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Title Asymptotic behaviour for a double time-delayed 2D-Navier-Stokes model

Name Pedro Marin-Rubio
Country Spain
Email pmr@us.es
Co-Author(s) Julia Garcia-Luengo, Gabriela Planas
Submit Time 2013-12-11 08:17:04
Special Session 2: Nonlinear evolution PDEs and interfaces in applied sciences
In this contribution we analyze the well-posedness and asymptotic behaviour of a double time-delayed 2D-Navier-Stokes model with delay effects in the nonlinear term. Some surprising facts arise in this simple perturbation, for instance about uniqueness of solution, and therefore a suitable approach must be used in order to ensure the existence of attractor. For a suitable choice of the phase-space we prove that the problem is certainly well-posed and have an attractor.\\ This is a joint work with Julia Garc\'{\i}a-Luengo, from Universidad de Sevilla (Spain), and Gabriela Planas, from Universidade Estadual de Campinas (Brazil).