Robust exponential attractors for a class of non-autonomous semi-linear second-order evolution equation with memory and critical nonlinearity
From MaRDI portal
Publication:4628957
DOI10.1080/00036811.2017.1413710zbMath1409.35176OpenAlexW2774269464WikidataQ115552870 ScholiaQ115552870MaRDI QIDQ4628957
Shan-Lin Wang, Li Wang, Fang-hong Zhang
Publication date: 25 March 2019
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2017.1413710
critical exponentasymptotic regularityrobust exponential attractorsuniform attractorsnonautonomous semi-linear second-order evolution
PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Robust exponential attractors for non-autonomous equations with memory
- Asymptotic behavior of a class of nonlinear evolution equations
- Homogenization of partial differential equations. Translated from the original Russian by M. Goncharenko and D. Shepelsky
- Problem reduction, renormalization, and memory
- Robust exponential attractors for a phase-field system with memory
- Strongly damped wave problems: bootstrapping and regularity of solutions
- Robust exponential attractors for the strongly damped wave equation with memory. I.
- On the regularity of global attractors
- A mathematical justification for Korteweg-de Vries equation and Boussinesq equation of water surface waves
- Asymptotic behavior of a semilinear problem in heat conduction with memory
- Infinite-dimensional dynamical systems in mechanics and physics.
- Optimal prediction with memory
- The Cauchy problem for the generalized IMBq equation in \(W^{s,p}(\mathbb R^n)\).
- Asymptotic regularity of solutions of a nonautonomous damped wave equation with a critical growth exponent
- On the strongly damped wave equation
- Attractors for strongly damped wave equations with critical nonlinearities.
- Asymptotic stability in viscoelasticity
- The existence of global attractors for a class nonlinear evolution equation
- Existence and Asymptotic Behavior for a Strongly Damped Nonlinear Wave Equation
- Asymptotic behavior for a semilinear second order evolution equation
- Smooth attractors for strongly damped wave equations
- Dynamics of strongly damped wave equations in locally uniform spaces: Attractors and asymptotic regularity
- Local well posedness, asymptotic behavior and asymptotic bootstrapping for a class of semilinear evolution equations of the second order in time
- Solitary-Wave Interactions in Elastic Rods
- Longtime Behaviour of Strongly Damped Wave Equations, Global Attractors and Their Dimension
- Local well posedness for strongly damped wave equations with critical nonlinearities
- Singular limit of differential systems with memory
- Exponential attractors and finite-dimensional reduction for non-autonomous dynamical systems
- Attractors for semilinear strongly damped wave equations on \(\mathbb{R}^3\).