On Whitham and Related Equations

Klein Christian; Linares Felipe; Pilod Didier; Saut Jean‐Claude

摘要

Abstract >The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular, we establish rigorous bounds between solutions of the Whitham and Korteweg–de Vries equations and provide some insights into the dynamics of the Whitham equation in different regimes, some of them being outside the range of validity of the Whitham equation as a water waves model. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：lang =“en”> <title type =“main”>抽象</ title> >目标本文是通过理论分析和数值模拟研究WHITHAM和相关方程的动态。特别是，我们在Whitham和Korteeg-de Vries方程的解决方案之间建立严格的界限，并对不同制度的WHITHAM方程的动态提供了一些洞察力，其中一些在WHITHAM等式的有效范围内作为水波。模型。</ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-29329/'>《Studies in Applied Mathematics》</a> <b style="margin: 0 2px;">|</b><span>2018年第2期</span><b style="margin: 0 2px;">|</b><span>共45页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Klein Christian&option=202" target="_blank" rel="nofollow">Klein Christian;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Linares Felipe&option=202" target="_blank" rel="nofollow">Linares Felipe;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Pilod Didier&option=202" target="_blank" rel="nofollow">Pilod Didier;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Saut Jean‐Claude&option=202" target="_blank" rel="nofollow">Saut Jean‐Claude;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Institut de Mathématiques de Bourgogne UMR 5584Université de Bourgogne‐Franche‐Comté;</p> <p>IMPA;</p> <p>Instituto de MatemáticaUniversidade Federal do Rio de Janeiro;</p> <p>Laboratoire de Mathématiques UMR 8628Université Paris‐Sud et CNRS;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/1147.html" title="应用数学">应用数学;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> </p> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/journal-foreign-detail/0704020088613.html">New solitary solutions of the Gardner equation and Whitham-Broer-Kaup equations by the modified simplest equation method</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Kuo Chun-Ku&option=202" target="_blank" rel="nofollow" class="tuijian_auth tuijian_authcolor">Kuo Chun-Ku </a> <a href="/journal-foreign-27673/" target="_blank" rel="nofollow" class="tuijian_authcolor">Optik: Zeitschrift fur Licht- und Elektronenoptik: = 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initial;text-overflow: initial;overflow: initial;"> <span>机译：同时线性方程组的计算程序，同时线性方程组的计算装置和同时线性方程组的求解方法 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130435824627.html">Computing device of the calculation program and computer-readable recording medium as well as the system of linear equations was recorded the calculation program of simultaneous linear equations generated by the discretization of the differential equation</a> <b>[P]</b> . <span> 外国专利：  JP3864059B2 </span> <span> . 2006-12-27</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：记录了由微分方程离散化生成的联立线性方程的计算程序，计算程序和计算机可读记录介质的计算装置以及线性方程组。 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130447460933.html">CALCULATION PROGRAM OF SIMULTANEOUS LINEAR EQUATIONS FORMULATED BY DIGITIZING OF DIFFERENTIAL EQUATION, COMPUTER-READABLE RECORDING MEDIUM RECORDING CALCULATION PROGRAM, AND CALCULATOR FOR SIMULTANEOUS LINEAR EQUATIONS</a> <b>[P]</b> . <span> 外国专利：  JP2002312341A </span> <span> . 2002-10-25</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：由微分方程数字化，计算机可读记录介质记录计算程序和同时线性方程式计算公式生成的线性方程组的计算程序 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704024473343','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" 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