On the existence of global attractors for one class of cascade systems
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.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 9, pp 1532-1537.
Citation Example: Kapustyan O. V. On the existence of global attractors for one class of cascade systems // Ukr. Mat. Zh. - 2004. - 56, № 9. - pp. 1287-1291.