Journal of Jishou University(Natural Sciences Edition) ›› 2021, Vol. 42 ›› Issue (1): 1-9.DOI: 10.13438/j.cnki.jdzk.2021.01.001

• Mathematics •     Next Articles

Uniform Blow-up and Estimation of Boundary-Layer for Nonlocal Parabolic Equations

LIN Zhiqiang   

  1. (Fuzhou Institute of Technology, Fuzhou 350506, China)
  • Online:2021-01-25 Published:2021-02-05

Abstract: We consider the properties of solutions of reaction-diffusion system ut-Δu=∫Ωuα1dx∫Ωvβ1dx,vt-Δv=∫Ωuα2dx∫Ωvβ2dx, and obtain the uniform blow-up profiles of solutions, and the estimates of boundary layer.

Key words: nonlinear parabolic system, nonlocal source, blow-up, boundary layer

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