NO FORMATION OF A NEW PHASE FOR A FREE BOUNDARY PROBLEM IN COMBUSTION THEORY

FURUKAWA, KEN; GIGA, YOSHIKAZU; KAJIWARA, NAOTO

Hokkaido University Preprint Series in Mathematics, 2024, 1160, 1-18

Permalink : https://doi.org/10.14943/111786

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アクセス権	open access
DOI	https://doi.org/10.14943/111786
URI	https://hdl.handle.net/2115/93235
タイトル	NO FORMATION OF A NEW PHASE FOR A FREE BOUNDARY PROBLEM IN COMBUSTION THEORY
著者	FURUKAWA, KEN ; GIGA, YOSHIKAZU ; KAJIWARA, NAOTO
e-Rad_Researcher 70895309 著者名 FURUKAWA, KEN
e-Rad_Researcher 70144110 著者名 GIGA, YOSHIKAZU
e-Rad_Researcher 40843131 著者名 KAJIWARA, NAOTO
言語	英語
発行日	2024-10-25
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	1160
ページ	1-18
抄録	We consider a free boundary problem for the heat equation with a given non-negative external heat source. On the free boundary, we impose the zero Dirichlet condition and the fixed normal derivative so that heat escapes from the boundary. In various settings, we show that there exist no solutions when the initial temperature equals the fixed temperature no matter where the initial location of the free boundary is given provided that the external heat source is bounded from above. We also note that there is a chance to have a solution when the external temperature is unbounded as time tends to zero by giving a self-similar solution.
資源タイプ	紀要論文
出版タイプ	Version of Record