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arXiv · 0804.1549

Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations

Olga Rozanova
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Abstract

We prove that the smooth solutions to the Cauchy problem for the Navier-Stokes equations with conserved mass, total energy and finite momentum of inertia loses the initial smoothness within a finite time in the case of space of dimension 3 or greater even if the initial data are not compactly supported.

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Olga Rozanova. 2008-11-26. Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations. https://doi.org/10.1016/j.jde.2008.07.007

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