Optimal Local Smoothing and Analyticity Rate Estimates for the Generalized Navier-stokes Equations
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چکیده
By using a new bilinear estimate, a pointwise estimate of the generalized Oseen kernel and an idea of fractional bootstrap, we establish optimal local smoothing and decay estimates of solutions to the Navier-Stokes equations with fractional dissipation. We also show that solutions are analytic in space variables.
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تاریخ انتشار 2008