On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System-Reference-Cited by-同舟云学术

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On the Korteweg–de Vries Limit for the Fermi–Pasta–Ulam System

Published:2021-03-05 Issue:2 Volume:240 Page:1091-1145
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Hong Younghun,Kwak Chulkwang,Yang Changhun

Funder

National Research Foundation of Korea

project France-Chile ECOS- Sud

Chungbuk National University

Ewha Womans University

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

https://link.springer.com/content/pdf/10.1007/s00205-021-01629-4.pdf

Reference50 articles.

1. Bambusi, D., Ponno, A.: On metastability in FPU. Commun. Math. Phys. 264(2), 539–561, 2006

2. Berchialla, L., Galgani, L., Giorgilli, A.: Localization of energy in FPU chains. Discrete Contin. Dyn. Syst. 11(4), 855–866, 2004

3. Berman, G.P., Izrailev, F.M.: The Fermi–Pasta–Ulam problem: fifty years of progress. Chaos 15(1), 015104, 18, 2005

4. Bona, J.L., Smith, R.: The initial-value problem for the Korteweg–de Vries equation. Philos. Trans. R. Soc. London Ser. A 278(1287), 555–601, 1975

5. Bourgain, J.: Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I. Schrödinger equations. Geom. Funct. Anal. 3(2), 107–156, 1993

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4. Long-timescale soliton dynamics in the Korteweg–de Vries equation with multiplicative translation-invariant noise;Physica D: Nonlinear Phenomena;2024-04

5. Long-time approximations of small-amplitude, long-wavelength FPUT solutions;Discrete and Continuous Dynamical Systems;2024

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