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

Year:    2012

Author:    Xiaona Cui, Changsheng Dou, Quansen Jiu

Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 3 : pp. 220–238

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

Journal of Partial Differential Equations, Vol. 25 (2012), Iss. 3 : pp. 220–238

Published online:    2012-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Inviscid Boussinesq system

Author Details

Xiaona Cui

Changsheng Dou

Quansen Jiu

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