Blow-up of the viscous heat-conducting compressible flow

Preprint Series # 680
Cho, Yonggeun and Jin, Bum Ja Blow-up of the viscous heat-conducting compressible flow. (2004);

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Abstract

We show the blow-up of smooth solution of viscous heat-conducting flow when the initial density is compactly supported. This is an extension of Z. Xin's result\cite{xin} to the case of positive heat conduction coefficient but we do not need any information for the lower bound of the entropy. We control the lower bound of second moment by total energy.

Item Type: Preprint blow-up, smooth solution, viscous heat-conducting compressible flow 35-xx PARTIAL DIFFERENTIAL EQUATIONS 663