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Blow-up of viscous heat-conducting compressible flows

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Title: Blow-up of viscous heat-conducting compressible flows
Authors: Cho, Yonggeun Browse this author
Jin, Bum Ja Browse this author
Keywords: Blow-up
Smooth solution
Viscous heat-conducting compressible flow
Issue Date: 15-Aug-2006
Publisher: Elsevier
Journal Title: Journal of Mathematical Analysis and Applications
Volume: 320
Issue: 2
Start Page: 819
End Page: 826
Publisher DOI: 10.1016/j.jmaa.2005.08.005
Abstract: 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.
Type: article (author version)
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 趙 庸根 (Cho, Yonggeun)

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