Publikation: Uniqueness for an inviscid stochastic dyadic model on a tree
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2013
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Electronic Communications in Probability. 2013, 18, 8. eISSN 1083-589X. Available under: doi: 10.1214/ECP.v18-2382
Zusammenfassung
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 l2-initial conditions and is proven using a technique relying on the properties of the q-matrix associated to a continuous time Markov chain.
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Fachgebiet (DDC)
510 Mathematik
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SPDE; shell models; dyadic model; tree dyadic model; q-matrix; fluid dynamics; Girsanov’s transform; multiplicative noise
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BIANCHI, Luigi Amedeo, 2013. Uniqueness for an inviscid stochastic dyadic model on a tree. In: Electronic Communications in Probability. 2013, 18, 8. eISSN 1083-589X. Available under: doi: 10.1214/ECP.v18-2382BibTex
@article{Bianchi2013Uniqu-44964,
year={2013},
doi={10.1214/ECP.v18-2382},
title={Uniqueness for an inviscid stochastic dyadic model on a tree},
volume={18},
journal={Electronic Communications in Probability},
author={Bianchi, Luigi Amedeo},
note={Article Number: 8}
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