It is proved that linear instability implies nonlinear instability for the Navier Stokes equations in L^p, p > 1. The result holds in all spatial dimensions and both finite domains and R^n. The method of proof uses a bootstrap argument. This is joint work with Roman Shvydkoy and Natasa Pavlovic. Friedlander: Nonlinear Instability for the Navier Stokes Equations

Lecture #12213

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