ABSTRACT
In this note, we deal with incompressible inviscid 2-D flows interacting with a passive scalar under the external potential force f, (i.e., rot f=0), which described by the Boussinesq equations:
where u=(u 1 (x, t), u 2 (x, t)), θ=θ(x, t) and p=p(x, t) denote the unknown velocity vector field, the unknown scalar (e.g. temperature) and the unknown pressure of the fluid at the point respectively, while u 0, θ 0 are given initial date.
