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- W2081870815 abstract "Three approaches for the rigorous study of the 2DNavier-Stokes equations (NSE) are applied to the Lorenz system.Analysis of time averaged solutions leads to a description ofinvariant probability measures on the Lorenz attractor which ismuch more complete than what is known for the NSE. As is the casefor the NSE, solutions on the Lorenz attractor are analytic in astrip about the real time axis. Rigorous estimates are combinedwith numerical computation of Taylor coefficients to estimate thewidth of this strip. Approximate inertial forms originallydeveloped for the NSE are analyzed for the Lorenz system, and thedynamics for the latter are completely described." @default.
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- W2081870815 date "2001-01-01" @default.
- W2081870815 modified "2023-10-08" @default.
- W2081870815 title "The Lorenz equation as a metaphor for the Navier-Stokes equations" @default.
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- W2081870815 doi "https://doi.org/10.3934/dcds.2001.7.403" @default.
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