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Asymptotic decay for a generalized Boussinesq system. (English) Zbl 1157.35459

Summary: We study the large time behavior of solutions to a generalization of the Boussinesq system of equations in \(n \geq 2\) spatial dimensions. We establish the existence and algebraic decay of the \(L^2\)-norm of the solution.

MSC:

35Q35 PDEs in connection with fluid mechanics
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35B40 Asymptotic behavior of solutions to PDEs
76D99 Incompressible viscous fluids
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