Global existence for non-homogeneous incompressible inviscid fluids in
presence of Ekman pumping
Global existence for non-homogeneous incompressible inviscid fluids in
presence of Ekman pumping
In this paper, we study the global solvability of the density-dependent incompressible Euler equations, supplemented with a damping term of the form $ \mathfrak{D}_{\alpha}^{\gamma}(\rho, u) = \alpha \rho^{\gamma} u $, where $\alpha>0$ and $ \gamma \in \{0,1\} $. To some extent, this system can be seen as a simplified model …