On the Ricci-flat metric for the Navier-Stokes equations
Valerii Dryuma
TL;DR
This paper constructs and investigates Ricci-flat metrics associated with the Navier-Stokes equations, providing insights into their geometric properties and potential implications for fluid dynamics analysis.
Contribution
It introduces explicit Ricci-flat metrics linked to Navier-Stokes equations, a novel geometric approach in fluid dynamics research.
Findings
Construction of Ricci-flat metrics for Navier-Stokes
Analysis of their geometric properties
Potential implications for fluid dynamics
Abstract
An examples of the Ricci-flat metric associated with the equations of Navier-Stokes are constructed. Their properties are investigated.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Elasticity and Wave Propagation · Geophysics and Gravity Measurements