On two hydromechanical problems inspired by works of S. Krein

DOI10.1090/CONM/734/14773zbMath1425.35155OpenAlexW2963375726MaRDI QIDQ5241888

Z. Z. Sitshaeva, Victor Ivanovich Voytitsky, Nikolay Dmitrievich Kopachevsky

Publication date: 4 November 2019

Published in: Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/734/14773

zbMATH Keywords

initial-boundary value problemHilbert spacelinear operatorideal fluidviscous fluidspectral problemstrong solvability

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Incompressible viscous fluids (76D99) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Incompressible inviscid fluids (76B99) Strong solutions to PDEs (35D35) Matrix and operator functional equations (39B42)

Related Items (3)

In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human ⋮ Strong dissipative hydrodynamical systems and the operator pencil of S. Krein ⋮ On small oscillations of three joined pendulums with cavities filled with homogeneous ideal fluids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Small motions and normal oscillations in systems of connected gyrostats
• Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
• Abstract Green formulas for triples of Hilbert spaces and sesquilinear forms
• Spectral problems for second-order strongly elliptic systems in smooth and non-smooth domains
• Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid

This page was built for publication: On two hydromechanical problems inspired by works of S. Krein