Abstract
For the problem of nonlinear oscillations of an infinite panel in supersonic gas flow, we prove the existence of a finite-dimensional invariant manifold, that exponentially attracts trajectories of the system and contains the maximal attractor.
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Literature cited
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Translated from Ukrainskii Matematicheskii. Zhurnal, Vol. 42, No. 9, pp. 1291–1293, September, 1990.
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Chueshov, I.D. An inertial manifold in the problem of nonlinear oscillations of an infinite panel. Ukr Math J 42, 1149–1151 (1990). https://doi.org/10.1007/BF01056616
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DOI: https://doi.org/10.1007/BF01056616