Exponential asymptotic stability of a class of dynamical systems with applications to models of turbulent flow in two and three dimensions

DOI10.1017/S0308210511000072zbMath1236.35012OpenAlexW1996152203MaRDI QIDQ2882510

Joel D. Avrin

Publication date: 6 May 2012

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210511000072

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Dynamical systems approach to turbulence (76F20)

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Asymptotic Galerkin convergence and dynamical system results for the 3-D spectrally-hyperviscous Navier-Stokes equations on bounded domains

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