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Well-posedness and analyticity for quasi-geostrophic equation in the Besov-Morrey spaces characterized by semi-group

20241 citationOpen accessUniversité Sultan Moulay Slimane

Abstract

In this work, we show the existence and uniqueness, the analyticity of the solutions and the decay estimates of the solutions of the quasi-geostrophic equation (QG) in the Besov-Morrey spaces charterized by the semigroup T?:= e-t(-?)?, noted by Nsp,?. If we assume that the initial data ?0 are small and belong to t he Besov-Morrey critical spaces, we obtain the global well-posedness results of the QG equation.

Research topics

  • Navier-Stokes equation solutions
  • Advanced Mathematical Physics Problems
  • advanced mathematical theories

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DOI: 10.2298/fil2417237k

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