Hexagonal structures in 2D flows
| Ano de defesa: | 2025 |
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| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso embargado |
| Idioma: | eng |
| Instituição de defesa: |
Universidade Federal de Pernambuco
UFPE Brasil Programa de Pos Graduacao em Matematica |
| Programa de Pós-Graduação: |
Não Informado pela instituição
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| Departamento: |
Não Informado pela instituição
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| País: |
Não Informado pela instituição
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| Palavras-chave em Português: | |
| Link de acesso: | https://repositorio.ufpe.br/handle/123456789/62260 |
Resumo: | 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. |