Geodesic
Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere
Matematičeskie zametki, Tome 111 (2022) no. 1, pp. 54-66

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We prove the existence of a global attractor of a regularized Euler–Bardina system with dissipation on the two-dimensional sphere and in arbitrary domains on the sphere. Explicit estimates for the fractal dimension of the attractor in terms of its physical parameters are obtained.
Keywords: Euler's system, Bardina's model, attractors, spectral inequalities on the sphere.
Mots-clés : fractal dimension 
@article{MZM_2022_111_1_a5,
     author = {S. V. Zelik and A. A. Ilyin and A. G. Kostyanko},
     title = {Estimates for the {Dimension} of {Attractors} of a {Regularized} {Euler} {System} with {Dissipation} on the {Sphere}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {54--66},
     publisher = {mathdoc},
     volume = {111},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_1_a5/}
}
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S. V. Zelik; A. A. Ilyin; A. G. Kostyanko. Estimates for the Dimension of Attractors of a Regularized Euler System with Dissipation on the Sphere. Matematičeskie zametki, Tome 111 (2022) no. 1, pp. 54-66. http://geodesic.mathdoc.fr/item/MZM_2022_111_1_a5/