DOI10.1007/978-0-387-87712-9zbMath1298.35001OpenAlexW2502169019WikidataQ59757569 ScholiaQ59757569MaRDI QIDQ3557994
Igor D. Chueshov, Irena Lasiecka
Publication date: 29 April 2010
Published in: Springer Monographs in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-0-387-87712-9
Smooth dynamics of a Timoshenko system with hybrid dissipation ⋮
Long-time dynamics of ternary mixtures with localized dissipation ⋮
Attractors for a plate equation with nonlocal nonlinearities ⋮
Asymptotically autonomous dynamics for fractional subcritical nonclassical diffusion equations driven by nonlinear colored noise ⋮
Numerical solution to the linearized model of a clamped-free plate using nonconforming finite elements ⋮
Justification and solvability of dynamical contact problems for generalized Marguerre–von Kármán shallow shells ⋮
Global attractors for a partially damped Timoshenko–Ehrenfest system without the hypothesis of equal wave speeds ⋮
Well-posedness and dynamical properties for extensible beams with nonlocal frictional damping and polynomial nonlinearity ⋮
Dynamics of a critical semilinear Lamé system with memory ⋮
Exponential attractor for Kirchhoff model with time delay and thermal effect ⋮
Observability and attractors of nonlinear von Kármán beams ⋮
Singular limits of binary mixtures in solids theory ⋮
Quasi-stability and smooth global attractors for a elasticity-viscoporosity system with nonlinear damping and source of critical exponents ⋮
Dynamics of a class of extensible beams with degenerate and non-degenerate nonlocal damping ⋮
Longtime dynamics of a semilinear Lamé system ⋮
Long time behavior of semilinear wave equation with localized interior damping term under acoustic boundary condition ⋮
Existence and robustness results of attractors for partially-damped piezoelectric beams ⋮
Asymptotic limits and attractors for a laminated beam model ⋮
Pullback dynamics for a class of non-autonomous Lamé thermoelastic system ⋮
Global attractors for porous elastic system with memory and nonlinear frictional damping ⋮
On the bifurcation of solutions to Marguerre-von Kármán equations ⋮
Fractal dimension of global attractors for a Kirchhoff wave equation with a strong damping and a memory term ⋮
On the Interaction Problem between a Compressible Viscous Fluid and a Nonlinear Thermoelastic Plate ⋮
Blow‐up for a Von Karman equation with nonlinear dissipation, logarithmic source, and acoustic boundary conditions ⋮
Dynamics of a thermoelastic Balakrishnan-Taylor beam model with fractional operators ⋮
Quasi-stability and upper semicontinuity for coupled wave equations with fractional damping ⋮
Dynamics of suspension bridge equation with delay ⋮
Dynamics of nonlinear Reissner–Mindlin–Timoshenko plate systems ⋮
Elastic stabilization of an intrinsically unstable hyperbolic flow–structure interaction on the 3D half-space ⋮
Limiting dynamics in one-dimensional porous-elasticity ⋮
Von Karman thermoelastic plates: existence and nonexistence of global solutions ⋮
Global attractors for porous-elasticity system from second spectrum viewpoint ⋮
Upper semicontinuity of pullback attractors for nonlinear full von Kármán beam ⋮
Asymptotically Autonomous Robustness in Probability of Random Attractors for Stochastic Navier-Stokes Equations on Unbounded Poincaré Domains ⋮
Upper semicontinuity of the global attractor for Bresse system with second sound ⋮
Long‐time dynamics of the 2D nonisothermal hyperbolic Cahn–Hilliard equations ⋮
Stability and dynamics for Lamé system with degenerate memory and time-varying delay ⋮
Well‐posedness and dynamics for the von Karman equation with memory and nonlinear time‐varying delay ⋮
Dynamics for a class of energy beam models with non-constant material density ⋮
Stability of strong attractors for the extensible beam equation with gentle dissipation ⋮
Singular limits and dynamics for the abstract Timoshenko system ⋮
Analyticity and stability results for a plate‐membrane type transmission problem ⋮
Dynamics of a coupled nonlinear wave equations with fractional Laplacian damping and Fourier's law ⋮
Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping and distributed delay ⋮
Unnamed Item ⋮
GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR STRONGLY DAMPED WAVE EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS AND BALANCED POTENTIALS ⋮
Global smooth attractors for dynamics of thermal shallow shells without vertical dissipation ⋮
Unnamed Item ⋮
Long-time dynamics for a class of Kirchhoff models with memory ⋮
A modified filter SQP method as a tool for optimal control of nonlinear systems with spatio-temporal dynamics ⋮
Von Kármán equations inLpspaces ⋮
Exponential decay of solutions for the plate equation with localized damping ⋮
Asymptotic behavior for the singularly perturbed damped Boussinesq equation ⋮
Structural acoustic problem and dynamic nonlinear plate equations ⋮
Attractors and their properties for a class of Kirchhoff models with integro-differential damping ⋮
Long-time dynamics of a class of nonlocal extensible beams with time delay ⋮
On global attractors for a nonlinear porous elastic system with fractional damping and memory term ⋮
A diameter bound for compact surfaces and the Plateau-Douglas problem ⋮
Singular Limit and Long-Time Dynamics of Bresse Systems ⋮
Dynamics of piezoelectric beams with magnetic effects and delay term ⋮
Dynamics of laminated Timoshenko beams ⋮
Global attractors for a third order in time nonlinear dynamics ⋮
Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms ⋮
Qualitative results on the dynamics of a Berger plate with nonlinear boundary damping ⋮
Global existence and long-time behavior of the initial-boundary value problem for the dissipative Boussinesq equation ⋮
Coiflets solutions for Föppl-von Kármán equations governing large deflection of a thin flat plate by a novel wavelet-homotopy approach ⋮
Attractors for a quasilinear viscoelastic equation with nonlinear damping and memory ⋮
Theory of solutions for an inextensible cantilever ⋮
Stabilization of a suspension bridge with locally distributed damping ⋮
Nonlinear elastic plate in a flow of gas: recent results and conjectures ⋮
Long-time behavior for suspension bridge equations with time delay ⋮
Asymptotic behavior of non-autonomous Lamé systems with subcritical and critical mixed nonlinearities ⋮
Quasi-stability property and attractors for a semilinear Timoshenko system ⋮
Longtime behavior of the semilinear wave equation with gentle dissipation ⋮
Global attractors for a novel nonlinear piezoelectric beam model with dynamic electromagnetic effects and viscoelastic memory ⋮
General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities ⋮
Weak solution to the incompressible viscous fluid and a thermoelastic plate interaction problem in 3D ⋮
Finite dimensional smooth attractor for the Berger plate with dissipation acting on a portion of the boundary ⋮
Long-time behavior for a thermoelastic microbeam problem with time delay and the Coleman-Gurtin thermal law ⋮
Quasi-stability and attractor for a laminated-Coleman-Gurtin beam without structural damping ⋮
Asymptotic behavior of the thermoelastic suspension bridge equation with linear memory ⋮
Long-time dynamics of von Karmán semi-flows with nonlinear boundary/interior damping ⋮
Remark on an elastic plate interacting with a gas in a semi-infinite tube: periodic solutions ⋮
Quasi-stability and exponential attractors for a non-gradient system -- applications to piston-theoretic plates with internal damping ⋮
On interaction of circular cylindrical shells with a Poiseuille type flow ⋮
On long time behavior of Moore-Gibson-Thompson equation with molecular relaxation ⋮
Long-time behavior of a suspension bridge equations with past history ⋮
Long-time dynamics of a plate equation with memory and time delay ⋮
In memoriam Igor D. Chueshov September 23, 1951 -- April 23, 2016 ⋮
Long term dynamics of second order-in-time stochastic evolution equations with state-dependent delay ⋮
Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions ⋮
Long time behaviour of strong solutions to interactive fluid-plate system without rotational inertia ⋮
Semigroup well-posedness of a linearized, compressible fluid with an elastic boundary ⋮
On the interaction of an elastic wall with a Poiseuille-type flow ⋮
Long-time dynamics of a von Karman equation with time delay ⋮
Bifurcation of equilibrium forms of an elastic rod on a two-parameter Winkler foundation ⋮
Attractors for wave equations with degenerate memory ⋮
Porous elastic system with nonlinear damping and sources terms ⋮
Long-time dynamics of an extensible plate equation with thermal memory ⋮
Stability of exponential attractors for a family of semilinear wave equations with gentle dissipation ⋮
Existence of the global attractor for the plate equation with nonlocal nonlinearity in \(\mathbb{R}^{n}\) ⋮
Exponential stability and global attractors for a thermoelastic Bresse system ⋮
Solvability and stability of von Karman model without rotational inertia with nonlinear forces ⋮
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping ⋮
Global attractors for von Karman evolutions with a nonlinear boundary dissipation. ⋮
Global nonexistence of solutions for von Karman equations with variable exponents ⋮
Existence and sharp decay rate estimates for a von Karman system with long memory ⋮
Attractors and their properties for a class of nonlocal extensible beams ⋮
Flow-plate interactions: well-posedness and long-time behavior ⋮
Interaction of an elastic plate with a linearized inviscid incompressible fluid ⋮
Eliminating flutter for clamped von Karman plates immersed in subsonic flows ⋮
Dynamics of second order in time evolution equations with state-dependent delay ⋮
An Euler-Bernoulli beam with nonlinear damping and a nonlinear spring at the tip ⋮
Stabilization of a nonlinear flow-plate interaction via component-wise decomposition ⋮
Well-posedness and attractor on the 2D Kirchhoff-Boussinesq models ⋮
Exponential decay of a thermoelastic system for a thin plate under periodic sunlight ⋮
An evolution von Kármán equation modeling suspension bridges ⋮
A \(C^0\) interior penalty method for a von Kármán plate ⋮
Longtime behavior for an extensible beam equation with rotational inertia and structural nonlinear damping ⋮
Dynamical canonical systems and their explicit solutions ⋮
Attractors for non-dissipative irrotational von Karman plates with boundary damping ⋮
Weak and strong solutions of a nonlinear subsonic flow-structure interaction: semigroup approach ⋮
Strong stability and uniform decay of solutions to a wave equation with semilinear porous acoustic boundary conditions ⋮
Arbitrary decay rates of energy for a von Karman equation of memory type ⋮
Global existence and stability for semilinear wave equations damped by time-dependent boundary frictions ⋮
Dynamics of the nonlinear Timoshenko system with variable delay ⋮
Plate models with state-dependent damping coefficient and their quasi-static limits ⋮
Well-posedness and stability result of the nonlinear thermodiffusion full von Kármán beam with thermal effect and time-varying delay ⋮
Hessian discretisation method for fourth-order semi-linear elliptic equations: applications to the von Kármán and Navier-Stokes models ⋮
Well-posedness and attractor for a strongly damped wave equation with supercritical nonlinearity on \(\mathbb{R}^N\) ⋮
Synchronization in coupled stochastic sine-Gordon wave model ⋮
Global and exponential attractors for a nonlinear porous elastic system with delay term ⋮
Stability for extensible beams with a single degenerate nonlocal damping of Balakrishnan-Taylor type ⋮
Stability of attractors for the Kirchhoff wave equation with strong damping and critical nonlinearities ⋮
Existence and upper-semicontinuity of global attractors for binary mixtures solids with fractional damping ⋮
Quasi-stability and attractors for a nonlinear coupled wave system with memory ⋮
Quasi-stability and continuity of attractors for nonlinear system of wave equations ⋮
Asymptotic behavior of the solutions of the generalized globally modified Navier-Stokes equations ⋮
Micro-inertia effects on existence of attractors for form II Mindlin's strain gradient viscoelastic plate ⋮
Existence of smooth global attractors for nonlinear viscoelastic equations with memory ⋮
Long-time dynamics of the Cahn-Hilliard equation with kinetic rate dependent dynamic boundary conditions ⋮
Attractors and long-time behavior of von Kármán thermoelastic plates ⋮
Global and exponential attractors for mixtures of solids with Fourier's law ⋮
Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids ⋮
Uniform stabilization for the coupled semi-linear wave and beam equations with distributed nonlinear feedback ⋮
Continuity of global attractors for a suspension bridge equation ⋮
Uniform stability in a vectorial full von Kármán thermoelastic system with solenoidal dissipation and free boundary conditions ⋮
Bilinear minimax optimal control problems for a von Kárman system with long memory ⋮
On the analyticity of the MGT-viscoelastic plate with heat conduction ⋮
Long-time dynamics of Balakrishnan-Taylor extensible beams ⋮
Attractors for a class of extensible beams with strong nonlinear damping ⋮
Existence and continuity of global attractors for ternary mixtures of solids ⋮
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity ⋮
Blow-up results for a quasilinear von Karman equation of memory type ⋮
Singular limit dynamics and attractors for wave equations connected in parallel ⋮
Variational analysis of semilinear plate equation with free boundary conditions ⋮
Stochastic dynamics in a fluid-plate interaction model with the only longitudinal deformations of the plate ⋮
Hyperbolic equations of Von Karman type ⋮
Quasi-stability and global attractor in nonlinear thermoelastic diffusion plate with memory ⋮
On a semilinear Timoshenko-Coleman-Gurtin system: quasi-stability and attractors ⋮
A nonlinear transmission problem for a compound plate with thermoelastic part ⋮
Long-time dynamics for a class of extensible beams with nonlocal nonlinear damping ⋮
Quasi-stability and attractors for a porous-elastic system with history memory ⋮
Convergence of solutions of von Karman evolution equations to equilibria ⋮
Asymptotic analysis and upper semicontinuity with respect to delay term of attractors to binary mixtures of solids ⋮
Attractors for a von Karman equation with memory ⋮
On the solutions of a dynamic contact problem for a thermoelastic von Kármán plate ⋮
A global attractor for a fluid-plate interaction model accounting only for longitudinal deformations of the plate ⋮
Regularity and asymptotic behavior for a damped plate-membrane transmission problem ⋮
Energy decay for a von Karman equation with time-varying delay ⋮
Dynamics of a nonlinear elastic plate interacting with a linearized compressible viscous fluid ⋮
Long-time dynamics for nonlinear porous thermoelasticity with second sound and delay ⋮
Asymptotic analysis and upper semicontinuity to a system of coupled nonlinear wave equations ⋮
Weak solutions for a poro-elastic plate system ⋮
Quantum Zakharov model in a bounded domain ⋮
Energy decay rate for a nonlinear von Kármán equation with memory ⋮
Global attractors of the extensible plate equations with nonlinear damping and memory ⋮
Maximal regularity for the thermoelastic plate equations with free boundary conditions ⋮
Longtime dynamics of Boussinesq type equations with fractional damping ⋮
Long-time dynamics for a fractional piezoelectric system with magnetic effects and Fourier's law ⋮
Attractors for Delayed, Nonrotational von Karman Plates with Applications to Flow-Structure Interactions Without any Damping ⋮
Longtime dynamics for a type of suspension bridge equation with past history and time delay ⋮
Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects ⋮
Well-posedness and attractors for a memory-type thermoelastic Timoshenko beam acting on shear force ⋮
Attractors for semilinear wave equations with localized damping and external forces ⋮
Regular solutions and strong attractors for the Kirchhoff wave model with structural nonlinear damping ⋮
Bifurcation of equilibrium forms of a gas column rotating with constant speed around its axis of symmetry ⋮
SemiGlobal Exact Controllability of Nonlinear Plates ⋮
Global existence and exponential stability for a nonlinear thermoelastic Kirchhoff-Love plate ⋮
Long time dynamics and upper semi-continuity of attractors for piezoelectric beams with nonlinear boundary feedback ⋮
Global and exponential attractors for extensible thermoelastic plate with time-varying delay ⋮
Global attractors for a mixture problem in one dimensional solids with nonlinear damping and sources terms ⋮
Existence of global attractors for a semilinear wave equation with nonlinear boundary dissipation and nonlinear interior and boundary sources with critical exponents ⋮
Compressible fluids interacting with plates: regularity and weak-strong uniqueness ⋮
Long-time behavior of a nonlinearly-damped three-layer Rao-Nakra sandwich beam ⋮
Long-time dynamics for a nonlinear viscoelastic Kirchhoff plate equation ⋮
A space-time adaptive discontinuous Galerkin method for the numerical solution of the dynamic quasi-static von Kármán equations ⋮
Long-time dynamics for a Cahn-Hilliard tumor growth model with chemotaxis ⋮
Long-time dynamics of Kirchhoff equations with exponential nonlinearities ⋮
Blow-up of solutions to von Karman equations with arbitrary initial energy ⋮
Long-time behavior for a class of semi-linear Viscoelastic Kirchhoff beams/plates ⋮
Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\) ⋮
Asymptotic analysis and upper semicontinuity with respect to rotational inertia of attractors to von Karman plates with geometrically localized dissipation and critical nonlinearity ⋮
Exponential Decay Properties of a Mathematical Model for a Certain Fluid-Structure Interaction ⋮
The well-posedness and attractor on an extensible beam equation with nonlocal weak damping ⋮
Existence and continuity of attractors for a nonlinear piezoelectric beam with Colemam-Gurtin thermal law ⋮
Asymptotic stability for 3D Brinkman-Forchheimer equation with delay on some unbounded domains ⋮
Global attractors and synchronization of coupled critical Lamé systems with nonlinear damping ⋮
Long-time dynamical behavior for a piezoelectric system with magnetic effect and nonlinear dampings ⋮
Asymptotic dynamics for fractionally damped swelling porous elastic soils with memory ⋮
Regular Global Attractors for Wave Equations with Degenerate Memory ⋮
Existence of attractors for a nonlinear Timoshenko system with delay ⋮
Decay rates to equilibrium for nonlinear plate equations with degenerate, geometrically-constrained damping ⋮
Long-time dynamics of a nonlinear Timoshenko beam with discrete delay term and nonlinear damping ⋮
Long time dynamics for a damped Benjamin-Bona-Mahony equation in low regularity spaces ⋮
Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects ⋮
Unnamed Item ⋮
A Cantilevered Extensible Beam in Axial Flow: Semigroup Well-posedness and Postflutter Regimes ⋮
Robustness of global attractors for extensible coupled suspension bridge equations with fractional damping ⋮
On the control ofn-dimensional thermoelastic system ⋮
Long-time behavior of solutions to von Karman equations with variable sources ⋮
Long-time behavior of partially damped systems modeling degenerate plates with piers ⋮
Global attractor for the generalized double dispersion equation ⋮
Existence of a weak solution to the fluid-structure interaction problem in 3D ⋮
Inertial manifolds for the 3D modified-Leray-\( \alpha\) model ⋮
Random Attractors for Von Karman Plates Subjected to Multiplicative White Noise Loadings ⋮
Long time behavior of a damped generalized BBM equation in low regularity spaces ⋮
Nonlinear plates interacting with a subsonic, inviscid flow via Kutta-Joukowski interface conditions ⋮
Pullback dynamics of a non-autonomous mixture problem in one dimensional solids with nonlinear damping ⋮
Long-time dynamics of the Swift-Hohenberg equations ⋮
Existence and blow-up of solutions for von Karman equations with time delay and variable exponents ⋮
A unique continuation result for the plate equation and an application ⋮
Global attractor for suspension bridge equations with memory ⋮
Long-time behavior of a class of thermoelastic plates with nonlinear strain ⋮
Global well-posedness and attractors for the hyperbolic Cahn–Hilliard–Oono equation in the whole space ⋮
Feedback Stabilization of a Fluttering Panel in an Inviscid Subsonic Potential Flow ⋮
GLOBAL ATTRACTORS AND REGULARITY FOR THE EXTENSIBLE SUSPENSION BRIDGE EQUATIONS WITH PAST HISTORY ⋮
Stability and dynamics of a weak viscoelastic system with memory and nonlinear time-varying delay ⋮
New general decay results for a von Karman plate equation with memory-type boundary conditions ⋮
Uniform attractors for non-autonomous plate equations with \(p\)-Laplacian perturbation and critical nonlinearities ⋮
A thorough look at the (in)stability of piston-theoretic beams ⋮
Uniform attractors for a nonautonomous extensible plate equation with a strong damping ⋮
Attractors for the strongly damped wave equation with p‐Laplacian ⋮
Stochastic Euler-Bernoulli beam driven by additive white noise: global random attractors and global dynamics ⋮
Long-time dynamics of the strongly damped semilinear plate equation in \(\mathbb{R}^N\) ⋮
Exponential attractor for the Boussinesq equation with strong damping and clamped boundary condition ⋮
A linearized viscous, compressible flow-plate interaction with non-dissipative coupling ⋮
Attractors for a class of Kirchhoff models with \(p\)-Laplacian and time delay ⋮
Variational study of bifurcations in von Kármán equations ⋮
Properties of global and exponential attractors for nonlinear thermo-diffusion Timoshenko system ⋮
Generation of semigroups for the thermoelastic plate equation with free boundary conditions ⋮
Large deflections of inextensible cantilevers: modeling, theory, and simulation ⋮
Smooth Dynamics of Weakly Damped Lamé Systems with Delay ⋮
Long time behavior and global dynamics of simplified Von Karman plate without rotational inertia driven by white noise ⋮
Generation of bounded semigroups in nonlinear subsonic flow-structure interactions with boundary dissipation ⋮
Finite dimensional attractors for binary mixtures of viscoelastic bodies ⋮
Rational rates of uniform decay for strong solutions to a fluid-structure PDE system ⋮
Asymptotic behavior for the damped Boussinesq equation with critical nonlinearity ⋮
Finite-dimensional global attractors for parabolic nonlinear equations with state-dependent delay