## Abstract and Applied Analysis

### The Inviscid Limit Behavior for Smooth Solutions of the Boussinesq System

Junlei Zhu

#### 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

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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