Title:
Well-Posedness of Strong Solutions to the Anelastic Equations of Stratified Viscous Flows
Author(s):
Liu, Xin; Titi, Edriss S.
Year of publication:
2020
Available Date:
2021-04-19T14:10:36Z
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.
Part of Identifier:
ISSN (print): 1422-6928
e-ISSN (online): 1422-6952
Keywords:
Anelastic approximation
Well-posedness
Physical vacuum
Stratified flows
DDC-Classification:
510 Mathematik
Publication Type:
Wissenschaftlicher Artikel
URL of the Original Publication:
DOI of the Original Publication:
Journaltitle:
Journal of Mathematical Fluid Mechanics
Department/institution:
Mathematik und Informatik
Institut für Mathematik
Comments:
Die Publikation wurde aus Open Access Publikationsgeldern der Freien Universität Berlin gefördert.
