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

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

2010-09-21

arxiv.org/abs/1009.4098v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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 $R^{N},N\geq2$,
under the assumptions that the initial values $\theta_{0},u_{0}\in C^{r}$, with
$r>1$.

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