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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… Click to show full 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.
Keywords:
elliptic keller;
parabolic elliptic;
segel system;
keller segel;
source term
Journal Title: Boundary Value Problems
Year Published: 2018
Link to full text (if available)
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Journal Title: Boundary Value Problems
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!