Attractors for nonlinear and non-autonomous parabolic PDEs
María Anguiano Moreno
Broschiertes Buch

Attractors for nonlinear and non-autonomous parabolic PDEs

Existence of pullback attractors for nonlinear and non-autonomous parabolic PDEs in unbounded domains

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The understanding of the asymptotic behaviour of dynamical systems is one of the most important problems of modern mathematical physics. One way to treat this problem for systems having some dissipativity properties is to analyze the existence and structure of its global attractor. On some occasions, some phenomena are modelled by nonlinear evolutionary equations which do not take into account all the relevant information of the real systems. Instead some neglected quantities can be modelled as an external force which in general becomes time-dependent. For this reason, non-autonomous systems a...