IDEAS home Printed from https://ideas.repec.org/a/bla/mathna/v294y2021i7p1374-1383.html
   My bibliography  Save this article

Large time behavior of solutions to a chemotaxis system with singular sensitivity and logistic source

Author

Listed:
  • Jiaqin Li
  • Zhongping Li

Abstract

In this paper, we study the following chemotaxis system with singular sensitivity and logistic source ut=Δu−χ∇·uv∇v+ru−μuk,x∈Ω,t>0,vt=Δv−v+u,x∈Ω,t>0,in a smooth bounded convex domain Ω⊂Rn (n≥2) with the non‐flux boundary, where χ,r,μ>0,k>2. The boundedness of solutions has been proved in the case that n≥2, k>3(n+2)n+4 and r, χ>0 satisfying χ2

Suggested Citation

  • Jiaqin Li & Zhongping Li, 2021. "Large time behavior of solutions to a chemotaxis system with singular sensitivity and logistic source," Mathematische Nachrichten, Wiley Blackwell, vol. 294(7), pages 1374-1383, July.
    • Handle: RePEc:bla:mathna:v:294:y:2021:i:7:p:1374-1383
    DOI: 10.1002/mana.201900302
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/mana.201900302
    Download Restriction: no
    File URL: https://libkey.io/10.1002/mana.201900302?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Masaaki Mizukami & Tomomi Yokota, 2017. "A unified method for boundedness in fully parabolic chemotaxis systems with signal-dependent sensitivity," Mathematische Nachrichten, Wiley Blackwell, vol. 290(16), pages 2648-2660, November.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      More about this item

      Statistics

      Access and download statistics

      Corrections

      All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:mathna:v:294:y:2021:i:7:p:1374-1383. See general information about how to correct material in RePEc.

      If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

      If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

      For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0025-584X .

      Please note that corrections may take a couple of weeks to filter through the various RePEc services.

      IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.