Abstract
In this paper, we shall prove that the Koch-Tataru solution u to the incompressible Navier-Stokes equations in ℝd satisfies the decay estimates involving some borderline Besov norms with d ⩾ 3. Moreover, u has a unique trajectory which is Hölder continuous with respect to the space variables.
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Dedicated to the NSFC-CNRS Chinese-French summer institute on fluid mechanics in 2010
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Zhang, P., Zhang, T. Regularity of the Koch-Tataru solutions to Navier-Stokes system. Sci. China Math. 55, 453–464 (2012). https://doi.org/10.1007/s11425-011-4344-0
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DOI: https://doi.org/10.1007/s11425-011-4344-0