4 papers
Pressure estimates and classifications for steady -solutions to two-dimensional incompressible Euler equations
Changfeng Gui, Qinfeng Li, Chunjing Xie +1
We study two-dimensional steady incompressible Euler flows with finite total curvature. A distinguished family of such flows arises from finite-Morse-index solutions to semilinear…
A selection principle for 2D steady Euler flows via the vanishing viscosity limit
Changfeng Gui, Chunjing Xie, Huan Xu
The 2D Euler system, which governs inviscid incompressible fluid flow, can admit infinitely many steady solutions in a given domain with slip boundary conditions. To select physica…
Least total curvature solutions to steady Euler system and monotone solutions to semilinear equations in a strip
Changfeng Gui, David Ruiz, Chunjing Xie +1
This paper focuses on establishing the existence of a class of steady solutions, termed least total curvature solutions, to the incompressible Euler system in a strip. The solution…
On a classification of steady solutions to two-dimensional Euler equations
Changfeng Gui, Chunjing Xie, Huan Xu
In this paper, we provide a classification of steady solutions to two-dimensional incompressible Euler equations in terms of the set of flow angles. The first main result asserts t…