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arXiv · 1108.1613

Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids

Du Dapeng·Li Jingyu·Zhang Kaijun
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Abstract

It is shown that the one-dimensional or two-dimensional radially symmetric isothermal compressible Navier-Stokes system has no non-trivial global smooth solutions if the initial density is compactly supported. This result is a generalization of Xin's work \cite{Xin98} to the isothermal case.

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Du Dapeng, Li Jingyu, Zhang Kaijun. 2011-08-08. Blowup of Smooth Solutions to the Navier-Stokes Equations for Compressible Isothermal Fluids. https://arxiv.org/abs/1108.1613

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