Self-Adjointness and Quasi-Self-Adjointness of the Magma Equation
| Document type: | Conference Presentations |
|---|---|
| Peer reviewed: | Yes |
| Author(s): | Raisa Khamitova |
| Title: | Self-Adjointness and Quasi-Self-Adjointness of the Magma Equation |
| Conference name: | 2nd Conference on Non-linear science and complexity: session MOGRAN XII |
| Year: | 2008 |
| City: | Porto, Portugal |
| Organization: | Blekinge Institute of Technology |
| Department: | School of Engineering - Dept. Mathematics and Science (Sektionen för teknik – avd. för matematik och naturvetenskap) School of Engineering S- 371 79 Karlskrona +46 455 38 50 00 http://www.tek.bth.se/ |
| Authors e-mail: | rkh@bth.se |
| Language: | English |
| Abstract: | A recent theorem on nonlocal conservation laws is applied to a magma equation modelling a melt migration through the Earth´s mantle. It is shown that the equation in question is quasi-self-adjoint. The self-adjoint equations are singled out. Nonlocal and local conservation densities are obtained using the symmetries of the magma equation. |
| Subject: | Mathematics\Analysis |
| Keywords: | conservation laws, self-adjointness, quasi-self-adjointness, magma equation, Lie group analysis |
