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

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

2008-04-09

arxiv.org/abs/0804.1549v2

Journal of Differential Equations Volume 245, Issue 7, 1 October 2008, Pages 1762-1774

Mathematics

Analysis of PDEs

14 pages, submitted

Scientific paper

10.1016/j.jde.2008.07.007

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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