Singular support of the global attractor for a damped BBM equation

DOI10.3934/dcdsb.2020345zbMath1467.35285OpenAlexW3103197241MaRDI QIDQ2033854

Ming Wang, Yanbin Tang, Jian Hua Huang

Publication date: 18 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020345

zbMATH Keywords

unbounded domainglobal attractorBBM equationlocal regularitysingular support

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (2)

Asymptotically Autonomous Robustness of Random Attractors for 3D BBM Equations Driven by Nonlinear Colored Noise ⋮ Random dynamics of stochastic BBM equations driven by nonlinear colored noise on unbounded channel

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sharp global well-posedness of the BBM equation in \(L^p\) type Sobolev spaces
• The Benjamin-Bona-Mahony equation with dissipative memory
• Attractors for autonomous and nonautonomous 3D Benjamin-Bona-Mahony equations
• On the global attractor for the damped Benjamin-Bona-Mahony equation
• Sharp well-posedness results for the BBM equation
• Random attractors for the stochastic Benjamin-Bona-Mahony equation on unbounded domains
• An initial- and boundary-value problem for a model equation for propagation of long waves
• Strong attractors for the Benjamin-Bona-Mahony equation
• Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equations
• Dynamics of the BBM equation with a distribution force in low regularity spaces
• On Kato-Ponce and fractional Leibniz
• Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line.
• The analysis of linear partial differential operators. II: Differential operators with constant coefficients
• Pullback attractors for the non-autonomous Benjamin-Bona-Mahony equations in \(H^2\)
• Backward controller of a pullback attractor for delay Benjamin-Bona-Mahony equations
• Global attractor for weakly damped gKdV equations in higher Sobolev spaces
• Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks
• Long time dynamics for a damped Benjamin-Bona-Mahony equation in low regularity spaces
• Global attractors for the wave equation with nonlinear damping
• Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on \(\mathbb R^3\)
• Long time behavior of a damped generalized BBM equation in low regularity spaces
• Higher regularity of global attractor for a damped Benjamin–Bona–Mahony equation onR
• Existence of global attractors for the Benjamin–Bona–Mahony equation in unbounded domains
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• The initial-value problem for the Korteweg-de Vries equation
• Finite-dimensional behaviour for the Benjamin - Bona - Mahony equation
• Regularity of attractors for the Benjamin-Bona-Mahony equation
• Sharp global well‐posedness for the fractional BBM equation
• Random attractors for 3D Benjamin–Bona–Mahony equations derived by a Laplace-multiplier noise
• Global attractors for the Benjamin-Bona-Mahony equation with memory
• Model equations for long waves in nonlinear dispersive systems

This page was built for publication: Singular support of the global attractor for a damped BBM equation