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Título : | Hexagonal structures in 2D flows |
Autor : | NASI, Matheus Carneiro Leão |
Palabras clave : | Geometric structures in 2D flows; Navier-Stokes equations; asymptotic ex- pansions |
Fecha de publicación : | 24-ene-2025 |
Editorial : | Universidade Federal de Pernambuco |
Citación : | NASI, Matheus Carneiro Leao. Hexagonal structures in 2D flows. 2025. Dissertação (Mestrado em Matemática) – Universidade Federal de Pernambuco, Recife, 2025. |
Resumen : | On the paper Hexagonal Structures in 2D Navier-Stokes Flows, [Bra22], by Lorenzo Bran- dolese, the author studies the sponteneous formation of hexagonal structures in 2D flows of Leray’s solutions to the Navier-Stokes equations. The author also analyzes the isotropic character of the energy density in two-dimensional fluids in the far field, showing that the particles are nowhere at rest at large distances. In this dissertation, we go through the cal- culations and results obtained by the author in detail. Moreover, we extend some results to the more general MHD system, and show a necessary condition on the estimate for the lower bound of the far field radius (found in [BV07]) so that such hexagonal structures appear. |
URI : | https://repositorio.ufpe.br/handle/123456789/62260 |
Aparece en las colecciones: | Dissertações de Mestrado - Matemática |
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Fichero | Descripción | Tamaño | Formato | |
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DISSERTAÇÃO Matheus Carneiro Leão Nasi.pdf Artículo embargado hasta 2026-04-05 | 641,11 kB | Adobe PDF | Visualizar/Abrir Item embargoed |
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