Тип публикации: статья из журнала
Год издания: 2025
Идентификатор DOI: 10.1134/S003744662503019X
Ключевые слова: Lie symmetry, group classification problem, heat and mass transfer equations
Аннотация: We study the symmetry properties of heat and mass transfer equations. The group classification problem is solved with respect to two transport coefficients (diffusion and heat diffusivity) and two coefficients corresponding to the effects of thermal diffusion (Soret effect) and diffusion thermal conductivity (Dufour effect). These Показать полностьюfour parameters depend on temperature and concentration. In some cases, we determine all admissible forms of the classified functions. In the most complicated cases, we obtain relationships between the classified parameters and the corresponding admitted generators.
Журнал: Siberian Mathematical Journal
Выпуск журнала: Т. 66, № 3
Номера страниц: 832-844
ISSN журнала: 00374466
Место издания: Moscow
Издатель: Pleiades Publishing, Ltd.