On the Stability of Solitary Water Waves with a Point Vortex
On the Stability of Solitary Water Waves with a Point Vortex
This paper investigates the stability of traveling wave solutions to the free boundary Euler equations with a submerged point vortex. We prove that sufficiently smallāamplitude waves with small enough vortex strength are conditionally orbitally stable. In the process of obtaining this result, we develop a quite general stability/instability theory for ā¦