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Large-time behavior in an attraction--repulsion chemotaxis system
Hiroshi Wakui, Tetsuya Yamada
We investigate the large-time behavior of small perturbations of stable constant steady states for an attraction-repulsion chemotaxis system in -dimensional Euclidean space. We…
Stability of the critical constant steady state of a Keller--Segel model
Nobuhito Miyake, Hiroshi Wakui, Tetsuya Yamada
In this paper, we prove the asymptotic stability of the critical constant steady state for a simplified parabolic--elliptic Keller--Segel system in (), whic…
Stability of constant steady states of a chemotaxis model
Szymon Cygan, Grzegorz Karch, Krzysztof Krawczyk +1
The Cauchy problem for the parabolic--elliptic Keller--Segel system in the whole -dimensional space is studied. For this model, every constant is a stationary…
Large self-similar solutions of the parabolic-elliptic Keller--Segel model
Piotr Biler, Grzegorz Karch, Hiroshi Wakui
We construct radial self-similar solutions of the, so called, minimal parabolic-elliptic Keller--Segel model in several space dimensions with radial, nonnegative initial conditions…