Periodic entropy solutions to impulsive conservation laws Научная публикация
| Журнал |
Journal of Elliptic and Parabolic Equations
ISSN: 2296-9020 |
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| Вых. Данные | Год: 2026, Страницы: 1-14 Страниц : 14 DOI: 10.1007/s41808-026-00510-3 | ||||
| Ключевые слова | Conservation laws, Impulsive partial differential equation, Initial layer, Entropy solution | ||||
| Авторы |
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Реферат:
In the present paper, we study a conservation law with periodic boundary conditions and an impulsive source term, which contains an approximation ϕε(t) of the Dirac delta function δ(t=0). Along with suppϕε =[0,ε], the scaling mapping t = t ε :[0,ε] → [0, 1] leads to a new problem on the infinitesimal initial layer. In the limit as ε → 0, this new problem enables us to obtain new initial data.
Библиографическая ссылка:
Kuznetsov I.
Periodic entropy solutions to impulsive conservation laws
Journal of Elliptic and Parabolic Equations. 2026. P.1-14. DOI: 10.1007/s41808-026-00510-3 WOS Scopus OpenAlex
Periodic entropy solutions to impulsive conservation laws
Journal of Elliptic and Parabolic Equations. 2026. P.1-14. DOI: 10.1007/s41808-026-00510-3 WOS Scopus OpenAlex
Даты:
| Поступила в редакцию: | 4 февр. 2026 г. |
| Принята к публикации: | 2 авг. 2026 г. |
| Опубликована online: | 21 авг. 2026 г. |
Идентификаторы БД:
| ≡ Web of science: | WOS:001854989100001 |
| ≡ Scopus: | 2-s2.0-105047930734 |
| ≡ OpenAlex: | W7203876330 |