{"title":"On Some Global Properties of Multivalued Simple Waves","authors":"D. V. Tunitsky","doi":"10.25728/ASSA.2020.20.4.1022","DOIUrl":null,"url":null,"abstract":"The Cauchy problem for one-dimensional quasilinear wave equation is considered. In the case that its solutions are multivalued simple waves, we derive explicit expressions in quadratures by introducing global characteristic coordinates. The main result of the paper is a theorem on some global properties of multivalued simple waves.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"125-131"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Systems Science and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25728/ASSA.2020.20.4.1022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
The Cauchy problem for one-dimensional quasilinear wave equation is considered. In the case that its solutions are multivalued simple waves, we derive explicit expressions in quadratures by introducing global characteristic coordinates. The main result of the paper is a theorem on some global properties of multivalued simple waves.
期刊介绍：
Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.
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