New reductions of the unsteady axisymmetric boundary layer equation to ODEs and simpler PDEs

Aksenov, A.V.; Kozyrev, A.A.

Статья опубликована в высокорейтинговом журнале

Информация о цитировании статьи получена из Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 13 июля 2022 г.

Авторы: Aksenov A.V., Kozyrev A.A.
Журнал: Mathematics
Том: 10
Номер: 10
Год издания: 2022
Издательство: MDPI
Местоположение издательства: Basel, Switzerland
Первая страница: 1
Последняя страница: 17
Номер статьи: 1673
DOI: 10.3390/math10101673
Аннотация: Reductions make it possible to reduce the solution of a PDE to solving an ODE. The best known are the traveling wave, self-similar and symmetry reductions. Classical and non-classicalsymmetries are also used to construct reductions, as is the Clarkson–Kruskal direct method. Recently,authors have proposed a method for constructing reductions of PDEs with two independent variablesbased on the idea of invariance. The proposed method in this work is a modification of the Clarkson–Kruskal direct method and expands the possibilities for its application. The main result of this articleconsists of a method for constructing reductions that generalizes the previously proposed approachto the case of three independent variables. The proposed method is used to construct reductions ofthe unsteady axisymmetric boundary layer equation to ODEs and simpler PDEs. All reductions ofthis equation were obtained.
Добавил в систему: Аксенов Александр Васильевич

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New reductions of the unsteady axisymmetric boundary layer equation to ODEs and simpler PDEsстатья

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