Volume 35, Issue 4
Global Existence and Blow-up for a Two-Dimensional Attraction-Repulsion Chemotaxis System

Min Xiao & Zhongping Li

Commun. Math. Res., 35 (2019), pp. 318-334.

Published online: 2019-12

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  • Abstract

This paper is devoted to dealing with the parabolic-elliptic-elliptic attraction-repulsion chemotaxis system. We aim to understand the competition among the repulsion, the attraction, the nonlinear productions and give conditions of global existence and blow-up for the two-dimensional attraction-repulsion chemotaxis system.

  • Keywords

chemotaxis, attraction-repulsion, global boundedness, nonradial solution, blow-up.

  • AMS Subject Headings

35K55, 32O92, 35B35, 92C17

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

1090904268@qq.com (Min Xiao)

zhongpingli80@126.com (Zhongping Li)

  • BibTex
  • RIS
  • TXT
@Article{CMR-35-318, author = {Xiao , Min and Li , Zhongping}, title = {Global Existence and Blow-up for a Two-Dimensional Attraction-Repulsion Chemotaxis System}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {35}, number = {4}, pages = {318--334}, abstract = {

This paper is devoted to dealing with the parabolic-elliptic-elliptic attraction-repulsion chemotaxis system. We aim to understand the competition among the repulsion, the attraction, the nonlinear productions and give conditions of global existence and blow-up for the two-dimensional attraction-repulsion chemotaxis system.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2019.04.03}, url = {http://global-sci.org/intro/article_detail/cmr/13558.html} }
TY - JOUR T1 - Global Existence and Blow-up for a Two-Dimensional Attraction-Repulsion Chemotaxis System AU - Xiao , Min AU - Li , Zhongping JO - Communications in Mathematical Research VL - 4 SP - 318 EP - 334 PY - 2019 DA - 2019/12 SN - 35 DO - http://doi.org/10.13447/j.1674-5647.2019.04.03 UR - https://global-sci.org/intro/article_detail/cmr/13558.html KW - chemotaxis, attraction-repulsion, global boundedness, nonradial solution, blow-up. AB -

This paper is devoted to dealing with the parabolic-elliptic-elliptic attraction-repulsion chemotaxis system. We aim to understand the competition among the repulsion, the attraction, the nonlinear productions and give conditions of global existence and blow-up for the two-dimensional attraction-repulsion chemotaxis system.

Min Xiao & Zhong-ping Li. (2019). Global Existence and Blow-up for a Two-Dimensional Attraction-Repulsion Chemotaxis System. Communications in Mathematical Research . 35 (4). 318-334. doi:10.13447/j.1674-5647.2019.04.03
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