New Conserved Quantities of the Incompressible Euler Equations
Zhen Lei
TL;DR
This paper introduces two new conserved quantities for the 3D incompressible Euler equations, linking them to topological degree, although they are related to previously known concepts.
Contribution
It presents two conserved quantities connected to topological degree, offering new insights into the structure of the Euler equations.
Findings
Identification of two conserved quantities
Connection to topological degree
Potential implications for fluid dynamics theory
Abstract
We show two new conserved quantities for the three-dimensional incompressible Euler equations. Due to professor Lin's comments, these quantities are deeply related to the concept of topological degree and not new. I will post a new version soon.
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Taxonomy
TopicsNavier-Stokes equation solutions · Advanced Mathematical Physics Problems · Geometric Analysis and Curvature Flows