{"title":"kuramoto-sivashinsky方程中时间平均模式的激波结构","authors":"Sakaguchi","doi":"10.1103/physreve.62.8817","DOIUrl":null,"url":null,"abstract":"<p><p>The Kuramoto-Sivashinsky equation with fixed boundary conditions is numerically studied. Shocklike structures appear in the time-averaged patterns for some parameter range of the boundary values. Effective diffusion constant is estimated from the relation of the width and the height of the shock structures.</p>","PeriodicalId":20079,"journal":{"name":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","volume":"62 6 Pt B","pages":"8817-9"},"PeriodicalIF":0.0000,"publicationDate":"2000-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/physreve.62.8817","citationCount":"6","resultStr":"{\"title\":\"Shock structures in time-averaged patterns for the kuramoto-sivashinsky equation\",\"authors\":\"Sakaguchi\",\"doi\":\"10.1103/physreve.62.8817\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>The Kuramoto-Sivashinsky equation with fixed boundary conditions is numerically studied. Shocklike structures appear in the time-averaged patterns for some parameter range of the boundary values. Effective diffusion constant is estimated from the relation of the width and the height of the shock structures.</p>\",\"PeriodicalId\":20079,\"journal\":{\"name\":\"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics\",\"volume\":\"62 6 Pt B\",\"pages\":\"8817-9\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1103/physreve.62.8817\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1103/physreve.62.8817\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1103/physreve.62.8817","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Shock structures in time-averaged patterns for the kuramoto-sivashinsky equation
The Kuramoto-Sivashinsky equation with fixed boundary conditions is numerically studied. Shocklike structures appear in the time-averaged patterns for some parameter range of the boundary values. Effective diffusion constant is estimated from the relation of the width and the height of the shock structures.