3 papers
math.AP2025
Helically symmetric solution of 3D Euler equations with vorticity and its free boundary
Lili Du, Feng Ji
This paper investigates an incompressible steady free boundary problem of Euler equations with helical symmetry in dimensions and with nontrivial vorticity. The velocity field…
math.AP2025
Singular and regular analysis for the free boundaries of two-phase inviscid fluids in gravity field
Lili Du, Feng Ji
In this paper, we consider a free boundary problem of two-phase inviscid incompressible fluid in gravity field. The presence of the gravity field induces novel phenomena that there…
math.AP2024
Regularity of the free boundaries for the two-phase axisymmetric inviscid fluid
Lili Du, Feng Ji
In the seminal paper (Alt, Caffarelli and Friedman, Trans. Amer. Math. Soc., 282, (1984).), the regularity of the free boundary of two-phase fluid in two dimensions via the so-call…