{"title":"非线性阻尼波方程系统的新能量衰减","authors":"Xiangyu Zhu, Menglan Liao","doi":"10.1002/zamm.202200442","DOIUrl":null,"url":null,"abstract":"In this paper, a nonlinearly damped system of wave equations is considered. Uniform energy decay was discussed in the previous work (Discrete Contin. Dyn. Syst. Ser. S, 2 (2009) 583–608) for if the space dimension is 3. New energy decay is proposed for by choosing appropriate multiplier related to a non‐increasing differential function. As an example, a logarithmic energy decay is also presented.","PeriodicalId":509544,"journal":{"name":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New energy decay for a nonlinearly damped system of wave equations\",\"authors\":\"Xiangyu Zhu, Menglan Liao\",\"doi\":\"10.1002/zamm.202200442\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a nonlinearly damped system of wave equations is considered. Uniform energy decay was discussed in the previous work (Discrete Contin. Dyn. Syst. Ser. S, 2 (2009) 583–608) for if the space dimension is 3. New energy decay is proposed for by choosing appropriate multiplier related to a non‐increasing differential function. As an example, a logarithmic energy decay is also presented.\",\"PeriodicalId\":509544,\"journal\":{\"name\":\"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1002/zamm.202200442\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/zamm.202200442","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New energy decay for a nonlinearly damped system of wave equations
In this paper, a nonlinearly damped system of wave equations is considered. Uniform energy decay was discussed in the previous work (Discrete Contin. Dyn. Syst. Ser. S, 2 (2009) 583–608) for if the space dimension is 3. New energy decay is proposed for by choosing appropriate multiplier related to a non‐increasing differential function. As an example, a logarithmic energy decay is also presented.
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