Blow-up of viscous heat-conducting compressible flows

Cho, Yonggeun; Jin, Bum Ja

Journal of Mathematical Analysis and Applications, 2006, 320(2), 819-826

Permalink : https://hdl.handle.net/2115/14420

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アクセス権	open access
URI	https://hdl.handle.net/2115/14420
タイトル	Blow-up of viscous heat-conducting compressible flows
著者	著者名 Cho, Yonggeun
著者	著者名 Jin, Bum Ja
言語	英語
キーワード	Blow-up
	Smooth solution
	Viscous heat-conducting compressible flow
発行日	2006-08-15
出版者	Elsevier
収録物名	Journal of Mathematical Analysis and Applications
巻(号)	320(2)
ページ	819-826
抄録	We show the blow-up of strong solution of viscous heat-conducting flow when the initial density is compactly supported. This is an extension of Z. Xin's result[5] to the case of positive heat conduction coefficient but we do not need any information for the time decay of total pressure nor the lower bound of the entropy. We control the lower bound of second moment by total energy and obtain the exact relationship between the size of support of initial density and the existence time. We also provide a sufficient condition for the blow-up in case that the initial density is positive but has a decay at infinity.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0022-247X
EISSN	1096-0813
関連情報	URI http://www.sciencedirect.com/science/journal/0022247X
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.jmaa.2005.08.005