Well-posedness of solutions for a class of quasilinear wave equations with structural damping or strong damping
DOI10.1016/j.chaos.2022.112553OpenAlexW4293213183MaRDI QIDQ2111282
Publication date: 13 January 2023
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2022.112553
blow-upglobal existencequasilinear wave equationstructural dampingstrong dampingarbitrarily high initial energy
Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order hyperbolic equations (35L20) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05)
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Cites Work
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- Longtime behavior of the semilinear wave equation with gentle dissipation
- Global attractors for semilinear damped wave equations with critical exponent on \(\mathbb{R}^n\)
- Nonexistence of global solutions to semilinear wave equations in high dimensions
- Global attractors for semilinear hyperbolic equations
- Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
- Compact sets in the space \(L^ p(0,T;B)\)
- Global existence and exponential stability of small solutions to nonlinear viscoelasticity
- Saddle points and instability of nonlinear hyperbolic equations
- Long time behavior of strongly damped nonlinear wave equations
- On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
- Infinite-dimensional dynamical systems in mechanics and physics.
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- Nonlinear wave equations perturbed by viscous terms. Transl. from the Russian by M. A. Shishkova
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- Global attractor of the quasi-linear wave equation with strong damping
- Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian
- Attractors for strongly damped wave equations with critical nonlinearities.
- Energy decay for the quasilinear wave equation with viscosity
- On family of potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Limiting behavior of strongly damped nonlinear wave equations
- Initial boundary value problem for a class of strongly damped semilinear wave equations with logarithmic nonlinearity
- Asymptotic profile of solutions for semilinear wave equations with structural damping
- Finite time blow up for critical wave equations in high dimensions
- On wave equations of the \(p\)-Laplacian type with supercritical nonlinearities
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Global solutions and finite time blow up for damped semilinear wave equations
- On global solution of nonlinear hyperbolic equations
- A general theory of heat conduction with finite wave speeds
- Memory Driven Instability in a Diffusion Process
- On Global Existence, Asymptotic Stability and Blowing Up of Solutions for Some Degenerate Non-linear Wave Equations of Kirchhoff Type with a Strong Dissipation
- Exponential attractor for the wave equation with structural damping and supercritical exponent
- Semilinear structural damped waves
- Weak solutions and blow-up for wave equations of p-Laplacian type with supercritical sources
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Smooth attractors for strongly damped wave equations
- Global existence of small solutions to a class of nonlinear evolution equations
- Bifurcation with Memory
- On finite anti-plane shear for imcompressible elastic materials
- Global solutions for a nonlinear wave equation with the p-laplacian operator
- Instability and Nonexistence of Global Solutions to Nonlinear Wave Equations of the Form Pu tt = -Au + ℱ(u)
- Attractors for the strongly damped wave equation with p‐Laplacian
- Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities
- Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
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