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

Analysis of PDEs 2019-08-07 v1

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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Cite

@article{arxiv.1908.02216,
  title  = {Global well-posedness for the 2-D inhomogeneous incompressible Navier-Stokes system with large initial data in critical spaces},
  author = {Hammadi Abidi and Guilong Gui},
  journal= {arXiv preprint arXiv:1908.02216},
  year   = {2019}
}

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25pages