Geodesic
A remark on sets of determining elements for reaction-diffusion systems
Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 774-784

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For a class of systems of parabolic equations, conditions represented by a finite set of linear functionals on the phase space that uniquely determine the long-time behavior of solutions are found. The cases in which it is sufficient to define these determining functionals only on a part of the components of the state vector are singled out. As examples, systems describing the Belousov–Zhabotinsky reaction and the two-dimensional Navier–Stokes equations are considered. 
@article{MZM_1998_63_5_a15,
     author = {I. D. Chueshov},
     title = {A remark on sets of determining elements for reaction-diffusion systems},
     journal = {Matemati\v{c}eskie zametki},
     pages = {774--784},
     publisher = {mathdoc},
     volume = {63},
     number = {5},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a15/}
}
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I. D. Chueshov. A remark on sets of determining elements for reaction-diffusion systems. Matematičeskie zametki, Tome 63 (1998) no. 5, pp. 774-784. http://geodesic.mathdoc.fr/item/MZM_1998_63_5_a15/