Global attractor for the damped Benjamin–Bona–Mahony equations on R1

DOI10.1080/00036810601109135zbMath1124.35012OpenAlexW2025308884WikidataQ58248229 ScholiaQ58248229MaRDI QIDQ5423647

Chaosheng Zhu

Publication date: 31 October 2007

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810601109135

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41)

Related Items (13)

Gevrey regularity of the attractor for the Sobolev-galpern equation ⋮ Dynamics of the BBM equation with a distribution force in low regularity spaces ⋮ Attractor of a semi-discrete Benjamin–Bona–Mahony equation on R¹ ⋮ Higher regularity of global attractor for a damped Benjamin–Bona–Mahony equation onR ⋮ Exponential decay estimates for time-delayed Benjamin–Bona–Mahony equations ⋮ Attractor for the nonlinear Schrödinger equation with a nonlocal nonlinear term ⋮ Dynamical behavior of Benjamin-Bona-Mahony system with finite distributed delay in 3D ⋮ Dynamics of non-autonomous stochastic dissipative Hamiltonian amplitude wave equations with rapidly oscillating force ⋮ Long time dynamics for a damped Benjamin-Bona-Mahony equation in low regularity spaces ⋮ Long time behavior of a damped generalized BBM equation in low regularity spaces ⋮ Unnamed Item ⋮ Dynamics of a 3D Benjamin–Bona–Mahony equations with sublinear operator ⋮ On the regularity of the global attractor for a damped Rosenau equation onR

Cites Work

• On the decay of solutions of the generalized Benjamin-Bona-Mahony equation
• On the global attractor for the damped Benjamin-Bona-Mahony equation
• Dispersion of low-energy waves for the generalized Benjamin-Bona-Mahony equation
• Strong attractors for the Benjamin-Bona-Mahony equation
• Attractors for the generalized Benjamin-Bona-Mahony equation
• Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on \(\mathbb R^3\)
• Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions
• The generalized Benjamin-Bona-Mahony equation in n with singular initial data
• Finite-dimensional behaviour for the Benjamin - Bona - Mahony equation
• Model equations for long waves in nonlinear dispersive systems

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