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Uniqueness for an inviscid stochastic dyadic model on a tree


 
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1. Title Title of document Uniqueness for an inviscid stochastic dyadic model on a tree
 
2. Creator Author's name, affiliation, country Luigi Amedeo Bianchi; Scuola Normale Superiore - Pisa; Italy
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) SPDE; shell models; dyadic model; tree dyadic model; q-matrix; fluid dynamics; Girsanov’s transform; multiplicative noise
 
3. Subject Subject classification 60H15;35Q31;35R60;60J28;76B03
 
4. Description Abstract In this paper we prove that the lack of uniqueness for solutions of the tree dyadic model of turbulence is overcome with the introduction of a suitable noise. The uniqueness is a weak probabilistic uniqueness for all $l^2$-initial conditions and is proven using a technique relying on the properties of the   $q$-matrix associated to a continuous time Markov chain.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s)
 
7. Date (YYYY-MM-DD) 2013-01-31
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/2382
 
10. Identifier Digital Object Identifier 10.1214/ECP.v18-2382
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 18
 
12. Language English=en en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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