3 papers
math.AP2025
Steady vortex patches on flat torus with a constant background vorticity
Takashi Sakajo, Changjun Zou
We construct a series of vortex patch solutions in a doubly-periodic rectangular domain (flat torus), which is accomplished by studying the contour dynamic equation for patch bound…
math.AP2024
type regularization for point vortices on
Takashi Sakajo, Changjun Zou
We construct a series of classic vorticity solutions for incompressible Euler equation on , which constitute the type regularization for a general traveling poin…
math.AP2024
Regularization for point vortices on
Takashi Sakajo, Changjun Zou
We construct a series of patch type solutions for incompressible Euler equation on , which constitutes the regularization for steady or traveling point vortex systems.…