КФУ. Карточка публикации. A new approach to investigation of Maxwell equations in spherical coordinates

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A NEW APPROACH TO INVESTIGATION OF MAXWELL EQUATIONS IN SPHERICAL COORDINATES

Форма представления

Статьи в российских журналах и сборниках

Год публикации

2015

Авторы, сотрудники КФУ

Плещинский Николай Борисович, автор

Тумаков Дмитрий Николаевич, автор

Библиографическое описание на языке оригинала

Pleshchinskii N.B., Tumakov D.N. A new approach to investigation of Maxwell equations in spherical coordinates // Lobachevskii Journal of Mathematics. – 2015. – Vol. 36, No. 1. – P. 15–27.

Аннотация

In this article general solution to the Maxwell equations in spherical coordinates is constructed. The method of expansion of unknown functions into series of spherical harmonics is used. It is shown that the exterior boundary value problems for the Maxwell equations have the unique oriented solutions, and the interior boundary value problems have non-trivial solutions in the case of resonance. Necessary and sufficient solvability conditions of over-determined boundary value problems for the Maxwell equations are found.

Ключевые слова

Maxwell set of equations, spherical coordinates, over-determined boundary value problem

Название журнала

Lobachevskii J. Math.

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https://repository.kpfu.ru/?p_id=98528

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Плещинский Николай Борисович	ru_RU
dc.contributor.author	Тумаков Дмитрий Николаевич	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
dc.identifier.citation	Pleshchinskii N.B., Tumakov D.N. A new approach to investigation of Maxwell equations in spherical coordinates // Lobachevskii Journal of Mathematics. – 2015. – Vol. 36, No. 1. – P. 15–27.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=98528	ru_RU
dc.description.abstract	Lobachevskii J. Math.	ru_RU
dc.description.abstract	In this article general solution to the Maxwell equations in spherical coordinates is constructed. The method of expansion of unknown functions into series of spherical harmonics is used. It is shown that the exterior boundary value problems for the Maxwell equations have the unique oriented solutions, and the interior boundary value problems have non-trivial solutions in the case of resonance. Necessary and sufficient solvability conditions of over-determined boundary value problems for the Maxwell equations are found.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Maxwell set of equations	ru_RU
dc.subject	spherical coordinates	ru_RU
dc.subject	over-determined boundary value problem	ru_RU
dc.title	A new approach to investigation of Maxwell equations in spherical coordinates	ru_RU
dc.type	Статьи в российских журналах и сборниках	ru_RU