{"title":"Well-posedness of Whitham-Broer-Kaup equation with negative dispersion","authors":"Nabil Bedjaoui, Youcef Mammeri","doi":"10.1007/s00030-023-00899-z","DOIUrl":null,"url":null,"abstract":"<p>In this work, we discuss the well-posedness of Whitham-Broer-Kaup equation with negative dispersion term. A symmetrizer is built, then we prove the existence and uniqueness of a solution using the vanishing viscosity method.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"52 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Differential Equations and Applications (NoDEA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00030-023-00899-z","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this work, we discuss the well-posedness of Whitham-Broer-Kaup equation with negative dispersion term. A symmetrizer is built, then we prove the existence and uniqueness of a solution using the vanishing viscosity method.