On asymptotic behaviors of solutions to parabolic systems modelling chemotaxis

DOI10.1016/j.jde.2012.08.028zbMath1263.35037OpenAlexW2277574566MaRDI QIDQ713332

Yoshiyuki Kagei, Yasunori Maekawa

Publication date: 26 October 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2012.08.028

zbMATH Keywords

convergence ratescaling invariancelarge time asymptoticstranslation invarianceKeller-Segel system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Cell movement (chemotaxis, etc.) (92C17) Self-similar solutions to PDEs (35C06)

Related Items (7)

Ill-posedness of the two-dimensional Keller-Segel model in Triebel-Lizorkin spaces ⋮ Three-dimensional stability of Burgers vortices ⋮ Asymptotic behaviors of solutions to evolution equations in the presence of translation and scaling invariance ⋮ Global existence and asymptotic properties of the solution to a two-species chemotaxis system ⋮ Global existence and large time behavior of a 2D Keller-Segel system in logarithmic Lebesgue spaces ⋮ On the differential variational inequalities of parabolic-parabolic type ⋮ Improvement of convergence rates for a parabolic system of chemotaxis in the whole space

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