Dispersive effects of weakly compressible and fast rotating inviscid fluids
Language
en
Article de revue
This item was published in
Discrete and Continuous Dynamical Systems - Series A. 2018, vol. 38, n° 2, p. 749-789
American Institute of Mathematical Sciences
English Abstract
We consider a system describing the motion of an isentropic, inviscid, weakly com-pressible, fast rotating fluid in the whole space R^3 , with initial data belonging to H^s(R^3) , s > 5/2. We prove that the system admits ...Read more >
We consider a system describing the motion of an isentropic, inviscid, weakly com-pressible, fast rotating fluid in the whole space R^3 , with initial data belonging to H^s(R^3) , s > 5/2. We prove that the system admits a unique local strong solution in L^∞([0, T ]; H^s(R^3)) , where T is independent of the Rossby and Mach numbers. Moreover, using Strichartz-type estimates, we prove that the solution is almost global, i.e. its lifespan is of the order of ε^(−α) , α > 0, without any smallness assumption on the initial data (the initial data can even go to infinity in some sense), provided that the rotation is fast enough.Read less <
Origin
Hal imported