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|Title:||Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem|
King Mongkut's University of Technology North Bangkok
Centre of Excellence in Mathematics CHE
|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.|
|Appears in Collections:||Scopus 2006-2010|
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