Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral. (April 2018)

• Record Type: Journal Article
• Authors: Wang, Heng-Ling; Tao, Wei-Run; Wang, Xiao-Liu
• Is Part Of: Nonlinear analysis. Volume 40(2018)
• Page Start: 55
• Page End: 63
• Publication Date: 2018-04
• Subjects: Blow-up -- Asymptotic behaviour -- Parabolic equation -- Nonlocal term; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2017.08.015
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this note we investigate the evolution behaviour of the solutions to a nonlocal parabolic equation with conserved spatial integral. For the non-global solutions, the blow-up rate for L p norm of the solutions is estimated from below. For several classes of initial data, the convergence of the global solutions is established.