Strong Dissipative Hydrodynamical Systems and the Operator Pencil of S. Krein

Autor:	V. I. Voytitsky
Rok vydání:	2021
Předmět:	Differential equation General Mathematics Operator (physics) Spectral properties Hilbert space Mathematics::Spectral Theory Viscous liquid symbols.namesake symbols Dissipative system Pencil (mathematics) Eigenvalues and eigenvectors Mathematical physics Mathematics
Zdroj:	Lobachevskii Journal of Mathematics. 42:1094-1112
ISSN:	1818-9962 1995-0802
DOI:	10.1134/s1995080221050206
Popis:	This review paper is devoted to the description of the results of N.D. Kopachevsky and S. Krein (form 1964 till nowadays) related to spectral properties of strong dissipative hydrodynamical systems and corresponding operator-differential equations. Such spectral problems usually lead to eigenvalue problem for the so-called operator pencil of S. Krein with some possible modifications. We provide some abstract results for differential equations in Hilbert space, consider a number of problems on normal motions of a heavy viscous liquid under the different additional physical conditions, enumerate properties of the classical pencil of S. Krein and its modifications.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f3bafbcddc12cc94361fbff8e0494321 https://doi.org/10.1134/s1995080221050206 Zobrazit plný text záznamu Full text from SpringerLink