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Asymptotic expansion for solutions of the Navier-Stokes equations with potential forces

Posted on:2012-01-09Degree:Ph.DType:Dissertation
University:University of Southern CaliforniaCandidate:Reis, EdneiFull Text:PDF
GTID:1450390011956910Subject:Applied Mathematics
Abstract/Summary:
We derive an asymptotic expansion for smooth solutions of the Navier-Stokes equations in weighted spaces. This result removes previous restrictions on the number of terms of the asymptotics, as well as on the range of the polynomial weights. We also write the expansion in terms of expressions involving non-linear quantities.
Keywords/Search Tags:Expansion, Navier-stokes equations
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