Inlämning av Examensarbete / Submission of Thesis

Erkan Karagözlü , pp. 41. ING/School of Engineering, 2012.

The work

Författare / Author: Erkan Karagözlü
erkankaragozlu@hotmail.com
Titel / Title: Investigation of the Mathematical Model of Acoustic Waves in a Fluid with Bubbles Using Lie Group Analysis Method
Översatt titel / Translated title: Investigation of the Mathematical Model of Acoustic Waves in a Fluid with Bubbles Using Lie Group Analysis Method
Abstrakt Abstract:

This thesis comprises investigation of the mathematical model of acoustic waves in a fluid with bubbles for nonlinear self-adjointness, Lie point symmetries, conservation laws and invariant solutions. It is based on the theory developed recently by Prof. Nail Ibragimov. It is shown that the systems of differential equations describing the model are nonlinearly self-adjoint. The symmetries are calculated and the conservation laws are constructed using the formal Lagrangian.
In addition, invariant solutions are derived.

Ämnesord / Subject: Mathematics\Analysis
Mathematics\General
Nyckelord / Keywords: Acoustic waves, fluid with bubbles, formal Lagrangian, nonlinear self-adjointness, Lie group analysis, conservation law, invariant solution

Publication info

Dokument id / Document id: houn-8svf43
Program:/ Programme Mathematical Modelling and Simulation
Registreringsdatum / Date of registration: 03/30/2012
Uppsatstyp / Type of thesis: Masterarbete/Master's Thesis (120 credits)

Context

Handledare / Supervisor: Raisa Khamitova, Nail Ibragimov
raisa.khamitova@bth.se, nailhib@gmail.com
Examinator / Examiner: Claes Jogréus
Organisation / Organisation: Blekinge Institute of Technology
Institution / School: ING/School of Engineering

+46 455 38 50 00

Files & Access

Bifogad uppsats fil(er) / Files attached: bth2012karagozlu.pdf (206 kB, öppnas i nytt fönster)