Global Solvability and Decay Properties for a $p$-Laplacian Diffusive Keller-Segel Model

Authors

  • Yi Lu
  • Chunhua Jin

DOI:

https://doi.org/10.4208/csiam-am.SO-2022-0038

Keywords:

Keller-Segel model, $p$-Laplacian, strong solution, boundedness, decay rate.

Abstract

In this paper, we consider the global well-posedness of solutions to a parabolic-parabolic Keller-Segel model with $p$-Laplace diffusion. We first establish a critical exponent $p^∗=3N/(N+1)$ and prove that when $p> p^∗,$ the solution exists globally for arbitrary large initial value. When $1

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Published

2024-11-29

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Issue

Vol. 5 No. 4 (2024)

Section

Articles

How to Cite

Global Solvability and Decay Properties for a $p$-Laplacian Diffusive Keller-Segel Model. (2024). CSIAM Transactions on Applied Mathematics, 5(4), 671-711. https://doi.org/10.4208/csiam-am.SO-2022-0038