Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces

Authors

  • Xiaona Cui School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • Changsheng Dou LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
  • Quansen Jiu School of Mathematical Sciences, Capital Normal University, Beijing 100048, China

DOI:

https://doi.org/10.4208/jpde.v25.n3.3

Keywords:

Inviscid Boussinesq system;local well-posedness;blow-up criterion

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≥ 2, under the assumptions that the initial values θ_0, μ_0∈C^r, with 1< r≠ 2.

Downloads

Published

2012-09-02

Issue

Vol. 25 No. 3 (2012)

Section

Articles

Most read articles by the same author(s)