论文标题

一些三维粘性压缩流的锯齿蛋白型爆破标准,具有较大的外部电势力

Some Serrin type blow-up criteria for the three-dimensional viscous compressible flows with large external potential force

论文作者

Suen, Anthony

论文摘要

我们为3-D粘性压缩流提供具有较大外部电势力的3-D粘性压缩流。对于具有潜在力项的3-D可压缩Navier-Stokes系统的Cauchy问题,可以证明,如果速度满足锯齿蛋白的状况和密度的SUP-NORM,则在全球存在强溶液。此外,在没有真空的等温流量的情况下,可以从声称的标准中删除锯齿蛋白在速度上的状况。

We provide a Serrin type blow-up criterion for the 3-D viscous compressible flows with large external potential force. For the Cauchy problem of the 3-D compressible Navier-Stokes system with potential force term, it can be proved that the strong solution exists globally if the velocity satisfies the Serrin's condition and the sup-norm of the density is bounded. Furthermore, in the case of isothermal flows with no vacuum, the Serrin's condition on the velocity can be removed from the claimed criterion.

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