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Application of Ibragimov's method and Noether's theorem for constructing conservation laws of the linear elasticity model
Blekinge Institute of Technology, Faculty of Engineering, Department of Mathematics and Natural Sciences.
2014 (English)Independent thesis Advanced level (degree of Master (Two Years))Student thesis
Abstract [en]

In this thesis, conservation laws of the Lame equation describing linear elasticity have been constructed. This has been done by the implementation of two theorems for constructing conservation laws: the new theorem suggested by N H.Ibragimov, and the classical theorem presented by E.Noether. As a result one can see that the Ibragimov method provides more conservation laws than the Noether theorem, which may suggest the better efficiency of the Ibragimov method.

Place, publisher, year, edition, pages
2014. , 54 p.
Keyword [en]
conservation law, Noether's theorem, Ibragimov's method, formal Lagrangian, linear elasticity, the Lame equation.
National Category
Mathematics Mathematical Analysis Mechanical Engineering
URN: urn:nbn:se:bth-3008Local ID: diva2:830303
Available from: 2015-04-22 Created: 2014-06-04 Last updated: 2015-06-30Bibliographically approved

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Department of Mathematics and Natural Sciences
MathematicsMathematical AnalysisMechanical Engineering

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