2D Euler equation on the strip: stability of a rectangular patch
J. Beichman, S. Denisov
TL;DR
This paper proves the stability of a rectangular stationary solution for the 2D Euler equations describing incompressible fluid flow on a strip, advancing understanding of fluid stability in constrained geometries.
Contribution
It establishes the stability of a rectangular patch solution for the 2D Euler equations on a strip, a novel result in fluid dynamics stability analysis.
Findings
Rectangular patch remains stable under 2D Euler dynamics on a strip.
Provides rigorous proof of stability for a specific stationary state.
Enhances understanding of fluid behavior in constrained geometries.
Abstract
We consider the 2D Euler equation of incompressible fluids on a strip and prove the stability of the rectangular stationary state.
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Taxonomy
TopicsNavier-Stokes equation solutions · Fluid Dynamics and Turbulent Flows · Computational Fluid Dynamics and Aerodynamics