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

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.

arXiv comment14 pages, submitted

References in corpus (1)

• Generalized momenta of mass and their applications to the flow of compressible fluid

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