Boussinesq’s Equation for Water Waves: Asymptotics in Sector V

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-06-04 DOI:10.1137/23m1587671

C. Charlier, J. Lenells

引用次数: 0

Abstract

SIAM Journal on Mathematical Analysis, Volume 56, Issue 3, Page 4104-4142, June 2024.
Abstract. We consider the Boussinesq equation on the line for a broad class of Schwartz initial data for which (i) no solitons are present, (ii) the spectral functions have generic behavior near [math], and (iii) the solution exists globally. In a recent work, we identified 10 main sectors describing the asymptotic behavior of the solution, and for each of these sectors we gave an exact expression for the leading asymptotic term. In this paper, we give a proof for the formula corresponding to the sector [math].

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水波的布森斯克方程：第 V 扇形的渐近线

SIAM 数学分析期刊》，第 56 卷，第 3 期，第 4104-4142 页，2024 年 6 月。摘要。我们考虑了一类施瓦茨初始数据下的线上布森斯克方程，对于这类初始数据，(i) 不存在孤子，(ii) 谱函数具有[math]附近的一般行为，(iii) 解在全局上存在。在最近的一项工作中，我们确定了描述解的渐近行为的 10 个主要扇区，并给出了每个扇区的前导渐近项的精确表达式。在本文中，我们给出了与扇形 [math] 相对应的公式证明。

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.