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This article is cited in 6 scientific papers (total in 6 papers)
A remark on sets of determining elements for reaction-diffusion systems
I. D. Chueshov V. N. Karazin Kharkiv National University
Abstract:
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.
Received: 05.05.1996
Citation:
I. D. Chueshov, “A remark on sets of determining elements for reaction-diffusion systems”, Mat. Zametki, 63:5 (1998), 774–784; Math. Notes, 63:5 (1998), 679–687
Linking options:
https://www.mathnet.ru/eng/mzm1344https://doi.org/10.4213/mzm1344 https://www.mathnet.ru/eng/mzm/v63/i5/p774
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