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

Published version
Peer-reviewed

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Authors

Titi, Edriss S. 

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.

Description

Funder: John Simon Guggenheim Memorial Foundation; doi: http://dx.doi.org/10.13039/100005851


Funder: Einstein Stiftung Berlin; doi: http://dx.doi.org/10.13039/501100006188

Keywords

Article, Anelastic approximation, Well-posedness, Physical vacuum, Stratified flows, 35Q30, 35Q86, 76D03, 76D05

Journal Title

Journal of Mathematical Fluid Mechanics

Conference Name

Journal ISSN

1422-6928
1422-6952

Volume Title

22

Publisher

Springer International Publishing