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Title: Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
Authors: P. Sawangtong
W. Jumpen
King Mongkut's University of Technology North Bangkok
Mahidol University
Centre of Excellence in Mathematics CHE
Keywords: Mathematics
Issue Date: 1-Dec-2010
Citation: International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2010), 13-18
Abstract: Here, before blow-up occurs, we establish the existence and uniqueness of a blow-up solution of a degenerate parabolic initial-boundary value problem,xqut-(xβux) x=xq(u) where q and β are given constants and f is a suitable function. We further give the sufficient condition to blow-up in finite time. Finally the blow-up set of a blow-up solution u is shown.
ISSN: 17924332
Appears in Collections:Scopus 2006-2010

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