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
Authors e-mail:
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