Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces

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DOI: https://doi.org/10.28924/2291-8639-23-2025-27
Published: Jan 27, 2025
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Sekson Sirisubtawee, Naowarat Manitcharoen, Chukiat Saksurakan, Flow Representation of the Navier-Stokes Equations in Weighted Sobolev Spaces, Int. J. Anal. Appl., 23 (2025), 27.

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Sekson Sirisubtawee, Naowarat Manitcharoen, Chukiat Saksurakan

Abstract

Using Constantin-Iyer representation also known more generally as Euler-Lagrangian approach, we prove the local existence of the Navier-Stokes equations in weighted Sobolev spaces with external forcing on Rd, for any dimension d and p such that p>d≥2.

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