A dyadic model on a tree

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2013
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Barbato, David
Bianchi, Luigi Amedeo
Flandoli, Franco
Morandin, Francesco
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We study an infinite system of non-linear differential equations coupled in a tree-like structure. This system was previously introduced in the literature and it is the model from which the dyadic shell model of turbulence was derived. It mimics 3d Euler and Navier-Stokes equations in a rough approximation of a wavelet decomposition. We prove existence of finite energy solutions, anomalous dissipation in the inviscid unforced case, existence and uniqueness of stationary solutions (either conservative or not) in the forced case.

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510 Mathematik
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ISO 690BARBATO, David, Luigi Amedeo BIANCHI, Franco FLANDOLI, Francesco MORANDIN, 2013. A dyadic model on a tree. In: Journal of Mathematical Physics. 2013, 54(2), 021507. ISSN 0022-2488. eISSN 1089-7658. Available under: doi: 10.1063/1.4792488
BibTex
@article{Barbato2013dyadi-45298,
  year={2013},
  doi={10.1063/1.4792488},
  title={A dyadic model on a tree},
  number={2},
  volume={54},
  issn={0022-2488},
  journal={Journal of Mathematical Physics},
  author={Barbato, David and Bianchi, Luigi Amedeo and Flandoli, Franco and Morandin, Francesco},
  note={Article Number: 021507}
}
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