Local well-posedness and blow up criterion for the Inviscid Boussinesq system in Hölder spaces

Abstract

We prove the local in time existence and a blow up criterion of solution in the Hölder spaces for the inviscid Boussinesq system in $R^N,N\ge 2$, under the assumptions that the initial values ${\theta }_0,u_0\in C^r$, with $r>1$.

20 pages