A note on non-simultaneous blow-up for a drift-diffusion model

Differential and Integral Equations

Volumn 23, Issue 5-6, 2010, Pages 451-462

  Espejo, E E ^a   Stevens, A ^b   Velazquez J J L ^c  

^a DEPARTAMENTO DE FÍSICA   (Chile)

^b UNIVERSITY OF HEIDELBERG   (Germany)

^c UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80955171388     PISSN: 08934983     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (6)

1. E. Espejo, A. Stevens, and J.J.L. Velázquez, Simultaneous finite time blow-up in a two-species model for chemotaxis, Analysis, 29 (2009), 317-338.
2. W. Jäger and S. Luckhaus, On explosions of solutions to a system of partial differential equations modelling chemotaxis, Trans. Amer. Math. Soc., 329 (1992), 819-824.
3. M. Kurokiba and T. Ogawa, Finite time Blow-up of the solution for a nonlinear parabolic equation of Drift-Diffusion type, Differential Integral Equations, 16 (2003), 427-452. (Pubitemid 36594516)
4. O.A. Ladyzhenskaya, V.A. Solonnikov, and N.N. Uraltseva, "Linear and Quasilinear Equations of the Parabolic Type," Moscow, Nauka (1967).
5. T. Nagai, Blow-up of radially symmetric solutions to a chemotaxis system, Advances in Mathematical Scienes and Applications, 5, (1995), 581-601.
6. G. Wolansky, Multi-components chemotactic system in the absence of conflicts, European J. Appl. Math., 13 (2002), 641-661.