Asymptotic smoothing effect for a weakly damped forced equation of shallow water type

DOI10.1016/S0362-546X(01)00786-6zbMath1002.35102MaRDI QIDQ1612606

Xing-you Zhang

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

shallow water equationattractorasymptotic smoothing effectBourgain's space

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30)

Related Items (2)

The global attractor for a weakly damped forced shallow water equation in Sobolev spaces of low regularity ⋮ Existence and regularity of the global attractor for a weakly damped forced shallow water equation in \(H^1(\mathbb R)\)

Cites Work

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• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
• Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
• Infinite-dimensional dynamical systems in mechanics and physics.
• On the Cauchy problem for the Zakharov system
• Regularity of the attractor for a weakly damped nonlinear schrödinger equation
• The cauchy problem for a shallow water type equation
• A bilinear estimate with applications to the KdV equation

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