The restriction problem on the ellipsoid

2022/03/30 by Chi Hin Chan, Chan, Chi Hin, Magdalena Czubak +3
Computer Science · Mathematics · #35Q35 #76D99 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2203.16050

openalex publication_date 2022/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Following a restriction argument in the Euclidean space, we derive a geometric invariant formula for a possible viscosity operator for an incompressible fluid flow on an ellipsoid embedded in \mathbb R³. We also give an asymptotic expansion of the formula in terms of the eccentricity associated with the ellipsoid.

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