Dynamics of the non-autonomous wave equations with nonlocal weak damping and critical nonlinearity

Asymptotic behavior of solutions to PDEs (35B40) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Second-order nonlinear hyperbolic equations (35L70)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Attractors for damped quintic wave equations in bounded domains
Attractors for infinite-dimensional non-autonomous dynamical systems
Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise
Uniform exponential attractors for first order non-autonomous lattice dynamical systems
Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
Uniform exponential attractors for non-autonomous KGS and Zakharov lattice systems with quasiperiodic external forces
Global attractors for wave equations with nonlinear interior damping and critical exponents
Exponential decay of the viscoelastic Euler-Bernoulli equation with a nonlocal dissipation in general domains.
Attractors for certain nonlinear problems of mathematical physics
Global attractors for semilinear damped wave equations with supercritical exponent
Infinite-dimensional dynamical systems in mechanics and physics.
Global attractors for damped semilinear wave equations.
Uniform exponential attractors for a singularly perturbed damped wave equation.
Exponential attractors for nonautonomous first-order evolution equations
Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models
Dynamics for the damped wave equations on time-dependent domains
Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
Attractors for second-order evolution equations with a nonlinear damping
On finite fractal dimension of the global attractor for the wave equation with nonlinear damping
Attractors of non-autonomous dynamical systems and their dimension
Exponential attractors of reaction-diffusion systems in an unbounded domain
Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
Rates of decay of a nonlocal beam equation
Trajectory statistical solutions and Liouville type theorem for nonlinear wave equations with polynomial growth
Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity
Exponential stability for the wave equation with degenerate nonlocal weak damping
Asymptotic stability for nonlinear damped Kirchhoff systems involving the fractional \(p\)-Laplacian operator
Pullback exponential attractors for evolution processes in Banach spaces: properties and applications
Pullback attractors for asymptotically compact non-autonomous dynamical systems
Global attractors for the wave equation with nonlinear damping
Asymptotic behavior for a semilinear second order evolution equation
Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
Long-time behavior of second order evolution equations with nonlinear damping
Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system
Uniform Attractors for Nonautonomous Wave Equations with Nonlinear Damping