The Energy Operator and New Scaling Relations for the Incompressible Navier--Stokes Equations

DOI10.1137/S0036139999354121zbMath0991.35062OpenAlexW1996611194MaRDI QIDQ2719115

Paul F. Batcho

Publication date: 21 June 2001

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139999354121

zbMATH Keywords

incompressible Navier-Stokes equationsenergy operatorinertial rangeeigensystemdissipation rangerange of scalesReynolds-Orr operator

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Navier-Stokes equations (35Q30) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlinear ordinary differential operators (34L30) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

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