Lower bounds for the blow-up time in a non-local reaction–diffusion problem
نویسندگان
چکیده
منابع مشابه
On the blow-up of a non-local parabolic problem
We investigate the conditions under which the solution of the initial-boundary value problem of the non-local equation ut = u + λ f (u)/( ∫ Ω f (u) dx) p , where Ω is a bounded domain of RN and f (u) is a positive, increasing, convex function, performs blow-up. c © 2005 Elsevier Ltd. All rights reserved.
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A first order differential inequality technique is used on suitably defined auxiliary functions to determine lower bounds for blow-up time in initial-boundary value problems for parabolic equations of the form ut = div ( ρ(u)gradu )+ f (u) if blow-up occurs. In addition, conditions which ensure that blow-up occurs or does not occur are presented. © 2007 Elsevier Inc. All rights reserved.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 2011
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.12.042