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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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