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Existence and large time behavior for generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible fluids
Orientador(es)
Resumo(s)
Generalized Kelvin-Voigt equations governing nonhomogeneous and incompressible
fluids are considered in this work. We assume that, in the momentum equation, the diffusion
and relaxation terms are described by two distinct power-laws. Moreover, we assume that the
momentum equation is perturbed by an extra term, which, depending on whether its signal is
positive or negative, may account for the presence of a source or a sink within the system. For
the associated initial-boundary value problem, we study the existence of weak solutions as well
as the large time behavior of the solutions.
Descrição
Palavras-chave
Kelvin-Voigt
Contexto Educativo
Citação
Editora
IOP Publishing