On the strongly damped wave equation
From MaRDI portal
Publication:1770253
DOI10.1007/s00220-004-1233-1zbMath1068.35077OpenAlexW2150222152MaRDI QIDQ1770253
Vittorino Pata, Marco Squassina
Publication date: 14 April 2005
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00220-004-1233-1
Attractors (35B41) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Higher-order nonlinear hyperbolic equations (35L75)
Related Items
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation ⋮ Longtime dynamics of the Kirchhoff equations with fractional damping and supercritical nonlinearity ⋮ Uniform random attractors for a non-autonomous stochastic strongly damped wave equation on \(\mathbb{R}^{\mathbb{N}}\) ⋮ Attractors for strongly damped wave equations ⋮ Solving equations through particle dynamics ⋮ Regular attractor of the β-evolution equation with fractional damping on Rn ⋮ Exponential attractors for the strongly damped wave equations with critical exponent ⋮ Longtime behavior of the semilinear wave equation with gentle dissipation ⋮ A Gronwall-type lemma with parameter and its application to Kirchhoff type nonlinear wave equation ⋮ An accelerated exponential time integrator for semi-linear stochastic strongly damped wave equation with additive noise ⋮ Pullback attractors for nonclassical diffusion equations with delays ⋮ Exponential attractors for the strongly damped wave equations ⋮ Well-posed results for nonlocal biparabolic equation with linear and nonlinear source terms ⋮ Recovering the initial distribution for strongly damped wave equation ⋮ Well-posedness and attractors for a super-cubic weakly damped wave equation with \(H^{-1}\) source term ⋮ Global attractors in \(H^1(\mathbb R^N)\) for nonclassical diffusion equations ⋮ Continuity of non-autonomous attractors for hyperbolic perturbation of parabolic equations ⋮ Global strong solution of fourth order nonlinear wave equation ⋮ Global attractor of the quasi-linear wave equation with strong damping ⋮ Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities ⋮ Exponential integrator for stochastic strongly damped wave equation based on the Wong-Zakai approximation ⋮ Optimal temperature distribution for a nonisothermal Cahn-Hilliard system with source term ⋮ Asymptotic behaviour of the wave equation with nonlocal weak damping and anti-damping ⋮ Structure-preserving algorithms with uniform error bound and long-time energy conservation for highly oscillatory Hamiltonian systems ⋮ Existence of exponential attractors for the coupled system of suspension bridge equations ⋮ Global quantitative stability of wave equations with strong and weak dampings ⋮ Time-dependent global attractors for the strongly damped wave equations with lower regular forcing term ⋮ Exponential attractors for the strongly damped wave equation ⋮ Attractors for semilinear damped wave equations with an acoustic boundary condition ⋮ On a Cahn-Hilliard system with source term and thermal memory ⋮ The 3-D nonlinear hyperbolic-parabolic problems: invariant manifolds ⋮ A non-autonomous strongly damped wave equation: existence and continuity of the pullback attractor ⋮ A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation ⋮ Complete regularity and strong attractor for the strongly damped wave equation with critical nonlinearities on \(\mathbb{R}^3\) ⋮ On inverse problems for a strongly damped wave equation on compact manifolds ⋮ Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity ⋮ Strong attractors for the strongly damped wave equations on time-dependent spaces ⋮ Existence of solutions of nonlinear strongly dissipative wave equations with acoustic transmission conditions ⋮ Asymptotic smoothing and global attractors for a class of nonlinear evolution equations ⋮ Unnamed Item ⋮ Regular Global Attractors for Wave Equations with Degenerate Memory ⋮ FEM-IDS for a second order strongly damped wave equation with memory ⋮ Inertial manifolds for weakly and strongly dissipative hyperbolic equations ⋮ Asymptotic behavior for a class of nonclassical parabolic equations ⋮ Strong exponential attractors for weakly damped semilinear wave equations ⋮ Robust exponential attractors for a class of non-autonomous semi-linear second-order evolution equation with memory and critical nonlinearity ⋮ Analysis of finite difference schemes for a fourth-order strongly damped nonlinear wave equations ⋮ Robust exponential attractors for the non-autonomous nonclassical diffusion equation with memory ⋮ Existence of an attractor and determining modes for structurally damped nonlinear wave equations ⋮ Discrete rotating waves in a ring of coupled mechanical oscillators with strong damping ⋮ Global exponential \(\kappa\)-dissipative semigroups and exponential attraction ⋮ Global attractor for a strongly damped wave equation with fully supercritical nonlinearities ⋮ Strongly damped wave equation with exponential nonlinearities ⋮ Global solutions and finite time blow up for damped semilinear wave equations ⋮ Asymptotic periodicity for strongly damped wave equations ⋮ Random attractors for stochastic retarded strongly damped wave equations with additive noise on bounded domains ⋮ Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity ⋮ Remark on global attractor for damped wave equation on \(\mathbb{R}^{3}\) ⋮ Asymptotic behavior of a class of nonlinear evolution equations ⋮ Attractors for the non-autonomous nonclassical diffusion equations with fading memory ⋮ Saddle-node bifurcations on approximate inertial manifolds for a driven wave equation ⋮ The global attractor for the wave equation with nonlocal strong damping ⋮ Dynamics of parabolic problems with memory. Subcritical and critical nonlinearities ⋮ Attractors for the strongly damped wave equation with p‐Laplacian ⋮ Finite-dimensional attractors for the quasi-linear strongly-damped wave equation ⋮ Asymptotic behavior for a semilinear second order evolution equation ⋮ On the well-posedness and blow-up for a semilinear biparabolic equation ⋮ Robust exponential attractors for the strongly damped wave equation with memory. I. ⋮ Robust exponential attractors for the strongly damped wave equation with memory. II. ⋮ Analysis of a quasi-reversibility method for nonlinear parabolic equations with uncertainty data ⋮ Asymptotic regularity for the nonclassical diffusion equation with lower regular forcing term ⋮ Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term ⋮ Well-posedness of semilinear strongly damped wave equations with fractional diffusion operators and \(C^0\) potentials on arbitrary bounded domains ⋮ Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations ⋮ Attractors for the nonclassical diffusion equations with fading memory ⋮ A note on a strongly damped wave equation with fast growing nonlinearities ⋮ Asymptotic regularity for some dissipative equations ⋮ Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations ⋮ On the upper semicontinuity of global attractors for damped wave equations ⋮ On some inverse problem for bi-parabolic equation with observed data in L^{p} spaces ⋮ A note on the global attractor for weakly damped wave equation ⋮ Asymptotic behavior of the wave equation with nonlocal weak damping, anti-damping and critical nonlinearity ⋮ Time-dependent global attractor for the nonclassical diffusion equations
Cites Work
- Infinite-dimensional dynamical systems in mechanics and physics.
- Uniform exponential attractors for a singularly perturbed damped wave equation.
- Asymptotic behavior of a parabolic-hyperbolic system
- Attractors for strongly damped wave equations with critical nonlinearities.
- Limiting behavior of strongly damped nonlinear wave equations
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- A damped hyerbolic equation with critical exponent
- Exponential attractors for a nonlinear reaction-diffusion system in
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item