Blow up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
arXiv:0804.1549 · doi:10.1016/j.jde.2008.07.007
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.
14 pages, submitted