The Lyapunov-Movchan method in problems of the stability of flows and deformation processes

DOI10.1016/j.jappmathmech.2015.04.010zbMath1432.74086OpenAlexW2019193969MaRDI QIDQ2011407

K. V. Kvachev, D. V. Georgievskii

Publication date: 7 December 2019

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jappmathmech.2015.04.010

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability of dynamical problems in solid mechanics (74H55) Stability theory for smooth dynamical systems (37C75)

Cites Work

• On the nonlinear stability of the MHD anisotropic Bénard problem
• Asymptotic stability of steady compressible fluids.
• Optimal control of processes with distributed parameters given incomplete information
• High-frequency flutter of a rectangular plate
• Buckling analysis of pre-cracked beam-columns by Lyapunov's second method
• Dynamic stability of functionally graded plate under in-plane compression
• Liapunov functionals application to dynamic stability analysis of continuous systems
• Necessary and sufficient stability conditions via the eigenvalues-eigenvectors method: an application to the magnetic Bénard problem
• Instability of thermally induced vibrations of carbon nanotubes
• On the Lyapunov-Movchan stability of equilibrium of elastic orthotropic plates
• Weighted energy methods in fluid dynamics and elasticity
• Nonlinear stability of the magnetic Bénard problem via a generalized energy method
• Exchange of stabilities, symmetry, and nonlinear stability
• The technical stability of parametrically excitable distributed processes
• Rotational elastic dynamics
• A nonlinear stability analysis of the magnetic Bénard problem through the Lyapunov direct method
• On a Liapunov-like approach to the stability limit of Pflüger's rod
• On the stability of plane parallel convective flow
• The energy method, stability, and nonlinear convection
• Stability properties of regular flows of heat-conducting compressible fluids
• On the nonlinear stability of parallel shear flows
• A theorem on the stability of elastic systems
• On the Liapunov-Movchan and the energy theories of stability
• Stability of elastic structures. Part I by H. H. E. Leipholz; part II by K. Huseyin; part III by M. Zyczkowski
• Unconditional nonlinear exponential stability in the Bénard problem for a mixture: Necessary and sufficient conditions
• On the exponential stability of the rest state of a viscous compressible fluid
• On the nonlinear stability of a fluid layer of a mixture heated and salted from below
• A new formulation of the problem of the flutter of a shallow shell
• Plastic dynamic stability of a column under nonconservative forces
• The rotating Bénard problem: New stability results for any Prandtl and Taylor numbers
• Necessary and sufficient conditions of global nonlinear stability for rotating double-diffusive convection in a porous medium
• Necessary and sufficient conditions for nonlinear stability in the magnetic Bénard problem
• Nonlinear isotropic tensor functions in the theory of constitutive relations.
• Influence of randomly varying damping coefficient on the dynamic stability of continuous systems
• On the nonlinear stability of the rotating Bénard problem via the Lyapunov direct method
• On a generalization of the lower bound theorem for elastic rods and plates subjected to compressive follower forces
• Lyapunov stability of continuous elastic systems and its topological foundations
• Isotropic nonlinear tensor functions in the theory of constitutive relations.
• Nonlinear stability analysis of convection for fluids with exponentially temperature-dependent viscosity
• On the Lyapunov's stability of a clamped orthotropic round plate under radial axisymmetrical impact load
• Dynamic stability of the viscoelastic rotating shaft subjected to random excitation
• Nonlinear stability for a thermofluid in a vertical porous slab
• Stability of dynamical systems. Continuous, discontinuous, and discrete systems
• Parabolic differential equations and Lyapunov like functions
• The Lyapunov-Movchan method in the vibration stability problem for a plate
• Nonlinear stability of the Boussines q equations by the method of energy
• Stability analysis of elastic and aeroelastic systems via Lyapunov's direct method
• On Movchan's theorems for stability of continuous systems
• Sulla stabilita asintotica in media in magnetoidrodinamica
• Stability of general systems
• Convective instability in a temperature and concentration field
• Sulla stabilita magnetoidrodinamica in media con vari tipi di condizioni al contorno
• A stability theory for nonlinear mixed initial boundary value problems
• Metodi variazionali per la stabilita in media in magnetoidrodinamica
• On the stability of one-dimensional continuous systems with polygenic forces
• A study of thermodynamic stability of deformation in visco-elastic fluids by Lyapunov function analysis
• A new approach to energy theory in the stability of fluid motion
• Non-linear stability in the Bénard problem for a double-diffusive mixture in a porous medium
• Introduction to Hydrodynamic Stability
• Technical stability of parametrically excited panels in a gas glow
• The direct method of Liapunov in stability problems of elastic systems
• Stability of processes with respect to two metrics
• On the stability of the equilibrium of conservative systems with an infinite number of degrees of freedom
• Almost asymptotic stability of system of processes
• STABILITY IN THE BÉNARD PROBLEMS WITH COMPETING EFFECTS VIA THE REDUCTION METHOD
• On the Stability of a Mixture in a Rotating Layer via the Lyapunov Second Method
• Dynamic Stability of Nonlinear Antisymmetrically-Laminated Cross-Ply Rectangular Plates
• Viscous symmetric stability of circular flows
• A nonlinear analysis of the stabilizing effect of rotation in the Bénard problem
• Convection in thawing subsea permafrost
• Three-dimensional knot convection in a layer heated from below
• Stability of elastic, cylindrical shells via Liapunov's second method
• Dynamic stability of rotating shafts
• Stability and instability of systems of processes with respect to two multivalent measures
• On the use of the Hamiltonian for an evaluation of the stability of elastic systems subjected to follower forces
• Nonlinear tensor functions of several tensor arguments
• Stability of elastic rods via Liapunov's second method
• On conservative elastic systems of the first and second kind
• Energy-like Liapunov functionals for linear elastic systems on a Hilbert space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the mean square stability of a class of nonstationary coupled partial differential equations
• Lyapunov stability of columns, pipes and rotating shafts under time-dependent excitation
• Nonlinear stability problem of a rotating porous layer
• Conditions for stability of rotating elastic rods
• [https://portal.mardi4nfdi.de/wiki/Publication:4743845 On a liapunov-like approach to the stability of Pfl�ger-like plates]
• The Benard problem for nonlinear heat conduction: unconditional stability
• Stability of a Pin-Ended Bar in Torsion and Compression
• Generalized energetics for inertially stable parallel shear flows
• On the stability conditions of equilibrium magnetohydrodynamic configurations
• On the stability of equilibrium of continuous systems
• [https://portal.mardi4nfdi.de/wiki/Publication:5522833 �ber die Anwendung der Methoden von Ljapunow auf Stabilit�tsprobleme der Elastostatik]
• On one problem of stability of a pipe with a fluid flowing through it
• A Study of Two of the Classical Problems of Hydrodynamic Stability by the Liapunov Method
• Stability of Cylindrical Shells Under Moving Loads by the Direct Method of Liapunov
• On nonlinear stability theory
• On the Stability of Some Continuous Systems Subjected to Random Excitation
• [https://portal.mardi4nfdi.de/wiki/Publication:5607784 �ber die Anwendung von Liapunovs direkter Methode auf Stabilit�tsprobleme kontinuierlicher, nichtkonservativer Systeme]
• Liapunov Stability Criteria for Continuous Systems Under Parametric Excitation
• Asymptotic stability and instability criteria for some elastic systems by Liapunov’s direct method
• Stability analysis in structural dynamics using Liapunov functionals
• Liapunov Analysis of the Generalized Pfluger Problem
• Stability of the General Plane Membrane Adjacent to a Supersonic Airstream
• Stability and decay to zero of the \(L^2\)-norms of perturbations to a viscous compressible heat-conductive fluid motion exterior to a ball