On the global well-posedness of a class of Boussinesq- Navier-Stokes systems
نویسندگان
چکیده
In this paper we consider the following 2D Boussinesq-Navier-Stokes systems ∂tu+ u · ∇u+∇p+ |D|u = θe2 ∂tθ + u · ∇θ + |D|θ = 0 with divu = 0 and 0 < β < α < 1. When 6− √ 6 4 < α < 1, 1−α < β ≤ f(α), where f(α) is an explicit function as a technical bound, we prove global well-posedness results for rough initial data. Mathematics Subject Classification (2000): 76D03, 76D05, 35B33, 35Q35
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