On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation

Details On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation On the Analyticity of Solutions to the Navier-Stokes Equations with Fractional Dissipation

2007-03-29

arxiv.org/abs/math/0703864v1

Mathematics

Analysis of PDEs

Scientific paper

By using a new bilinear estimate, a pointwise estimate of the generalized
Oseen kernel and an idea of fractional bootstrap, we show in this note that
solutions to the Navier-Stokes equations with fractional dissipation are
analytic in space variables.

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