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On the global regularity for a 3D Boussinesq model without thermal diffusion. (English) Zbl 1433.35304

Summary: In a recent paper [Z. Angew. Math. Phys. 68, No. 4, Paper No. 83, 9 p. (2017; Zbl 1379.35258)], Z. Ye proved the global persistence of regularity for a 3D Boussinesq model in \(H^s(\mathbb{R}^3) \times H^s(\mathbb{R}^3)\) with \(s>5/2\). In this paper, we show that the global persistence and uniqueness still hold when \(s>3/2\).

MSC:

35Q35 PDEs in connection with fluid mechanics
35B65 Smoothness and regularity of solutions to PDEs
35A02 Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness
76D05 Navier-Stokes equations for incompressible viscous fluids

Citations:

Zbl 1379.35258
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References:

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