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Интеллектуальная Система Тематического Исследования НАукометрических данных |
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Local Solvability, Blow-up, and Hölder Regularity of Solutions to Some Cauchy Problems for Nonlinear Plasma Wave Equations: I. Green Formulasстатья
- Авторы: Korpusov M.O., Ovsyannikov E.A.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 62
- Номер: 10
- Год издания: 2022
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 1609
- Последняя страница: 1631
- DOI: 10.1134/S096554252209007X
- Аннотация: Abstract—Three nonlinear equations for ion acoustic and drift waves in a plasma are derived. The fun-damental solution of the common linear part of the resulting nonlinear equations is constructed, andits smoothness properties are studied. Next, the second Green formula in a bounded domain is con-structed, which is then used to derive the third Green formula in a bounded domain. Finally, two vari-ants of the third Green formula in the entire space are constructed in a certain class of functions.
- Добавил в систему: Корпусов Максим Олегович