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On global infinite energy solutions to the Navier-Stokes equations in two dimensions. (English) Zbl 1027.35090
This paper studies the bidimensional Navier-Stokes equations with large initial data, in a Besov space. By using Calderon’s procedure and performing a (nonlinear) interpolation between Leray’s solution and Kato’s solution, under some circumstances, the global existence and uniqueness of solutions are proved.

MSC:
35Q30 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
76D05 Navier-Stokes equations for incompressible viscous fluids
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