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 |