Asymptotic behavior of solutions for Klein-Gordon and thermoelastic plate systems

• Ano de defesa: 2019
• Autor(a) principal: Silva, Cládio Odair Pereira da
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal da Paraíba; Brasil; Matemática; Programa de Pós-Graduação em Matemática; UFPB
• Palavras-chave em Português: Atrator global; Sistema termoelástico da placa; Termo concentrado na fronteira; Sistema de Klein-Gordon; Comportamento assintótico; Funcional energia; Global attractor; Thermoelastic plate systems; Concentrated term in the boundary; Klein-Gordon system; Asymptotic behavior; Energy functional; CNPQ::CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufpb.br/jspui/handle/123456789/19654

In this work we study a Klein-Gordon system with mixed boundary conditions and a thermoelastic plate system with Neumann boundary conditions. In the first system we analyze the existence and uniqueness of global solution. Moreover, we show the exponential decay of energy associated to solution. In the second system we show the existence, uniform boundedness, and continuity of the global attractors when some reaction terms are concentrated in a neighborhood of the boundary and this neighborhood shrinks to boundary as a parameter goes to zero.