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GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV EQUATION BELOW ENERGY SPACE - MaRDI portal

GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV EQUATION BELOW ENERGY SPACE (Q5149646)

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scientific article; zbMATH DE number 7309660

Language	Label	Description	Also known as
English	GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV EQUATION BELOW ENERGY SPACE	scientific article; zbMATH DE number 7309660

Statements

scholarly article

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GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV EQUATION BELOW ENERGY SPACE (English)

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Nagoya Mathematical Journal

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publication date

12 February 2021

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full work available at URL

https://arxiv.org/abs/1809.09787

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zbMATH Keywords

modified Korteweg-de Vries

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mKdV on the one-dimensional torus

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resonant frequencies

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MaRDI profile type

MaRDI publication profile

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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The global attractor and numerical simulation of a forced weakly damped MKdV equation

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Sharp global well-posedness for KdV and modified KdV on ℝ and 𝕋

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Multilinear estimates for periodic KdV equations, and applications

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Resonant decompositions and the \(I\)-method for the cubic nonlinear Schrödinger equation on \(\mathbb R^2\)

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Generalized Korteweg-de Vries equation in \(H^1(\mathbb R)\)

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Finite dimensional behavior for weakly damped driven Schrödinger equations

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Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time

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A note on the strong convergence towards attractors of damped forced KdV equations

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Regularity of the attractor for a weakly damped nonlinear schrödinger equation

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Global attractor for weakly damped nonlinear Schrödinger equations in \(L^2(\mathbb R)\)

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Attractor for dissipative Klein-Gordon-Schrödinger equations in \(\mathbb{R}^3\)

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Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains

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Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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The Korteweg–deVries Equation: A Survey of Results

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Existence of global solutions and global attractor for the third order Lugiato-Lefever equation on \(\mathbf T\)

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Local well-posedness in low regularity of the mKdV equation with periodic boundary condition

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Infinite-dimensional dynamical systems in mechanics and physics.

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Existence of the global attractor for weakly damped, forced KdV equation on Sobolev spaces of negative index

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Long time behavior of solutions of gKdV equations

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Global attractor for the weakly damped forced KdV equation in Sobolev spaces of low regularity

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1017/NMJ.2019.17

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Sitelinks

Mathematics(1 entry)

mardi Publication:5149646

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