On the convergence of periodic Navier-Stokes flows

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dc.creatorPurvance, David T.
dc.date2006-10-02
dc.date2008-08-28
dc.date.accessioned2026-07-07T09:58:46Z
dc.date.available2026-07-07T09:58:46Z
dc.descriptionThe 3D spatially periodic Navier-Stokes equation is posed as a nonlinear matrix differential equation. When the flow is assumed to be a time series having unknown wavenumber coefficients, then the matrix in this periodic Navier-Stokes matrix differential equation becomes a time series of matrices. Posed in this way, any flow's unknown wavenumber coefficients can be solved for recursively beginning with the zeroth-order coefficient representing any initial flow. When all matrices in the time series commute, a flow's unknown coefficients also represent the Taylor expansion of a stable matrix exponential product operating on the initial flow. This paper argues that a solution's coefficients converge to these bounded Taylor coefficients when these bounds are evaluated with a general solution's noncommutative matrices.
dc.identifierhttps://arxiv.org/abs/math/0610086
dc.identifierhttp://arxiv.org/abs/math/0610086
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167840
dc.subjectAnalysis of PDEs
dc.subject35Q30, 35P05
dc.titleOn the convergence of periodic Navier-Stokes flows
dc.typetext

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