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Pré-Publication, Document De Travail Année : 2016

DISPERSIVE EFFECTS OF WEAKLY COMPRESSIBLE AND FAST ROTATING INVISCID FLUIDS

Résumé

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.
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Dates et versions

hal-01396780 , version 1 (15-11-2016)
hal-01396780 , version 2 (15-11-2016)

Identifiants

  • HAL Id : hal-01396780 , version 1

Citer

Van-Sang Ngo, Stefano Scrobogna. DISPERSIVE EFFECTS OF WEAKLY COMPRESSIBLE AND FAST ROTATING INVISCID FLUIDS. 2016. ⟨hal-01396780v1⟩
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