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On weak stability of shock waves in 2D compressible elastodynamics Научная публикация

Журнал

Journal of Hyperbolic Differential Equations
ISSN: 0219-8916

Вых. Данные

Год: 2022, Том: 19, Номер: 1, Страницы: 157-173 Страниц : 17 DOI: 10.1142/S0219891622500035

Ключевые слова

Compressible elastodynamics; shock waves; weak stability

Авторы

Trakhinin Y. ^1,2

Организации

1	Sobolev Institute of Mathematics, Koptyug av. 4, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Pirogova str. 1, Novosibirsk, 630090, Russian Federation

Информация о финансировании (1)

Российский научный фонд

20-11-20036

By using an equivalent form of the uniform Lopatinski condition for 1-shocks, we prove that the stability condition found by the energy method in [A. Morando, Y. Trakhinin and P. Trebeschi, Structural stability of shock waves in 2D compressible elastodynamics, Math. Ann. 378 (2020) 1471-1504] for the rectilinear shock waves in two-dimensional flows of compressible isentropic inviscid elastic materials is not only sufficient but also necessary for uniform stability (implying structural nonlinear stability of corresponding curved shock waves). The key point of our spectral analysis is a delicate study of the transition between uniform and weak stability. Moreover, we prove that the rectilinear shock waves are never violently unstable, i.e. they are always either uniformly or weakly stable.

Trakhinin Y.
On weak stability of shock waves in 2D compressible elastodynamics
Journal of Hyperbolic Differential Equations. 2022. V.19. N1. P.157-173. DOI: 10.1142/S0219891622500035 WOS Scopus РИНЦ OpenAlex

Web of science:	WOS:000780096100003
Scopus:	2-s2.0-85128730486
РИНЦ:	48432438
OpenAlex:	W3129440864

БД	Цитирований
Scopus	1
Web of science	1
OpenAlex	1
РИНЦ	1