International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2010), 13-18
Suggested Citation
P. Sawangtong, W. Jumpen Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem. International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2010), 13-18. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29317
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Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
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.
