A Geometric analysis of the Navier-Stokes Equations
Roy Burson
TL;DR
This paper provides a geometric perspective on the Navier-Stokes equations, analyzing their properties and solutions without considering gravitational effects.
Contribution
It introduces a novel geometric framework for understanding the Navier-Stokes equations in the absence of gravity.
Findings
Identifies geometric structures underlying the equations
Provides insights into solution behaviors without gravity
Suggests new analytical approaches for fluid dynamics
Abstract
In this work we study the Naiver-Stokes equations under the presence of no gravitational forces.
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Taxonomy
TopicsNavier-Stokes equation solutions · Nonlinear Partial Differential Equations · Geometric Analysis and Curvature Flows