Dynamics of Ideal Fluid Flows
Tarek M. Elgindi
TL;DR
This paper explores the mathematical properties and behaviors of ideal fluid flows governed by the incompressible Euler equations, including solutions, singularities, and asymptotic dynamics.
Contribution
It provides a comprehensive analysis of the Euler equations focusing on existence, singularity formation, and asymptotic behavior of solutions.
Findings
Analysis of solution existence and uniqueness
Insights into singularity formation mechanisms
Asymptotic behavior of fluid flows
Abstract
We will discuss various aspects of the incompressible Euler equation. We will discuss, in particular, problems related to the least action principle, the existence of special solutions, the problem of solvability, singularity formation, and asymptotic behavior.
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Taxonomy
TopicsNavier-Stokes equation solutions · Fluid dynamics and aerodynamics studies · Stability and Controllability of Differential Equations