A blow-up mechanism for a chemotaxis model
Miguel A. Herrero; Juan J. L. Velazquez
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1997)
- Volume: 24, Issue: 4, page 633-683
- ISSN: 0391-173X
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topHerrero, Miguel A., and Velazquez, Juan J. L.. "A blow-up mechanism for a chemotaxis model." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 24.4 (1997): 633-683. <http://eudml.org/doc/84273>.
@article{Herrero1997,
author = {Herrero, Miguel A., Velazquez, Juan J. L.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {homogeneous Neumann conditions; Dirac-delta type singularity in finite time; inner layer around the unfolding singularity},
language = {eng},
number = {4},
pages = {633-683},
publisher = {Scuola normale superiore},
title = {A blow-up mechanism for a chemotaxis model},
url = {http://eudml.org/doc/84273},
volume = {24},
year = {1997},
}
TY - JOUR
AU - Herrero, Miguel A.
AU - Velazquez, Juan J. L.
TI - A blow-up mechanism for a chemotaxis model
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1997
PB - Scuola normale superiore
VL - 24
IS - 4
SP - 633
EP - 683
LA - eng
KW - homogeneous Neumann conditions; Dirac-delta type singularity in finite time; inner layer around the unfolding singularity
UR - http://eudml.org/doc/84273
ER -
References
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- [KS] E.F. Keller - L.A. Segel, Initiation ofslime mold aggregation viewed as an instability, J. Theor. Biol.26 (1970), 399-415. Zbl1170.92306
- [JL] W. Jäger And S. Luckhaus, On explosions of solutions to a system ofpartial differential equations modelling chemotaxis, Trans. Amer. Math. Soc.329 (1992), 819-824. Zbl0746.35002MR1046835
- [HV1] M.A. Herrero - J.J.L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann.306 (1996), 583-623. Zbl0864.35008MR1415081
- [HV2] M.A. Herrero - J.J.L. Velázquez, Chemotactic collapse for the Keller-Segel model, J. Math. Biol.35 (1996),177-194. Zbl0866.92009MR1478048
- [N] T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl. (1995), 1-21. Zbl0843.92007MR1361006
Citations in EuDML Documents
top- Ji Liu, Jia-Shan Zheng, Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source
- Fujie, Kentarou, Senba, Takasi, A generalization of the Keller-Segel system to higher dimensions from a structural viewpoint
- Kleber Carrapatoso, The parabolic-parabolic Keller-Segel equation
- D. Wrzosek, Volume Filling Effect in Modelling Chemotaxis
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