THE QUENCHING OF SOLUTIONS OF A REACTION-DIFFUSION EQUATION WITH FREE BOUNDARIES.
In: Bulletin of the Australian Mathematical Society, Jg. 94 (2016-08-01), Heft 1, S. 110-120
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Zugriff:
This paper concerns the quenching phenomena of a reaction-diffusion equation ut = uxx + 1/(1 - u) in a one dimensional varying domain [g(t), h(t)], where g(t) and h(t) are two free boundaries evolving by a Stefan condition. We prove that all solutions will quench regardless of the choice of initial data, and we also show that the quenching set is a compact subset of the initial occupying domain and that the two free boundaries remain bounded. [ABSTRACT FROM AUTHOR]
Titel: |
THE QUENCHING OF SOLUTIONS OF A REACTION-DIFFUSION EQUATION WITH FREE BOUNDARIES.
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Autor/in / Beteiligte Person: | NINGKUI, SUN |
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Zeitschrift: | Bulletin of the Australian Mathematical Society, Jg. 94 (2016-08-01), Heft 1, S. 110-120 |
Veröffentlichung: | 2016 |
Medientyp: | academicJournal |
ISSN: | 0004-9727 (print) |
DOI: | 10.1017/S0004972715001549 |
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