On the dynamics of a mixed parabolic-gradient system | Zendy

Johannes Krottje | Zendy

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On the dynamics of a mixed parabolic-gradient system

Author(s) -

Johannes Krottje

Publication year - 2003

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2003.2.521

Subject(s) - parabolic partial differential equation , dynamics (music) , steady state (chemistry) , mathematical analysis , mathematics , physics , partial differential equation , chemistry , acoustics

In the current paper the dynamics of a mixed parabolic-gradient system is examined. Thesystem, which is a coupled system of parabolic equations and gradient equations, acts as afirst model for the outgrowth of axons in a developing nervous system. For modeling considerationsit is relevant to know the influence of the parameters in the system and the sourceprofiles in the parabolic equations on the dynamics. These subjects are discussed togetherwith an approximation which uses the...

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