Open AccessUniform Blow-Up Rates and Asymptotic Estimates of Solutions for Diffusion Systems with Nonlocal Sources
Author(s) -
Zhoujin Cui,
Zuodong Yang
Publication year - 2007
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2007/87696
Subject(s) - algorithm , diffusion , boundary (topology) , computer science , physics , mathematics , thermodynamics , mathematical analysis
This paper investigates the local existence of the nonnegative solution and the finite time blow-up of solutions and boundary layer profiles of diffusion equations with nonlocal reaction sources; we also study the global existence and that the rate of blow-up is uniform in all compact subsets of the domain, the blow-up rate of |u(t)|∞ is precisely determined
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom