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Abstract We establish a global well‐posedness of mild solutions to the three‐dimensional, incompressible Navier‐Stokes equations if the initial data are in the space X^-1 defined by amssym X^‐1 = \f {D^ (R³): ₑ³||^‐1|f|d < \} and if the norms of the initial data in X^-1 are bounded exactly by the viscosity coefficient μ. © 2010 Wiley Periodicals, Inc.
Lei et al. (Tue,) studied this question.
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