Abstract
We investigate the qualitative behavior of solutions of cascade systems without uniqueness. We prove that solutions of a reaction-diffusion system perturbed by a system of ordinary differential equations and solutions of a system of equations of a viscous incompressible liquid with passive components form families of many-valued semiprocesses for which a compact global attractor exists in the phase space.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 9, pp. 1287–1291, September, 2004.
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Kapustyan, O.V. On the existence of global attractors for one class of cascade systems. Ukr Math J 56, 1532–1537 (2004). https://doi.org/10.1007/s11253-005-0132-8
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DOI: https://doi.org/10.1007/s11253-005-0132-8