Recent progress in attractors for quintic wave equations
Analysis of PDEs
2013-11-14 v1
Abstract
We report on new results concerning the global well-posedness, dissipativity and attractors of the damped quintic wave equations in bounded domains of R^3.
Keywords
Cite
@article{arxiv.1311.3290,
title = {Recent progress in attractors for quintic wave equations},
author = {Anton Savostianov and Sergey Zelik},
journal= {arXiv preprint arXiv:1311.3290},
year = {2013}
}
Comments
This notes are prepared for the Proceedings of EQUADIFF 2013
Related papers
View all related →
Analysis of PDEs · Mathematics
Attractors for damped quintic wave equations in bounded domains
Varga Kalantarov, Anton Savostianov, Sergey Zelik
2013-09-25
Analysis of PDEs · Mathematics
Strong attractors for weakly damped quintic wave equation in bounded domains
Senlin Yan, Zhijun Tang, Chengkui Zhong
2022-11-02
Analysis of PDEs · Mathematics
Uniform attractors for measure-driven quintic wave equation with periodic boundary conditions
Anton Savostianov, Sergey Zelik
2018-10-09
Analysis of PDEs · Mathematics
Dynamics of the quintic wave equation with nonlocal weak damping
Feng Zhou, Hongfang Li, Kaixuan Zhu, Xinyu Mei
2024-10-02
Analysis of PDEs · Mathematics
Attractors for semilinear wave equations with localized damping and external forces
To Fu Ma, Paulo N. Seminario-Huertas
2021-02-25
Analysis of PDEs · Mathematics
Smooth attractors for the quintic wave equations with fractional damping
Anton Savostianov, Sergey Zelik
2013-06-11
Dynamical Systems · Mathematics
Stabilizing Energy-Critical Wave Equation to a Finite Dimensional Attractor via Nonlinear Damping
Irena Lasiecka, Vando Narciso
2025-11-07
Analysis of PDEs · Mathematics
Global attractors for the one dimensional wave equation with displacement dependent damping
A. Kh. Khanmamedov
2020-07-15
Analysis of PDEs · Mathematics
Attractors for Damped Semilinear Wave Equations with Singularly Perturbed Acoustic Boundary Conditions
Joseph L. Shomberg
2018-08-14
Dynamical Systems · Mathematics
Finite dimensional attractor for a composite system of wave/plate equations with localised damping
Francesca Bucci, Daniel Toundykov
2010-01-27
Analysis of PDEs · Mathematics
Global attractors for strongly damped wave equations with displacement dependent damping and nonlinear source term of critical exponent
Azer Khanmamedov
2012-02-28
Dynamical Systems · Mathematics
On the regularity of global attractors
Monica Conti, Vittorino Pata
2009-01-26
Analysis of PDEs · Mathematics
Infinite energy solutions for weakly damped quintic wave equations in $\mathbb{R}^3$
Xinyu Mei, Anton Savostianov, Chunyou Sun, Sergey Zelik
2020-04-27
Analysis of PDEs · Mathematics
Attractors for Strongly Damped Wave Equations with Nonlinear Hyperbolic Dynamic Boundary Conditions
P. Jameson Graber, Joseph L. Shomberg
2016-03-23
Dynamical Systems · Mathematics
Attractors for Damped Semilinear Wave Equations with a Robin--Acoustic Boundary Perturbation
Joseph L. Shomberg
2018-04-17
Analysis of PDEs · Mathematics
Deterministic and random attractors for a wave equation with sign changing damping
Qingquan Chang, Dandan Li, Chunyou Sun, Sergey Zelik
2019-10-08
Analysis of PDEs · Mathematics
On global attractors for 2D damped driven nonlinear Schr\"odinger equations
A. Komech, E. Kopylova
2020-08-07
Analysis of PDEs · Mathematics
Strichartz estimates and smooth attractors for a sub-quintic wave equation with fractional damping in bounded domains
Anton Savostianov
2014-03-31
Analysis of PDEs · Mathematics
Global attractors and their upper semicontinuity for a structural damped wave equation with supercritical nonlinearity on $\mathbb{R}^{N}$
Qionglei Chen, Pengyan Ding, Zhijian Yang
2019-05-17
Analysis of PDEs · Mathematics
Attractors for the strongly damped wave equation with $p$-Laplacian
Azer Khanmamedov, Zehra Şen
2017-08-02
Analysis of PDEs · Mathematics
Attractors for damped hyperbolic equations on arbitrary unbounded domains
Martino Prizzi, Krzysztof P. Rybakowski
2007-05-23
Analysis of PDEs · Mathematics
Well-posedness and global attractor for wave equation with nonlinear damping and super-cubic nonlinearity
Cuncai Liu, Fengjuan Meng, Xiaoying Han, Chang Zhang
2025-02-14
Mathematical Physics · Physics
Global Stability properties for a class of dissipative phenomena via one or several Liapunov functionals
Armando D'Anna, Gaetano Fiore
2012-09-28
Analysis of PDEs · Mathematics
Finite-dimensionality of attractors for wave equations with degenerate nonlocal damping
Zhijun Tang, Senlin Yan, Yao Xu, Chengkui Zhong
2023-10-30
Analysis of PDEs · Mathematics
Probabilistic global well-posedness of the energy-critical defocusing quintic nonlinear wave equation on $\mathbb{R}^3$
Tadahiro Oh, Oana Pocovnicu
2015-10-22