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Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows

Authors
  • Liu, Xin
  • Titi, Edriss S
Publication Date
Sep 01, 2020
Source
eScholarship - University of California
Keywords
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Abstract

Abstract We establish the local and global well-posedness of strong solutions to the two- and three-dimensional anelastic equations of stratified viscous flows. In this model, the interaction of the density profile with the velocity field is taken into account, and the density background profile is permitted to have physical vacuum singularity. The existing time of the solutions is infinite in two dimensions, with general initial data, and in three dimensions with small initial data.

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