Approximation of Calogero–Moser Lattices by Benjamin–Ono Equations

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-08-06 DOI:10.1137/24m1629869

J. Douglas Wright

引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 5583-5603, August 2024.
Abstract. We provide a rigorous validation that the infinite Calogero–Moser lattice can be well-approximated by solutions of the Benjamin–Ono equation in a long-wave limit.

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用本杰明-奥诺方程逼近卡洛吉罗-莫泽网格

SIAM 数学分析期刊》，第 56 卷第 4 期，第 5583-5603 页，2024 年 8 月。摘要。我们提供了一个严格的验证，即无限卡洛吉罗-莫瑟晶格可以在长波极限中通过本杰明-奥诺方程的解很好地近似。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.