Dispersive effects of weakly compressible and fast rotating inviscid fluids
Dispersive effects of weakly compressible and fast rotating inviscid fluids
We consider a system describing the motion of an isentropic, inviscid, weakly compressible, fast rotating fluid in the whole space $\mathbb{R}^3$, with initial data belonging to $ H^s \left( \mathbb{R}^3 \right), s>5/2 $. We prove that the system admits a unique local strong solution in $ L^\infty \left( [0,T]; H^s\left( …