literature for [Formula: see text]. In this paper, we expand to prove that the corresponding initial-boundary value problem possesses a unique globally bounded solution if [Formula: see text] for [Formula: see text], or if [Formula: see text] for [Formula: see text], which shows that when [Formula: see text], that is, the self-enhancement ability of chemoattractant is weak, the solutions still remain globally bounded even though the flux limitation is relaxed to permit proper [Formula: see text]; however, if [Formula: see text], it is necessary to impose the stronger flux limitation than that in the case [Formula: see text] to inhibit the possible finite-time blow-up. This seems to be the first result on the global solvability in the chemotaxis-Navier–Stokes model with nonlinear production.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44511022","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: 1
Critical Mass for Keller-Segel Systems with Supercritical Nonlinear Sensitivity 具有超临界非线性灵敏度的Keller-Segel系统的临界质量
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-06-23 DOI: 10.1142/s0218202523400079
X. Mao, Yuxiang Li
{"title":"Critical Mass for Keller-Segel Systems with Supercritical Nonlinear Sensitivity","authors":"X. Mao, Yuxiang Li","doi":"10.1142/s0218202523400079","DOIUrl":"https://doi.org/10.1142/s0218202523400079","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44709012","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: 1
Global Classical Solvability and Stabilization in a Two-Dimensional Chemotaxis-Fluid System with Sub-Logarithmic Sensitivity 一类具有次对数灵敏度的二维趋化流体系统的全局经典可解性和稳定性
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-06-23 DOI: 10.1142/s0218202523400031
Ji Liu
{"title":"Global Classical Solvability and Stabilization in a Two-Dimensional Chemotaxis-Fluid System with Sub-Logarithmic Sensitivity","authors":"Ji Liu","doi":"10.1142/s0218202523400031","DOIUrl":"https://doi.org/10.1142/s0218202523400031","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41428670","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
Existence of Multi-spikes in the Keller-Segel model with Logistic Growth 具有Logistic增长的Keller-Segel模型中多尖峰的存在性
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-06-23 DOI: 10.1142/s021820252340002x
Fanze Kong, Juncheng Wei, Liangshun Xu
{"title":"Existence of Multi-spikes in the Keller-Segel model with Logistic Growth","authors":"Fanze Kong, Juncheng Wei, Liangshun Xu","doi":"10.1142/s021820252340002x","DOIUrl":"https://doi.org/10.1142/s021820252340002x","url":null,"abstract":"The Keller–Segel model is a paradigm to describe the chemotactic mechanism, which plays a vital role on the physiological and pathological activities of uni-cellular and multi-cellular organisms. One of the most interesting variants is the coupled system with the intrinsic growth, which admits many complex non-trivial patterns. This paper is devoted to the construction of multi-spiky solutions to the Keller–Segel models with the logistic source in 2D. Assuming that the chemo-attractive rate is large, we employ the inner-outer gluing scheme to nonlocal cross-diffusion system and prove the existence of multiple boundary and interior spikes. The numerical simulations are presented to highlight our theoretical results.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43359181","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: 3
Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation 四阶非局部反应扩散方程的拟合与非拟合虚元法
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-06-09 DOI: 10.1142/s0218202523500483
D. Adak, Verónica Anaya, M. Bendahmane, D. Mora
{"title":"Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation","authors":"D. Adak, Verónica Anaya, M. Bendahmane, D. Mora","doi":"10.1142/s0218202523500483","DOIUrl":"https://doi.org/10.1142/s0218202523500483","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47134731","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
Necessary and Sufficient Criteria for Existence, Regularity and Asymptotic Stability of Enhanced Pullback Attractors with Applications to 3D Primitive Equations 三维原始方程中增强回拉吸引子存在性、正则性和渐近稳定性的充分必要判据
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-06-09 DOI: 10.1142/s0218202523500471
Renhai Wang, B. Guo, Daiwen Huang
{"title":"Necessary and Sufficient Criteria for Existence, Regularity and Asymptotic Stability of Enhanced Pullback Attractors with Applications to 3D Primitive Equations","authors":"Renhai Wang, B. Guo, Daiwen Huang","doi":"10.1142/s0218202523500471","DOIUrl":"https://doi.org/10.1142/s0218202523500471","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46618692","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: 1
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy 模拟溶瘤病毒治疗的高维触觉系统解的有界性和大时间行为
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-04-21 DOI: 10.1142/s0218202523500446
Jiashan Zheng, Yuanyuan Ke
{"title":"Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy","authors":"Jiashan Zheng, Yuanyuan Ke","doi":"10.1142/s0218202523500446","DOIUrl":"https://doi.org/10.1142/s0218202523500446","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41271661","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
Singular patterns in Keller–Segel-type models keller - segel型模型中的奇异模式
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-04-13 DOI: 10.1142/s0218202523500392
J. Campos, Carlos Pulido, J. Soler, Mario Veruete
{"title":"Singular patterns in Keller–Segel-type models","authors":"J. Campos, Carlos Pulido, J. Soler, Mario Veruete","doi":"10.1142/s0218202523500392","DOIUrl":"https://doi.org/10.1142/s0218202523500392","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49225205","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
Human behavioral crowds review, critical analysis, and research perspectives 人类行为群体回顾，批判性分析和研究视角
IF 3.5 1区 数学
Mathematical Models & Methods in Applied Sciences Pub Date : 2023-04-13 DOI: 10.1142/s0218202523500379
N. Bellomo, J. Liao, A. Quaini, Lucia Russo, Costantinos Siettos
{"title":"Human behavioral crowds review, critical analysis, and research perspectives","authors":"N. Bellomo, J. Liao, A. Quaini, Lucia Russo, Costantinos Siettos","doi":"10.1142/s0218202523500379","DOIUrl":"https://doi.org/10.1142/s0218202523500379","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":null,"pages":null},"PeriodicalIF":3.5,"publicationDate":"2023-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43883153","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: 5
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