Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces

Hammadi Abidi; Guilong Gui

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arXiv · 1908.02216

Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces

Hammadi Abidi·Guilong Gui

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Abstract

Without any smallness assumption, we prove the global unique solvability of the 2-D incompressible inhomogeneous Navier-Stokes equations with initial data in the critical Besov space, which is almost the energy space in the sense that they have the same scaling in terms of this 2-D system.

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Hammadi Abidi, Guilong Gui. 2019-08-06. Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces. https://arxiv.org/abs/1908.02216

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