Global attractor for weakly damped, forced mKdV equation in low regularity spaces
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Publication:2107672
DOI10.1007/s40863-020-00207-yzbMath1504.35443OpenAlexW3123037001WikidataQ121627451 ScholiaQ121627451MaRDI QIDQ2107672
Publication date: 2 December 2022
Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40863-020-00207-y
Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) KdV equations (Korteweg-de Vries equations) (35Q53) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)
Cites Work
- Unnamed Item
- Unnamed Item
- Long time behavior of solutions of gKdV equations
- Global attractor for the weakly damped forced KdV equation in Sobolev spaces of low regularity
- Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\)
- The global attractor and numerical simulation of a forced weakly damped MKdV equation
- Generalized Korteweg-de Vries equation in \(H^1(\mathbb R)\)
- Finite dimensional behavior for weakly damped driven Schrödinger equations
- Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- A note on the strong convergence towards attractors of damped forced KdV equations
- Infinite-dimensional dynamical systems in mechanics and physics.
- On the regularity of the global attractor of a weakly damped, forced Korteweg-de Vries equation
- Asymptotic smoothing effect for weakly damped forced Korteweg-de Vries equations
- Existence of the global attractor for weakly damped, forced KdV equation on Sobolev spaces of negative index
- Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line.
- Global well-posedness for a coupled modified KdV system
- Global well-posedness of the derivative nonlinear Schrödinger equation with periodic boundary condition in \(H^{\frac{1}{2}}\)
- Sharp global well-posedness for a higher order Schrödinger equation
- The Korteweg–deVries Equation: A Survey of Results
- Attractors for non-compact semigroups via energy equations
- Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
- Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋
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