Blow-up of the viscous heat-conducting compressible flow

Blow-up of the viscous heat-conducting compressible flow
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发表时间:
2005-11
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通讯作者:
Yonggeun Cho;B. Jin
Yonggeun Cho;B. Jin
中科院分区:
其他
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作者:
Yonggeun Cho;B. Jin

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在初始密度为紧支撑的情况下,给出了粘性热传导流光滑解的爆破现象。这是Z. Xin的结果\cite{xin}在热传导系数为正的情况下的扩展,但是我们不需要关于熵的下界的任何信息。我们用总能量来控制二阶矩的下界。
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.