Renormalized solutions of the 2d Euler equations
Gianluca Crippa, Stefano Spirito
TL;DR
This paper proves that solutions to the 2D Euler equations derived through vanishing viscosity are renormalized, providing a rigorous mathematical foundation for their behavior in fluid dynamics.
Contribution
It establishes the renormalization property for 2D Euler solutions obtained via vanishing viscosity approximation, a significant theoretical advancement.
Findings
Solutions are proven to be renormalized
Supports the mathematical consistency of vanishing viscosity methods
Enhances understanding of 2D Euler equations' solutions
Abstract
In this paper we prove that solutions of the 2D Euler equations in vorticity formulation obtained via vanishing viscosity approximation are renormalized.
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Taxonomy
TopicsNavier-Stokes equation solutions · Fluid Dynamics and Turbulent Flows · Computational Fluid Dynamics and Aerodynamics