Well-posedness of the viscous boussinesq system in besov spaces of negative regular index s =-1

作者：Deng, Chao^*; Cui, Shangbin

来源：Journal of Mathematical Physics, 2012, 53(7): 073101.

DOI：10.1063/1.4732521

This paper is concerned with well-posedness of the natural convection in a viscous incompressible fluid. We first prove that the n-dimensional Boussinesq system is well-posed for initial data ((u) over right arrow (0), theta(0)) either belonging to (B-infinity,1(-1) boolean AND B-infinity,infinity(-1,1)) x B-p,r(-1) or to B-infinity,infinity(-1,1) x B-p,infinity(-1,epsilon) with 1 <= r <= infinity, n/2 < p < infinity, epsilon > 0 and then we prove that this system is well-posed for initial data belonging to (B-infinity,1(-1) boolean AND B-infinity,infinity(-1,1)) x (B-n/2-1(-1) boolean AND B-n/2,infinity(-1,1)). well-posedness; B-p,r(s,alpha) (L) over tilde (rho)(T)(B-p,r(s,alpha)).

• 出版日期2012-7
• 单位中山大学