Decay in chemotaxis systems with a logistic term
Marras M.
;Vernier-Piro S.;Viglialoro G.
2020-01-01
Abstract
This paper is concerned with a general fully parabolic Keller-Segel system, defined in a convex bounded and smooth domain Ω of RN , for N ∈ {2, 3}, with coefficients depending on the chemical concentration, perturbed by a logistic source and endowed with homogeneous Neumann boundary conditions. For each space dimension, once a suitable energy function in terms of the solution is defined, we impose proper assumptions on the data and an exponential decay of such energies is established.File | Size | Format | |
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