Journal of Applied Mathematics

Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption

Yulan Wang, Zhaoyin Xiang, and Jinsong Hu

Full-text: Open access

Abstract

We investigate a nonlocal reaction diffusion equation with absorption under Neumann boundary. We obtain optimal conditions on the exponents of the reaction and absorption terms for the existence of solutions blowing up in finite time, or for the global existence and boundedness of all solutions. For the blowup solutions, we also study the blowup rate estimates and the localization of blowup set. Moreover, we show some numerical experiments which illustrate our results.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 648067, 17 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495198

Digital Object Identifier
doi:10.1155/2012/648067

Mathematical Reviews number (MathSciNet)
MR2948129

Zentralblatt MATH identifier
1251.35037

Citation

Wang, Yulan; Xiang, Zhaoyin; Hu, Jinsong. Blowup Analysis for a Nonlocal Diffusion Equation with Reaction and Absorption. J. Appl. Math. 2012 (2012), Article ID 648067, 17 pages. doi:10.1155/2012/648067. https://projecteuclid.org/euclid.jam/1355495198


Export citation