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A Finite Dimensional Property of a Parabolic Partial Differential Equation |
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| Authors: | Zhong?Bo?Fang,Minkyu?Kwak mailto:mkkwak@jnu.ac.kr" title=" mkkwak@jnu.ac.kr" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author |
| Affiliation: | (1) Department of Mathematics, Chonnam National University, Kwangju, 500-757, Korea |
| Abstract: | In this note, we prove that there exists an inertial manifold for a parabolic system which is related to the transformed Navier-Stokes equations. For the proof we find negatively bounded solutions. 1991 Mathematics Subject Classification: 35A05; 35B40; 35B42; 35K57. |
| Keywords: | Existence and uniqueness Inertial manifold Parabolic differential equation |
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