On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system (Q2021754)

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English	On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system	scientific article

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scholarly article

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On the Korteweg-de Vries limit for the Fermi-Pasta-Ulam system (English)

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Archive for Rational Mechanics and Analysis

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publication date

27 April 2021

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full work available at URL

https://arxiv.org/abs/1912.11992

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zbMATH Keywords

Fermi-Pasta-Ulam system

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Korteweg-de Vries equation

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MaRDI profile type

MaRDI publication profile

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On metastability in FPU

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Localization of energy in FPU chains

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The Fermi–Pasta–Ulam problem: Fifty years of progress

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The initial-value problem for the Korteweg-de Vries equation

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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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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Rigorous description of macroscopic wave packets in infinite periodic chains of coupled oscillators by modulation equations

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Asymptotics, frequency modulation, and low regularity ill-posedness for canonical defocusing equations

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

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Local Smoothing Properties of Dispersive Equations

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Nonlinear coherent structures in physics and biology. Proceedings of the 7th interdisciplinary workshop, held at Dijon, France, 4-6 June, 1991

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Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

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Solitary waves on FPU lattices: II. Linear implies nonlinear stability

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Solitary waves on Fermi–Pasta–Ulam lattices: III. Howland-type Floquet theory

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Solitary waves on Fermi–Pasta–Ulam lattices: IV. Proof of stability at low energy

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Existence theorem for solitary waves on lattices

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Approximation of Polyatomic FPU Lattices by KdV Equations

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The Fermi-Pasta-Ulam problem. A status report

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The nonlinear Schrödinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities

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Dispersive evolution of pulses in oscillator chains with general interaction potentials

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Global well-posedness of Korteweg-de Vries equation in \(H^{-3/4}(\mathbb R)\)

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Strong Convergence for Discrete Nonlinear Schrödinger equations in the Continuum Limit

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Uniform Strichartz estimates on the lattice

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Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation

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Endpoint Strichartz estimates

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On the (generalized) Korteweg-de Vries equation

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Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation

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The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

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Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

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A bilinear estimate with applications to the KdV equation

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On the ill-posedness of some canonical dispersive equations.

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KdV is well-posed in \(H^{-1}\)

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Well-posedness of the Cauchy problem for the Korteweg-de Vries equation at the critical regularity.

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Macroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transforms

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Asymptotic stability of \(N\)-solitary waves of the FPU lattices

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Korteweg–de Vries equation and energy sharing in Fermi–Pasta–Ulam

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Symmetry and resonance in periodic FPU chains

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Proof of Nishida's conjecture on anharmonic lattices

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Remarks on the Korteweg-de Vries equation

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Bounds for the nonlinear Schrödinger approximation of the Fermi–Pasta–Ulam system

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Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations

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Fermi–Pasta–Ulam, solitons and the fabric of nonlinear and computational science: History, synergetics, and visiometrics

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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States

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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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10.1007/S00205-021-01629-4

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Mathematics(1 entry)

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