Abstract and Applied Analysis

The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System

Junlei Zhu

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Abstract

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

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 240387, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511861

Digital Object Identifier
doi:10.1155/2013/240387

Mathematical Reviews number (MathSciNet)
MR3045082

Zentralblatt MATH identifier
1291.35242

Citation

Zhu, Junlei. The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System. Abstr. Appl. Anal. 2013 (2013), Article ID 240387, 9 pages. doi:10.1155/2013/240387. https://projecteuclid.org/euclid.aaa/1393511861


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