On the toroidal surfaces of revolution with constant mean curvatures [О тороидальных поверхностях вращения с постоянной средней кривизной]

It is shown that the surface with constant mean curvature encloses the extremal volume among all toroidal surfaces of given area. The exact solution for the corresponding variational problem is derived, and its parametric analysis is performed in the limits of high and small mean curvatures. An absence of smooth torus with constant mean curvature is proved, and the extremal surface is demonstrated to have at least one edge located on the outer side of the torus. © 2016 National Research Center Kurchatov Institute. All rights reserved.

Авторы
Издательство
National Research Center Kurchatov Institute
Номер выпуска
1
Язык
Русский
Страницы
22-29
Статус
Опубликовано
Том
39
Год
2016
Организации
  • 1 NRC «Kurchatov Institute», Moscow, Russian Federation
  • 2 Peoples' Friendship University of Russia, Moscow, Russian Federation
  • 3 National Research Nuclear University «MEPhI», Moscow, Russian Federation
Ключевые слова
Surfaces with constant mean curvature; Tokamak; Tori
Дата создания
20.04.2021
Дата изменения
20.04.2021
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/72941/
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