Inverse problem for the geometric Navier-Stokes equations

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Yavar Kian, Lauri Oksanen, Ziyao Zhao
DOI: 10.48550/arxiv.2602.08644
Cited by: 0

Abstract

We consider the inverse problem of determining a compact Riemannian manifold with boundary from fixed time observations of the solution, restricted to a small subset in space, for the Navier-Stokes system with a local source on the manifold. Our approach is based on a reduction to an inverse problem for an auxiliary hyperbolic Stokes system, via linearization and spectral techniques. We solve the resulting inverse problem by a new generalization of the Boundary Control method.

Fields of Study & Subjects

Numerical methods in inverse problems Navier-Stokes equation solutions Stability and Controllability of Differential Equations

Publication details

Journal / source
arXiv (Cornell University)
Publication date
9 February 2026
Language
EN
Document type
Preprint