An introduction to the Pullback exponential attractor associated with a system of non-autonomous nonlinear Schrödinger equations. |
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Palestrante: Rodiak Nicolai Figueroa López |
Data: 25/09 |
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Resumo: In this talk we consider the system of non-autonomous nonlinear Schrödinger equations with homogeneous Dirichlet boundary conditions in a domain [0,L] and time-dependent forcing. We study the local and global well-posedness and establish the existence of the family of pullback exponential attractors associated with the problem. As a consequence, we also derive the existence of a pullback attractor whose sections have finite fractal dimension uniformly bounded in time |
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