Finite-Time Blow-up in a Quasilinear Degenerate Chemotaxis System with Flux Limitation

Acta Applicandae Mathematicae ◽

10.1007/s10440-019-00275-z ◽

2019 ◽

Vol 167 (1) ◽

pp. 231-259 ◽

Author(s):

Yuka Chiyoda ◽

Masaaki Mizukami ◽

Tomomi Yokota

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System ◽

Flux Limitation

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Finite-time blow-up in a degenerate chemotaxis system with flux limitation

Transactions of the American Mathematical Society Series B ◽

10.1090/btran/17 ◽

2017 ◽

Vol 4 (2) ◽

pp. 31-67 ◽

Author(s):

Nicola Bellomo ◽

Michael Winkler

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System ◽

Flux Limitation

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Finite-time blow-up in the three-dimensional fully parabolic attraction-dominated attraction-repulsion chemotaxis system

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125409 ◽

2021 ◽

pp. 125409

Author(s):

Johannes Lankeit

Keyword(s):

Finite Time ◽

Blow Up ◽

Three Dimensional ◽

Chemotaxis System

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Boundedness and finite-time blow-up in a chemotaxis system with nonlinear signal production

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103237 ◽

2021 ◽

Vol 59 ◽

pp. 103237

Author(s):

Wanwan Wang ◽

Yuxiang Li

Keyword(s):

Finite Time ◽

Blow Up ◽

Signal Production ◽

Chemotaxis System ◽

Nonlinear Signal ◽

Nonlinear Signal Production

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Finite time blow-up of nonradial solutions in an attraction–repulsion chemotaxis system

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.09.007 ◽

2017 ◽

Vol 34 ◽

pp. 335-342 ◽

Author(s):

Hao Yu ◽

Qian Guo ◽

Sining Zheng

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System

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Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123376 ◽

2019 ◽

Vol 480 (1) ◽

pp. 123376 ◽

Author(s):

Yan Li

Keyword(s):

Finite Time ◽

Blow Up ◽

Signal Production ◽

Chemotaxis System ◽

Nonlinear Signal ◽

Nonlinear Signal Production ◽

Quasilinear Parabolic

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Finite-time blow-up in a quasilinear chemotaxis system with an external signal consumption

Topological Methods in Nonlinear Analysis ◽

10.12775/tmna.2018.035 ◽

2019 ◽

pp. 1

Author(s):

Pan Zheng ◽

Chunlai Mu ◽

Xuegang Hu ◽

Liangchen Wang

Keyword(s):

Finite Time ◽

Blow Up ◽

External Signal ◽

Chemotaxis System

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Extensibility criterion ruling out gradient blow-up in a quasilinear degenerate chemotaxis system with flux limitation

Journal of Differential Equations ◽

10.1016/j.jde.2019.05.026 ◽

2019 ◽

Vol 267 (9) ◽

pp. 5115-5164 ◽

Author(s):

Masaaki Mizukami ◽

Tatsuhiko Ono ◽

Tomomi Yokota

Keyword(s):

Blow Up ◽

Chemotaxis System ◽

Flux Limitation

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Finite-Time Blow-Up and Local Existence for Chemotaxis System with a General Memory Term

Journal of Partial Differential Equations ◽

10.4208/jpde.v34.n1.5 ◽

2021 ◽

Vol 34 (1) ◽

pp. 67-82

Author(s):

global YingdongWu

Keyword(s):

Finite Time ◽

Blow Up ◽

Local Existence ◽

Memory Term ◽

Chemotaxis System

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Finite-time blow-up and global boundedness for chemotaxis system with strong logistic dampening

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.123876 ◽

2020 ◽

Vol 486 (1) ◽

pp. 123876 ◽

Author(s):

Xinyu Tu ◽

Shuyan Qiu

Keyword(s):

Finite Time ◽

Blow Up ◽

Chemotaxis System ◽

Global Boundedness

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A degenerate chemotaxis system with flux limitation: Maximally extended solutions and absence of gradient blow-up

Communications in Partial Differential Equations ◽

10.1080/03605302.2016.1277237 ◽

2017 ◽

Vol 42 (3) ◽

pp. 436-473 ◽

Author(s):

Nicola Bellomo ◽

Michael Winkler

Keyword(s):

Blow Up ◽

Chemotaxis System ◽

Flux Limitation

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