3 papers
math.AP2026
Flexibility and rigidity of steady states of the two-dimensional Euler equations in an infinite channel
Yupei Huang, Chunjing Xie, Chilin Zhang
We study steady solutions to the two-dimensional incompressible Euler equations in an infinite channel, whose far-field limits are uniformly non-stagnant shear flows. In the smooth…
math.AP2025
Classical solutions to a mixed-type PDE with a Keldysh-type degeneracy and accelerating transonic solutions to the Euler-Poisson system
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we first prove the existence of classical solutions to a class of Keldysh-type equations. Next, we apply this existence result to prove the structural stability of o…
math.AP2024
A Classification Theorem for Steady Euler Flows
Tarek M. Elgindi, Yupei Huang, Ayman R. Said +1
Fix a bounded, analytic, and simply connected domain We show that all analytic steady states of the Euler equations with stream function are either radi…