Artículo de revista
Threshold condition for global existence and blow-up to a radially symmetric drift–diffusion system
Fecha
2012Registro en:
Applied Mathematics Letters 25 (2012) 352–356
doi:10.1016/j.aml.2011.09.013
Autor
Conca Rosende, Carlos
Espejo, Elio
Institución
Resumen
For a class of drift–diffusion systems Kurokiba et al. [M. Kurokiba, T. Nagai, T. Ogawa,
The uniform boundedness and threshold for the global existence of the radial solution
to a drift–diffusion system, Commun. Pure Appl. Anal. 5 (2006) 97–106.] proved global
existence and uniform boundedness of the radial solutions when the L1-norm of the initial
data satisfies a threshold condition. We prove in this letter that this result prescribes a
region in the plane of masses which is sharp in the sense that if the drift–diffusion system is
initiated outside the threshold region of global existence, then blow-up is possible: suitable
initial data can be built up in such a way that the corresponding solution blows up in a finite
time.