Construction of a center-unstable manifold for \(C^ 1\)-flows and an application to the Navier-Stokes equation

DOI10.1007/BF00279959zbMath0606.34029OpenAlexW2073553291MaRDI QIDQ1084571

Biancamaria D'Onofrio, Gianfausto Dell'Antonio

Publication date: 1986

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00279959

zbMATH Keywords

Navier-Stokes flowscenter-unstable manifold

Mathematics Subject Classification ID

Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Dynamical systems and ergodic theory (37-XX)

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Existence et stabilité de la solution périodique secondaire intervenant dans les problèmes d'évolution du type Navier-Stokes
• On the nonstationary Navier-Stokes systems

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