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

Xiaona Cui; Changsheng Dou; Quansen Jiu

doi:10.4208/jpde.v25.n3.3

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.

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Published

2012-09-02

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Issue

Vol. 25 No. 3 (2012)

Section

Articles

How to Cite

Local Well-posedness and Blow Up Criterion for the Inviscid Boussinesq System in Hölder Spaces. (2012). Journal of Partial Differential Equations, 25(3), 220-238. https://doi.org/10.4208/jpde.v25.n3.3