O teorema de Cauchy na mecânica dos fluidos

• Ano de defesa: 2010
• Autor(a) principal: Menezes, Paulo César Almeida
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal de Santa Maria; BR; Matemática; UFSM; Programa de Pós-Graduação em Matemática
• Palavras-chave em Português: Mecânica do contínuo; Equações de Navier-Stokes; Teorema de Cauchy; Continuum mechanics; Navier-Stokes equations; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: http://repositorio.ufsm.br/handle/1/9967

The present work shows Cauchy's Theorem on its classical form, and it has the objective of weakening their statements, and provides aplications in continuum mechanics. The metodology used here is the axiomatic, that is, a presentation of basic concepts with fundamental results and theirs proofs. The main result here is Theorem 5, since it shows that for a Cauchy ux weakly balanced with density f there is a field such that f is linear in almost every points of R. The conclusion obtained is we can substitute the statement that f is a continuum function of position and have similar conclusions.