中国科学院机构知识库网格系统: Delayed blow-up by transport noise

Delayed blow-up by transport noise

文献类型：期刊论文


作者	Flandoli, Franco 1; Galeati, Lucio 2; Luo, Dejun3,4
刊名	COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
出版日期	2021-02-25
页码	32
关键词	Dissipation enhancement Fisher– KPP equation Keller– Segel equation Kuramoto– Sivashinsky equation scaling limit transport noise
ISSN号	0360-5302
DOI	10.1080/03605302.2021.1893748
英文摘要	For some deterministic nonlinear PDEs on the torus whose solutions may blow up in finite time, we show that, under suitable conditions on the nonlinear term, the blow-up is delayed by multiplicative noise of transport type in a certain scaling limit. The main result is applied to the 3D Keller-Segel, 3D Fisher-KPP, and 2D Kuramoto-Sivashinsky equations, yielding long-time existence for large initial data with high probability.
资助项目	National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11688101] ; National Natural Science Foundation of China[11931004] ; National Natural Science Foundation of China[12090014]
WOS研究方向	Mathematics
语种	英语
WOS记录号	WOS:000628048300001
出版者	TAYLOR & FRANCIS INC
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58426]
专题	应用数学研究所
通讯作者	Flandoli, Franco
作者单位	1.Scuola Normale Super Pisa, Piazza Cavalieri 7, I-56124 Pisa, Italy 2.Univ Bonn, Inst Appl Math, Bonn, Germany 3.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab RCSDS, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Flandoli, Franco,Galeati, Lucio,Luo, Dejun. Delayed blow-up by transport noise[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2021:32.
APA	Flandoli, Franco,Galeati, Lucio,&Luo, Dejun.(2021).Delayed blow-up by transport noise.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,32.
MLA	Flandoli, Franco,et al."Delayed blow-up by transport noise".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2021):32.

入库方式： OAI收割

来源：数学与系统科学研究院

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Delayed blow-up by transport noise

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