Publication Date:
2012-03-21
Description:
This paper is devoted to the global existence and uniqueness results for the three-dimensional Boussinesq system with axisymmetric initial data v 0 ∈B 5/2 2,1(R 3 ) and ρ 0 ∈B 1/2 2,1(R 3 )∩L p (R 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 (see [2]) is not known to be valid and to circumvent this difficulty we use in a crucial way some geometric properties of the vorticity. Content Type Journal Article Pages 89-121 DOI 10.3233/ASY-2011-1074 Authors Samira Sulaiman, IRMAR, Université de Rennes 1, Campus de Beaulieu, 35 042 Rennes cedex, France. E-mail: samira.sulaiman@univ-rennes1.fr Journal Asymptotic Analysis Online ISSN 1875-8576 Print ISSN 0921-7134 Journal Volume Volume 77 Journal Issue Volume 77, Number 1-2 / 2012
Print ISSN:
0921-7134
Electronic ISSN:
1875-8576
Topics:
Mathematics
