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

How to cite

top

Herrero, 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

top
  1. [E] S.D. Eidelman, Parabolic systems, North-Holland, Amsterdam, 1969. Zbl0181.37403MR252806
  2. [FL] R.M. Ford - D.A. Lauffenburger, Analysis of chemotactical bacterial distribution in population migration assays using a mathematical model applicable to steep or shallow attractant gradients, Bull. Math. Biol.53 (1991), 721-749. Zbl0729.92029
  3. [KS] E.F. Keller - L.A. Segel, Initiation ofslime mold aggregation viewed as an instability, J. Theor. Biol.26 (1970), 399-415. Zbl1170.92306
  4. [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
  5. [HV1] M.A. Herrero - J.J.L. Velázquez, Singularity patterns in a chemotaxis model, Math. Ann.306 (1996), 583-623. Zbl0864.35008MR1415081
  6. [HV2] M.A. Herrero - J.J.L. Velázquez, Chemotactic collapse for the Keller-Segel model, J. Math. Biol.35 (1996),177-194. Zbl0866.92009MR1478048
  7. [N] T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Adv. Math. Sci. Appl. (1995), 1-21. Zbl0843.92007MR1361006

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.