Local Well-Posedness and Blow Up Criterion for the Inviscid Boussinesq System in H(o)lder Spaces

摘要

We prove the local in time existence and a blow up criterion of solution in the H(o)lder spaces for the inviscid Boussinesq system in (IR)N,N ≥ 2,under the assumptions that the initial values θ0,u0 ∈ Cr,with 1 ＜ r ≠2.