{"title":"附加弱耗散项的修正Camassa-Holm-Novikov方程的整体存在性和破波性","authors":"Jiaxing Li","doi":"10.1117/12.2679043","DOIUrl":null,"url":null,"abstract":"In this paper, we focus on the Cauchy problem for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term. We will investigate 3 aspects. First, we present some key facts about local well-posedness and blow-up criteria. Second, the wave-breaking phenomenon will be ensured by displaying some conditions related to the initial data. Then we present some results about the wave breaking criteria. We finally explore the global existence problem.","PeriodicalId":301595,"journal":{"name":"Conference on Pure, Applied, and Computational Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global existence and wave breaking for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term\",\"authors\":\"Jiaxing Li\",\"doi\":\"10.1117/12.2679043\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we focus on the Cauchy problem for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term. We will investigate 3 aspects. First, we present some key facts about local well-posedness and blow-up criteria. Second, the wave-breaking phenomenon will be ensured by displaying some conditions related to the initial data. Then we present some results about the wave breaking criteria. We finally explore the global existence problem.\",\"PeriodicalId\":301595,\"journal\":{\"name\":\"Conference on Pure, Applied, and Computational Mathematics\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Conference on Pure, Applied, and Computational Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1117/12.2679043\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference on Pure, Applied, and Computational Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1117/12.2679043","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global existence and wave breaking for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term
In this paper, we focus on the Cauchy problem for the modified Camassa-Holm-Novikov equation with an additional weakly dissipative term. We will investigate 3 aspects. First, we present some key facts about local well-posedness and blow-up criteria. Second, the wave-breaking phenomenon will be ensured by displaying some conditions related to the initial data. Then we present some results about the wave breaking criteria. We finally explore the global existence problem.
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