Finite-Time Blow-up in a Quasilinear Degenerate Chemotaxis System with Flux Limitation
Author:
Funder
Japan Society for the Promotion of Science
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10440-019-00275-z.pdf
Reference24 articles.
1. Bellomo, N., Winkler, M.: A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Commun. Partial Differ. Equ. 42, 436–473 (2017)
2. Bellomo, N., Winkler, M.: Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Trans. Am. Math. Soc. Ser. B 4, 31–67 (2017)
3. Cao, X.: Global bounded solutions of the higher-dimensional Keller–Segel system under smallness conditions in optimal spaces. Discrete Contin. Dyn. Syst. 35, 1891–1904 (2015)
4. Cieślak, T., Stinner, C.: Finite-time blowup and global-in-time unbounded solutions to a parabolic–parabolic quasilinear Keller–Segel system in higher dimensions. J. Differ. Equ. 252, 5832–5851 (2012)
5. Cieślak, T., Stinner, C.: Finite-time blowup in a supercritical quasilinear parabolic–parabolic Keller–Segel system in dimension 2. Acta Appl. Math. 129, 135–146 (2014)
Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Behavior in time of solutions to a degenerate chemotaxis system with flux limitation;Nonlinear Analysis: Real World Applications;2025-02
2. Global entropy solutions to a degenerate parabolic–parabolic chemotaxis system for flux-limited dispersal;Nonlinear Analysis: Real World Applications;2024-10
3. Boundedness and finite-time blow-up in a Keller–Segel chemotaxis-growth system with flux limitation;Zeitschrift für angewandte Mathematik und Physik;2024-09-12
4. Local existence and global boundedness for a chemotaxis system with gradient dependent flux limitation;Mathematical Models and Methods in Applied Sciences;2024-06-25
5. Instability of homogeneous steady states in chemotaxis systems with flux limitation;Nonlinear Analysis;2024-06
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3