We study in the whole space Rn the behaviour of solutions to the Boussinesq equations at large distances. Therefore, we investigate the solvability of these equations in weighted L∞-spaces and determine the asymptotic profile for sufficiently fast decaying initial data. For n=2,3 we are able to construct initial data such that the velocity exhibits an interesting concentration-diffusion phenomenon.
- instationary Boussinesq equations
- mild and strong solutions
- rate of decay in space
- weighted spaces
ASJC Scopus subject areas