Journal of Nonlinear Mathematical Physics

Volume 5, Issue 3, August 1998, Pages 314 - 330

Application of the Group-Theoretical Method to Physical Problems

Authors
Mina B. ABD-EL-MALEK
Corresponding Author
Mina B. ABD-EL-MALEK
Available Online 1 August 1998.
DOI
https://doi.org/10.2991/jnmp.1998.5.3.6How to use a DOI?
Abstract
The concept of the theory of continuous groups of transformations has attracted the attention of applied mathematicians and engineers to solve many physical problems in the engineering sciences. Three applications are presented in this paper. The first one is the problem of time-dependent vertical temperature distribution in a stagnant lake. Two cases have been considered for the forms of the water parameters, namely water density and thermal conductivity. The second application is the unsteady freeconvective boundary-layer flow on a non-isothermal vertical flat plate. The third application is the study of the dispersion of gaseous pollutants in the presence of a temperature inversion. The results are found in closed form and the effect of parameters are discussed.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
5 - 3
Pages
314 - 330
Publication Date
1998/08
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.1998.5.3.6How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Mina B. ABD-EL-MALEK
PY  - 1998
DA  - 1998/08
TI  - Application of the Group-Theoretical Method to Physical Problems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 314
EP  - 330
VL  - 5
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1998.5.3.6
DO  - https://doi.org/10.2991/jnmp.1998.5.3.6
ID  - ABD-EL-MALEK1998
ER  -