## Abstract and Applied Analysis

### Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness

#### Abstract

Based on classical Lie Group method, we construct a class of explicit solutions of two-dimensional ideal incompressible magnetohydrodynamics (MHD) equation by its infinitesimal generator. Via these explicit solutions we study the uniqueness and stability of initial-boundary problem on MHD.

#### Article information

Source
Abstr. Appl. Anal., Volume 2016, Special Issue (2016), Article ID 8183079, 8 pages.

Dates
Accepted: 20 September 2016
First available in Project Euclid: 25 January 2017

https://projecteuclid.org/euclid.aaa/1485313516

Digital Object Identifier
doi:10.1155/2016/8183079

Mathematical Reviews number (MathSciNet)
MR3590296

Zentralblatt MATH identifier
06929390

#### Citation

Li, Fu-zhi; Yu, Jia-li; Li, Yang-rong; Yang, Gan-shan. Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness. Abstr. Appl. Anal. 2016, Special Issue (2016), Article ID 8183079, 8 pages. doi:10.1155/2016/8183079. https://projecteuclid.org/euclid.aaa/1485313516

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