Strong dissipative hydrodynamical systems and the operator pencil of S. Krein

DOI10.1134/S1995080221050206zbMath1487.47026OpenAlexW3166630900MaRDI QIDQ2032393

Victor Ivanovich Voytitsky

Publication date: 11 June 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221050206

zbMATH Keywords

self-adjoint operatorbasis propertyoperator-differential equationoperator pencilbranch of eigenvaluesstrong dissipative systems

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) General theory of rotating fluids (76U05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Capillarity (surface tension) for incompressible viscous fluids (76D45) Linear differential equations in abstract spaces (34G10)

Cites Work

• Multicomponent conjugation problems and auxiliary abstract boundary-value problems
• Self\(adjoint\) quadratic operator pencils and elliptic problems
• Small motions and normal oscillations in systems of connected gyrostats
• Compact perturbations of strongly damped operator pencils
• Basis property of a part of the system of eigenvectors of a holomorphic operator-function
• The spectral properties of a certain class of self-adjoint operator functions
• Valeurs propres d'opérateurs définis par la restriction de systèmes variationnels à des sous-espaces
• Spectral theory of holomorphic operator-functions in Hilbert space
• On some mathematical principles in the linear theory of damped oscillations of continua II
• The sufficient condition for instability of the convective motion of a liquid in an open vessel
• Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
• Operator models in elasticity theory and hydromechanics and the associated analytic semigroups.
• Abstract Green formulas for triples of Hilbert spaces and sesquilinear forms
• Geometry of bifurcation diagrams of simple projections onto the line
• Double unconditional bases associated with a quadratic characteristic parameter problem
• On some problems generated by a sesquilinear form
• Abstract mixed boundary-value and spectral conjugation problems and their applications
• On Some Class of Self-adjoint Boundary Value Problems with the Spectral Parameter in the Equations and the Boundary Conditions
• STRONGLY DAMPED PENCILS OF OPERATORS AND SOLVABILITY OF THE CORRESPONDING OPERATOR-DIFFERENTIAL EQUATIONS
• ON THE BASIS PROPERTY FOR A CERTAIN PART OF THE EIGENVECTORS AND ASSOCIATED VECTORS OF A SELFADJOINT OPERATOR PENCIL
• On some unsolved problems of zero-gravity hydromechanics
• On the problem of small motions and normal oscillations of a viscous fluid in a partially filled container
• On two hydromechanical problems inspired by works of S. Krein
• The cauchy problem for small oscillations of a viscous liquid in a weak field of mass forces
• Free vibrations of a self-gravitating liquid sphere with viscous and capillary forces
• Operator approach to linear problems of hydrodynamics. Vol. 1: Self-adjoint problems for an ideal fluid
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