Blow-up and delay for a parabolic–elliptic Keller–Segel system with a source term

Autor: Yujuan Jiao, Wenjing Zeng
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Boundary Value Problems, Vol 2018, Iss 1, Pp 1-10 (2018)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-018-1013-z
Popis: Abstract In this paper, we are concerned with the parabolic–elliptic Keller–Segel system with a positive source term in a bounded domain in RN ${\mathbb{R}}^{N}$ ( N=2,3 $N=2,3$), under homogeneous Dirichlet boundary condition, with time-dependent coefficients. Lower bounds for the blow-up time if the solutions blow up in finite time are derived under appropriate assumptions on data. Moreover, the exponential decay of the associated energies is also studied.
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