Robust attractors for a Kirchhoff-Boussinesq type equation
DOI10.3934/eect.2020020zbMath1442.35044OpenAlexW2995090838WikidataQ126535698 ScholiaQ126535698MaRDI QIDQ777227
Na Feng, Zhijian Yang, Ya-Nan Li
Publication date: 3 July 2020
Published in: Evolution Equations and Control Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/eect.2020020
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Critical exponents in context of PDEs (35B33) Higher-order quasilinear hyperbolic equations (35L77)
Cites Work
- Unnamed Item
- Unnamed Item
- Upper semicontinuity of pullback attractors for nonautonomous Kirchhoff wave models
- On the 3D Cahn-Hilliard equation with inertial term
- Attractors for infinite-dimensional non-autonomous dynamical systems
- Attractors for weakly damped beam equations with \(p\)-Laplacian
- Pullback exponential attractors for nonautonomous equations. I: Semilinear parabolic problems
- Exponential attractors for non-autonomous dissipative system
- Long-time dynamics of Kirchhoff wave models with strong nonlinear damping
- Existence, uniqueness of weak solutions and global attractors for a class of nonlinear 2D Kirchhoff-Boussinesq models
- Finite-dimensional attractors for the quasi-linear strongly-damped wave equation
- On the continuity of pullback attractors for evolution processes
- Compact sets in the space \(L^ p(0,T;B)\)
- Global existence of smooth solutions and stability of solitary waves for a generalized Boussinesq equation
- Global existence and exponential stability of small solutions to nonlinear viscoelasticity
- On a global in time existence theorem of smooth solutions to a nonlinear wave equation with viscosity
- Global existence of small solutions for a generalized Boussinesq equation
- Attractors and their stability on Boussinesq type equations with gentle dissipation
- Criteria on the existence and stability of pullback exponential attractors and their application to non-autonomous Kirchhoff wave models
- Global attractor of the Kirchhoff wave models with strong nonlinear damping
- Energy decay for the quasilinear wave equation with viscosity
- Longtime dynamics of the damped Boussinesq equation
- Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
- Pullback exponential attractors
- Longtime dynamics of Boussinesq type equations with fractional damping
- Pullback exponential attractors for evolution processes in Banach spaces: properties and applications
- On Global Attractor for 2D Kirchhoff-Boussinesq Model with Supercritical Nonlinearity
- Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity
- Long-time behavior of second order evolution equations with nonlinear damping
- On the 2D Cahn–Hilliard Equation with Inertial Term
- Finite-dimensional attractors for the Kirchhoff models
- Longtime dynamics of the quasi-linear wave equations with structural damping and supercritical nonlinearities
- Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems
- Uniform attractor for non‐autonomous Boussinesq‐type equation with critical nonlinearity
- Eigenfunction expansion method and the long-time asymptotics for the damped Boussinesq equation
This page was built for publication: Robust attractors for a Kirchhoff-Boussinesq type equation
