摘要
In this paper, we consider the quasilinear chemotaxis system (⋆){ut=∇⋅(D(u)∇u)−∇⋅(S(u)∇v)+f(u),x∈Ω,t>0,vt=Δv−v+u,x∈Ω,t>0 in a bounded domain Ω⊂Rn(n≥2) under zero-flux boundary conditions, where the nonlinearities D,S∈C2([0,∞)) are supposed to generalize the prototypes D(u)=CD(u+1)m−1andS(u)=CSu(u+1)q−1 with CD,CS>0 and m,q∈R, and f∈C1([0,∞)) satisfies f(u)≤r−buγ with r≥0,b>0 and γ>1. It is shown that if [Formula presented], then (⋆) has a unique globally bounded classical solution.
源语言 | 英语 |
---|---|
页(从-至) | 113-130 |
页数 | 18 |
期刊 | Nonlinear Analysis: Real World Applications |
卷 | 38 |
DOI | |
出版状态 | 已出版 - 1 12月 2017 |
指纹
探究 'Boundedness in a quasilinear fully parabolic Keller–Segel system with logistic source' 的科研主题。它们共同构成独一无二的指纹。引用此
Wang, Y., & Liu, J. (2017). Boundedness in a quasilinear fully parabolic Keller–Segel system with logistic source. Nonlinear Analysis: Real World Applications, 38, 113-130. https://doi.org/10.1016/j.nonrwa.2017.04.010