Moment Estimates and Higher-Order Asymptotic Expansions of Solutions to a Parabolic System of Chemotaxis in the Whole Space

DOI10.1619/fesi.54.15zbMath1221.35100OpenAlexW1978168819MaRDI QIDQ2999730

Tetsuya Yamada

Publication date: 16 May 2011

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1619/fesi.54.15

zbMATH Keywords

large-time behaviourparabolic-parabolic Keller-Segel system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Semilinear parabolic equations (35K58)

Related Items (4)

Asymptotic expansions of solutions of the Cauchy problem for nonlinear parabolic equations ⋮ The basin of attraction of the steady-states for a chemotaxis model in \(\mathbb R^2\) with critical mass ⋮ Improvement of convergence rates for a parabolic system of chemotaxis in the whole space ⋮ Asymptotics for a nonlinear integral equation with a generalized heat kernel

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