The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System

The inviscid limit problem for the smooth solutions of the Boussinesq system is studied in this paper. We prove the Hs convergence result of this system as the diffusion and the viscosity coefficients vanish with the initial data belonging to Hs. Moreover, the Hs convergence rate is given if we all...

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Bibliographic Details
Main Author: Junlei Zhu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/240387
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Summary:The inviscid limit problem for the smooth solutions of the Boussinesq system is studied in this paper. We prove the Hs convergence result of this system as the diffusion and the viscosity coefficients vanish with the initial data belonging to Hs. Moreover, the Hs convergence rate is given if we allow more regularity on the initial data.
ISSN:1085-3375
1687-0409