Pullback attractors for a semilinear heat equation on time-varying domains ✩

By Peter E. Kloeden, José Real, Chunyou Sun. 2009

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Abstract The existence of a pullback attractor is established for the nonautonomous dynamical system generated by the weak solutions of a semilinear heat equation on time-varying domains with homogeneous Dirichlet boundary conditions. It is assumed that the spatial domains O t in R N are obtained from a bounded base domain O by a C 2 -diffeomorphism, which is continuously differentiable in the time variable, and are contained, in the past, in a common bounded domain.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/0215a28f1d380845b1f61711053897d740cdffb1