Resultados teóricos de controlabilidade para algumas EDPs não-lineares da física

• Ano de defesa: 2015
• Autor(a) principal: Sousa, Ivaldo Tributino de
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Palavras-chave em Português: Análise; Fronteira livre; Navier-Stokes system
• Link de acesso: http://www.repositorio.ufc.br/handle/riufc/61561

This Thesis deals with the local null control of a free-boundary problem for the 1D semilinear heat equation with distributed controls (locally supported in space) or boundary controls (acting at x = 0). we prove that, if the final time T is fixed and the initial state is sufficiently small, there exists controls that drive the state exactly to rest at time t = T. Furthermore, we analyze the null controllability of a 1D nonlinear system which models the interaction of a fluid and its boundary. The fluid is governed by the viscous Burgers equation and the distributed controls. Lastly, we deal with the 3D Navier-Stokes and Boussinesq system, posed in a cube. In this context, we prove a result concerning its global approximate controllability by means of boundary controls which act in some part of cube faces.