Stability of constant steady states and existence of unbounded solutions in time to a reaction–diffusion equation modelling chemotaxis

Toshitaka Nagai,Tatsuyuki Nakaki

doi:10.1016/j.na.2003.11.014

Stability of constant steady states and existence of unbounded solutions in time to a reaction–diffusion equation modelling chemotaxis

Toshitaka Nagai, Tatsuyuki Nakaki

https://doi.org/10.1016/j.na.2003.11.014

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Journal: Nonlinear Analysis	Publication Date: Jul 8, 2004
Citations: 8

Affiliation: Hiroshima University, Kyushu University

#Existence Of Unbounded Solutions #Constant States + Show 8 more

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Abstract

We consider the initial boundary value problem to a reaction–diffusion equation modelling chemotaxis in one space-dimension under Neumann boundary conditions. We study the stability of constant steady states and show that there exists an unbounded solution in time induced by the instability of constant steady states.

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