Construction and estimation of stable solutions of Cauchy problems increasing on the initial time interval | Sciact - Система учета научной деятельности ИМ СО РАН

Construction and estimation of stable solutions of Cauchy problems increasing on the initial time interval Научная публикация

Журнал

Сибирские электронные математические известия (Siberian Electronic Mathematical Reports)
, E-ISSN: 1813-3304

Вых. Данные

Год: 2026, Том: 23, Номер: 1, Страницы: 532-553 Страниц : 22 DOI: 10.33048/semi.2026.23.033

Ключевые слова

Cauchy problem, stability, spectral criterion, matrix spectrum dichotomy.

Авторы

Biberdorf E.A. ¹ , Wang L. ²

Организации

1	Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
2	Novosibirsk State University, ul. Pirogova, 1, 630090, Novosibirsk, Russia

Информация о финансировании (1)

Министерство науки и высшего образования РФ

FWNF-2026-0028

Two algorithms are presented that allow one to find initial data for asymptotically stable solutions to Cauchy problems for ODE systems that are increasing over the initial time interval. One algorithm uses eigenvectors, while the other is based on the matrix spectrum dichotomy method. Using these algorithms, locally increasing solutions were constructed for the flutter models and the Navier-Stokes system linearized in the neighborhood of plane-parallel Poiseuille flow. A two-sided estimate for the maximum norm of these solutions was obtained.

Biberdorf E.A. , Wang L.
Construction and estimation of stable solutions of Cauchy problems increasing on the initial time interval
Сибирские электронные математические известия (Siberian Electronic Mathematical Reports). 2026. V.23. N1. P.532-553. DOI: 10.33048/semi.2026.23.033 Scopus

Поступила в редакцию:	14 янв. 2026 г.
Опубликована online:	3 июн. 2026 г.

≡ Scopus:

2-s2.0-105041499149