Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.
From MaRDI portal
Publication:1412077
zbMath1048.76001MaRDI QIDQ1412077
Selim G. Krein, Nikolay Dmitrievich Kopachevsky
Publication date: 5 November 2003
Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Applications of operator theory in chemistry and life sciences (47N60) Research exposition (monographs, survey articles) pertaining to fluid mechanics (76-02)
Related Items (71)
The problem of normal oscillations of a viscous stratified fluid with an elastic membrane ⋮ Inertial motions of a rigid body with a cavity filled with a viscous liquid ⋮ Investigation of operator models arising in viscoelasticity theory ⋮ Inversion of the Lagrange Theorem in the Problem of Stability of Rotating Viscous Incompressible Liquid ⋮ Spectral analysis of linear models of viscoelasticity ⋮ On stabilization of solutions to incomplete second-order integrodifferential equations ⋮ Representation of solutions of a certain integro-differential equation and applications ⋮ Operator approach to the problem on small motions of an ideal relaxing fluid ⋮ Problems on small motions of systems of two viscoelastic fluids in fixed vessels ⋮ Exponential stability of semigroups generated by Volterra integro-differential equations ⋮ Exponential stability of a certain semigroup and applications ⋮ On the asymptotic behavior of solutions of integro-differential equations in a Hilbert space ⋮ Small motions and eigenoscillations of a ``fluid-barotropic gas hydrosystem ⋮ Spectral analysis and correct solvability of abstract integrodifferential equations arising in thermophysics and acoustics ⋮ On the properties of the generators of semigroups associated with Volterra integro-differential equations ⋮ Studying Volterra integro-differential equations by methods of the theory of operator semigroups ⋮ A symmetric model of ideal rotating relaxing fluid ⋮ On oscillations of connected pendulums with cavities filled by homogeneous fluids ⋮ Introduction ⋮ Introduction ⋮ Well-Posedness and Spectral Analysis of Hyperbolic Volterra Equations of Convolution Type ⋮ Mathematical study of the small oscillations of two nonmixing fluids, the lower inviscid, the upper viscoelastic, in an open container ⋮ On the motion of a liquid-filled heavy body around a fixed point ⋮ Spectral analysis of the generators for semigroups associated with Volterra integro-differential equations ⋮ Study of Volterra integro-differential equations by methods of semigroup theory ⋮ Oscillations of a system of rigid bodies partially filled with viscous fluids under the action of an elastic damping device ⋮ Analysis of the small oscillations of a system viscous liquid-barotropic gas in a container ⋮ In memory of Nikolay Dmitrievich Kopachevsky, a mathematician and a human ⋮ Investigation of integro-differential equations by methods of spectral theory ⋮ Asymptotics of the spectrum of variational problems arising in the theory of fluid oscillations ⋮ Analysis of the small oscillations of two nonmixing fluids, the upper inviscid, the lower viscoelastic, in a fixed open container ⋮ Semigroups of operators generated by integro-differential equations with kernels representable by Stieltjes integrals ⋮ Spectral analysis of hyperbolic Volterra integro-differential equations ⋮ Small motions and normal oscillations in systems of connected gyrostats ⋮ Spectral and initial-boundary conjugation problems ⋮ Well-posedness and spectral analysis of integrodifferential equations of hereditary mechanics ⋮ Stability of Permanent Rotations and Long-Time Behavior of Inertial Motions of a Rigid Body with an Interior Liquid-Filled Cavity ⋮ Well-defined solvability and spectral properties of abstract hyperbolic equations with aftereffect ⋮ Problem on small motions of ideal rotating relaxing fluid ⋮ Problem on small motions and normal oscillations of capillary viscous liquids in rotating vessels ⋮ Multicomponent conjugation problems and auxiliary abstract boundary-value problems ⋮ Mathematical study of the small oscillations of a floating body in a bounded tank containing an incompressible viscous liquid ⋮ A problem of normal oscillations of a system of bodies partially filled with ideal fluids under the action of an elastic damping device ⋮ Mathematical Study of the Small Oscillations of a Pendulum Completely Filled with a Viscoelastic Fluid ⋮ On the properties of semigroups generated by Volterra integro-differential equations with kernels representable by Stieltjes integrals ⋮ Well-posedness and spectral analysis of integrodifferential equations arising in viscoelasticity theory ⋮ Study of Volterra integro-differential equations arising in viscoelasticity theory ⋮ Semigroups generated by Volterra integro-differential equations ⋮ Mathematical study of the small oscillations of a spherical layer of viscous fluid about a rigid spherical core in the gravitational field ⋮ Mathematical study of the small oscillations of a spherical layer of viscoelastic fluid about a rigid spherical core in the gravitational field ⋮ On Volterra integro-differential equations with kernels representable by Stieltjes integrals ⋮ On small motions of hydrodynamic systems containing a viscoelastic fluid ⋮ Strong dissipative hydrodynamical systems and the operator pencil of S. Krein ⋮ On the equilibrium and stability of a capillary liquid with disconnected free surface in an open vessel ⋮ On the spectral criterion of stability in the problem of small motions of an ideal capillary fluid with disconnected free surface ⋮ On the Motion of a Liquid-Filled Rigid Body Subject to a Time-Periodic Torque ⋮ Analytic functional calculus for two operators ⋮ On small oscillations of three joined pendulums with cavities filled with homogeneous ideal fluids ⋮ Small motions of an ideal stratified fluid partially covered with elastic ice ⋮ On oscillations of two connected pendulums containing cavities partially filled by incompressible fluids ⋮ Spectral analysis of integrodifferential equations in Hilbert spaces ⋮ Oldroyd model for compressible fluids ⋮ Abstract mixed boundary-value and spectral conjugation problems and their applications ⋮ On the stability of an equilibrium and the small motions of a rigid body containing a liquid, suspended in a uniform flow ⋮ On two hydromechanical problems inspired by works of S. Krein ⋮ To the problem of small oscillations of a system of two viscoelastic fluids filling immovable vessel: model problem ⋮ Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity ⋮ A maximal regularity approach to the study of motion of a rigid body with a fluid-filled cavity ⋮ On small motions of hydraulic systems containing viscoelastic fluid ⋮ Spectral Analysis and Representations of Solutions of Abstract Integro-differential Equations in Hilbert Space ⋮ Correct solvability and exponential stability for solutions of Volterra integro-differential equations
This page was built for publication: Operator approach to linear problems of hydrodynamics. Vol. 2: Nonself-adjoint problems for viscous fluids.