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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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 |
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Mathematics P. Sawangtong W. Jumpen Existence of a blow-up solution for a degenerate parabolic initial-boundary value problem |
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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. |
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King Mongkut's University of Technology North Bangkok |
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King Mongkut's University of Technology North Bangkok P. Sawangtong W. Jumpen |
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Conference or Workshop Item |
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P. Sawangtong W. Jumpen |
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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 |
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2018 |
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https://repository.li.mahidol.ac.th/handle/123456789/29317 |
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1763490736981934080 |