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Existence and stability of steady solutions to nonlinear parabolic‐elliptic systems modelling chemotaxis
Author(s) -
Chen Hua,
Zhong XinHua
Publication year - 2006
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310430
Subject(s) - constant (computer programming) , mathematics , nonlinear system , chemotaxis , stability (learning theory) , mathematical analysis , physics , chemistry , computer science , receptor , biochemistry , quantum mechanics , machine learning , programming language
In this paper, we study the existence of non‐constant steady solutions and the linear stability of constant solutions to nonlinear parabolic‐elliptic system, which actually is a simplified form of the Keller–Segel system modelling chemotaxis. (© 2006 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)