Abstract
This paper studies the bidimensional Navier–Stokes equations with large initial data in the homogeneous Besov space . As long as r,q < +∞, global existence and uniqueness of solutions are proved. We also prove that weak–strong uniqueness holds for the d-dimensional equations with data in L 2(ℝd) for d/r+ 2/q≥ 1.
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Accepted May 11, 2001¶Published online January 28, 2002
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Gallagher, I., Planchon, F. On Global Infinite Energy Solutions¶to the Navier-Stokes Equations¶in Two Dimensions. Arch. Rational Mech. Anal. 161, 307–337 (2002). https://doi.org/10.1007/s002050100175
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DOI: https://doi.org/10.1007/s002050100175