Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness
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.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/8183079 |
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doaj-1898581cf23349e3a72cbd2ee64559a62020-11-24T23:52:42ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/81830798183079Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-PosednessFu-zhi Li0Jia-li Yu1Yang-rong Li2Gan-shan Yang3School of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaSchool of Mathematics and Statistics, Southwest University, Chongqing 400715, ChinaSchool of Mathematics and Computer Science, Yunnan Minzu University, Kunming, Yunnan 650500, ChinaBased 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.http://dx.doi.org/10.1155/2016/8183079 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Fu-zhi Li Jia-li Yu Yang-rong Li Gan-shan Yang |
| spellingShingle |
Fu-zhi Li Jia-li Yu Yang-rong Li Gan-shan Yang Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness Abstract and Applied Analysis |
| author_facet |
Fu-zhi Li Jia-li Yu Yang-rong Li Gan-shan Yang |
| author_sort |
Fu-zhi Li |
| title |
Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness |
| title_short |
Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness |
| title_full |
Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness |
| title_fullStr |
Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness |
| title_full_unstemmed |
Lie Group Solutions of Magnetohydrodynamics Equations and Their Well-Posedness |
| title_sort |
lie group solutions of magnetohydrodynamics equations and their well-posedness |
| publisher |
Hindawi Limited |
| series |
Abstract and Applied Analysis |
| issn |
1085-3375 1687-0409 |
| publishDate |
2016-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2016/8183079 |
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