60 citations · 105 across the 33 of their papers we have counts for
4 papers · 2 filters
The steady Euler-Poisson system and accelerating flows with transonic -transitions
Myoungjean Bae, Ben Duan, Chunjing Xie
In this paper, we prove the existence of two-dimensional solutions to the steady Euler-Poisson system with continuous transonic transitions across sonic interfaces of codimension 1…
Rigidity of Steady Solutions to the Navier-Stokes Equations in High Dimensions and its applications
Jeaheang Bang, Changfeng Gui, Hao Liu +2
Solutions with scaling-invariant bounds such as self-similar solutions, play an important role in the understanding of the regularity and asymptotic structures of solutions to the…
Uniqueness and uniform structural stability of Poiseuille flows with large fluxes in two-dimensional strips
Kaijian Sha, Yun Wang, Chunjing Xie
In this paper, we prove the uniform nonlinear structural stability of Poiseuille flows with suitably large flux for the steady Navier-Stokes system in a two-dimensional strip with…
On the characterization, existence and uniqueness of steady solutions to the hydrostatic Euler equations in a nozzle
Wang Shing Leung, Tak Kwong Wong, Chunjing Xie
Incompressible Euler flows in narrow domains, in which the horizontal length scale is much larger than other scales, play an important role in applications, and their leading-order…