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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A free boundary focusing problem


Authors: Danielle Hilhorst and Josephus Hulshof
Journal: Proc. Amer. Math. Soc. 121 (1994), 1193-1202
MSC: Primary 35R35; Secondary 35B40, 35K55
DOI: https://doi.org/10.1090/S0002-9939-1994-1233975-9
MathSciNet review: 1233975
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Abstract: We consider a one-dimensional free boundary problem arising in combustion theory and establish that all solutions are asymptotically equal to a similarity solution which vanishes in a finite time.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1233975-9
Keywords: Free boundary problem, similarity variables, maximum principle, asymptotic behaviour
Article copyright: © Copyright 1994 American Mathematical Society