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Уфимский математический журнал, 2012, том 4, выпуск 4, страницы 196–207
(Mi ufa181)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness
N. H. Ibragimovab, C. Rogerscd
a Laboratory Group analysis of mathematical models in natural and engineering sciences, Ufa State Aviation Technical University, Ufa, Russia
b Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, Karlskrona, Sweden
c Clare Hall, University of Cambridge, UK
d Australian Research Council Centre of Excellence for Mathematics and Statistics of Complex Systems, School of Mathematics and Statistics, University of New South Wales, Sydney, Australia
Аннотация:
Bateman-type reciprocal transformations are represented as non-local infinitesimal symmetries of the governing equations of steady, two-dimensional, inviscid gasdynamics. In particular, this representation allows the construction of a novel non-local conservation law using the recently introduced concept of nonlinear self-adjointness.
Ключевые слова:
Bateman-type reciprocal transformations, gasdynamics, non-local symmetries and conservation laws.
Поступила в редакцию: 09.11.2012
Образец цитирования:
N. H. Ibragimov, C. Rogers, “On infinitesimal reciprocal-type transformations in gasdynamics. Lie group connections and nonlinear self-adjointness”, Уфимск. матем. журн., 4:4 (2012), 196–207
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/ufa181 https://www.mathnet.ru/rus/ufa/v4/i4/p196
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| Страница аннотации: | 484 | | PDF полного текста: | 156 | | Список литературы: | 51 | | Первая страница: | 2 |
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