Boundedness in a fully parabolic chemotaxis‐consumption system with nonlinear diffusion and sensitivity, and logistic source

Monica Marras and Giuseppe Viglialoro

Mathematische Nachrichten, 2018, vol. 291, issue 14-15, 2318-2333

Abstract: In this paper we study the zero‐flux chemotaxis‐system ut=∇·((u+1)m−1∇u−u(u+1)α−1χ(v)∇v)+ku−μu2,x∈Ω,t>0,vt=Δv−vu,x∈Ω,t>0,Ω being a convex smooth and bounded domain of Rn, n≥1, and where m,k∈R, μ>0 and α 0. We prove that for nonnegative and sufficiently regular initial data u(x,0) and v(x,0), the corresponding initial‐boundary value problem admits a unique globally bounded classical solution provided μ is large enough.

Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://doi.org/10.1002/mana.201700172

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bla:mathna:v:291:y:2018:i:14-15:p:2318-2333

Ordering information: This journal article can be ordered from
http://www.blackwell ... bs.asp?ref=0025-584X

Access Statistics for this article

Mathematische Nachrichten is currently edited by Robert Denk

More articles in Mathematische Nachrichten from Wiley Blackwell
Bibliographic data for series maintained by Wiley Content Delivery ().