Nonlinear Instability for the Navier-Stokes Equations |
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Authors: | Susan Friedlander Nataša Pavlović Roman Shvydkoy |
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Institution: | (1) Department of Mathematics Statistics and Computer Science, University of Illinois, Chicago, IL (m/c 249) 60607, USA;(2) Department of Mathematics, Princeton University, Princeton, NJ 08544, USA |
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Abstract: | It is proved, using a bootstrap argument, that linear instability implies nonlinear instability for the incompressible Navier-Stokes
equations in Lp for all p ∈ (1,∞) and any finite or infinite domain in any dimension n. |
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