一类带反应项的 Othmer-Stevens型趋化模型解的存在性

Abstract

Abstract:

In this paper, the authors study an initial-boundary value problem of Othmer-Stevens chemotaxis system with reaction term in the master equation

{∂u/∂t=D∨(u ∨ln u/Φ(x, t, w))+ f(x, t, u),

∂w/∂t=g(x, t, u, w),

u∨ln u/Φ(x, t, w) ?n^→=0.
They prove that there exists a unique solution if the boundary ∂Ω ∈^C2+β, the functions Φ(x, t, w), f(x, t, u) and g(x, t, u, w) are sufficiently smooth.

Key words: Chemotaxis, Othmer-Stevens model, Compact operator, Fixed point

CLC Number:

35K57

LI Jun-Feng, LIU Wei-An. Existence of Solution to Some Othmer-Stevens Chemotaxis System with Reaction Term[J].Acta mathematica scientia,Series A, 2009, 29(6): 1561-1571.

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References

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Existence of Solution to Some Othmer-Stevens Chemotaxis System with Reaction Term

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