{"title":"带延迟项的板方程在无限时间内的爆炸解","authors":"E. Pişkin, Hazal Yüksekkaya","doi":"10.3126/jnms.v6i2.63018","DOIUrl":null,"url":null,"abstract":"In this article, we investigate the viscoelastic plate equation with both delay and source terms. Initially, we give the local-global existence results. Later, we establish the blow-up results at infinite time by utilizing the energy method when E (0) < 0 under suitable conditions. Delays effect generally seems in many practical problems for instance medicine, biological, chemical, physical, thermal, economic phenomena, electrical engineering systems and mechanical applications.","PeriodicalId":401623,"journal":{"name":"Journal of Nepal Mathematical Society","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Blow up at Infinite Time of Solutions for a Plate Equation with Delay Term\",\"authors\":\"E. Pişkin, Hazal Yüksekkaya\",\"doi\":\"10.3126/jnms.v6i2.63018\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we investigate the viscoelastic plate equation with both delay and source terms. Initially, we give the local-global existence results. Later, we establish the blow-up results at infinite time by utilizing the energy method when E (0) < 0 under suitable conditions. Delays effect generally seems in many practical problems for instance medicine, biological, chemical, physical, thermal, economic phenomena, electrical engineering systems and mechanical applications.\",\"PeriodicalId\":401623,\"journal\":{\"name\":\"Journal of Nepal Mathematical Society\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-02-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Nepal Mathematical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3126/jnms.v6i2.63018\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Nepal Mathematical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3126/jnms.v6i2.63018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了具有延迟项和源项的粘弹性板方程。首先,我们给出了局部-全局存在结果。随后,当 E (0) < 0 时,我们在合适的条件下利用能量法建立了无限时间的炸毁结果。延迟效应通常出现在许多实际问题中,如医学、生物、化学、物理、热学、经济现象、电气工程系统和机械应用等。
Blow up at Infinite Time of Solutions for a Plate Equation with Delay Term
In this article, we investigate the viscoelastic plate equation with both delay and source terms. Initially, we give the local-global existence results. Later, we establish the blow-up results at infinite time by utilizing the energy method when E (0) < 0 under suitable conditions. Delays effect generally seems in many practical problems for instance medicine, biological, chemical, physical, thermal, economic phenomena, electrical engineering systems and mechanical applications.