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arXiv:0804.1549 [math.AP]AbstractReferencesReviewsResources

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

Olga Rozanova

Published 2008-04-09, updated 2008-11-26Version 2

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.

Comments: 14 pages, submitted
Journal: Journal of Differential Equations Volume 245, Issue 7, 1 October 2008, Pages 1762-1774
Categories: math.AP, math-ph, math.MP
Subjects: 53Q30
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