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math.AP2011★ 3 cited
Well-posedness of the Viscous Boussinesq System in Besov Spaces of Negative Order Near Index
Chao Deng, Shangbin Cui
This paper is concerned with well-posedness of the Boussinesq system. We prove that the () dimensional Boussinesq system is well-psoed for small initial data $(\vec{u}_0…
math.AP2011★ 5 cited
Random-data Cauchy Problem for the Periodic Navier-Stokes Equations with Initial Data in Negative-order Sobolev Spaces
Chao Deng, Shangbin Cui
In this paper we study existence of solutions of the initial-boundary value problems of the Navier-Stokes equations with a periodic boundary value condition for initial data in the…