Global strong solution for the compressible Navier Stokes system with large rotationnally invariant initial data in dimension N ≥ 2
Résumé
We show the existence of global strong solution for compressible Navier-Stokes equations with shallow water viscosity coefficients when the initial data are large and rotationally invariant. In dimension N = 2 we consider general initial data of the form (ρ 0 (|x|), u 0 (x)) with u 0 (x) = ∇θ(|x|) + ∇ ⊥ ψ(|x|) with θ and ψ sufficiently regular. In dimension N = 3 we deal with radially symmetric initial data (ρ 0 (|x|), ∇θ(|x|)).
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