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Well-posedness and inviscid limits of the Boussinesq equations with fractional Laplacian dissipation. (English) Zbl 1301.35115

MSC:
35Q35 PDEs in connection with fluid mechanics
35B35 Stability in context of PDEs
35B65 Smoothness and regularity of solutions to PDEs
76D03 Existence, uniqueness, and regularity theory for incompressible viscous fluids
35R11 Fractional partial differential equations
86A05 Hydrology, hydrography, oceanography
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