Rezounenko, A. V. Inertial manifolds with delay for retarded semilinear parabolic equations. (English) Zbl 1011.37046 Discrete Contin. Dyn. Syst. 6, No. 4, 829-840 (2000). Summary: We consider the system of parabolic equations with distributed delay. The existence of inertial manifolds with delay is proved. We prove that the system has finite number of determining modes and can be reproduced by a finite-dimensional system with concentrated delays. Cited in 1 ReviewCited in 4 Documents MSC: 37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems 35B42 Inertial manifolds 35R10 Partial functional-differential equations Keywords:infinite-dimensional dynamical systems; numerical simulation; dissipative systems; retarded nonlinear PDEs; distributed delay; concentrated delays PDFBibTeX XMLCite \textit{A. V. Rezounenko}, Discrete Contin. Dyn. Syst. 6, No. 4, 829--840 (2000; Zbl 1011.37046) Full Text: DOI