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Zbl 1168.35416
Fan, Jishan; Ozawa, Tohru
Regularity criteria for the 3D density-dependent Boussinesq equations.
(English)
[J] Nonlinearity 22, No. 3, 553-568 (2009). ISSN 0951-7715; ISSN 1361-6544/e

Summary: We consider the 3D density-dependent Boussinesq equations and the classical Boussinesq equations with partial viscosity terms. We prove some regularity criteria of strong solutions for the Boussinesq equations.
MSC 2000:
*35Q35 Other equations arising in fluid mechanics
76B03 Existence, uniqueness, and regularity theory
35B65 Smoothness of solutions of PDE

Keywords: density-dependent Boussinesq equations; regularity criteria; strong solutions

Cited in: Zbl 1229.35206

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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