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...

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Main Authors: P. Sawangtong, W. Jumpen
Other Authors: King Mongkut's University of Technology North Bangkok
Format: Conference or Workshop Item
Published: 2018
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Online Access:https://repository.li.mahidol.ac.th/handle/123456789/29317
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spelling th-mahidol.293172018-09-24T16:12:12Z Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem P. Sawangtong W. Jumpen King Mongkut's University of Technology North Bangkok Mahidol University Centre of Excellence in Mathematics CHE Mathematics 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. 2018-09-24T09:12:12Z 2018-09-24T09:12:12Z 2010-12-01 Conference Paper International Conference on Applied Mathematics, Simulation, Modelling - Proceedings. (2010), 13-18 17924332 2-s2.0-77957007473 https://repository.li.mahidol.ac.th/handle/123456789/29317 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=77957007473&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
P. Sawangtong
W. Jumpen
Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
description 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.
author2 King Mongkut's University of Technology North Bangkok
author_facet King Mongkut's University of Technology North Bangkok
P. Sawangtong
W. Jumpen
format Conference or Workshop Item
author P. Sawangtong
W. Jumpen
author_sort P. Sawangtong
title Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
title_short Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
title_full Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
title_fullStr Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
title_full_unstemmed Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
title_sort existence of a blow-up solution for a degenerate parabolic initial-boundary value problem
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/29317
_version_ 1763490736981934080