On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces

Details On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces

2012-03-16

arxiv.org/abs/1203.3719v1

Mathematics

Analysis of PDEs

Asymptotic Analysis journal, (2011)

Scientific paper

This paper is devoted to the global existence and uniqueness results for the three-dimensional Boussinesq system with axisymmetric initial data $v^{0}{\in}B_{2,1}^{5/2}(\RR^3)$ and$ ${\rho}^{0}{\in}B_{2,1}^{1/2}(\RR^3)\cap L^{p}(\RR^3)$ with $p>6.$ This system couples the incompressible Euler equations with a transport-diffusion equation governing the density. In this case the Beale-Kato-Majda criterion is not known to be valid and to circumvent this difficulty we use in a crucial way some geometric properties of the vorticity.

Affiliated with

Also associated with

No associations

Rating

On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Global Existence for the Axisymmetric Euler-Boussinesq System in Critical Besov Spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351993