4 citations · 7 across the 10 of their papers we have counts for
11 papers · 1 filter
A minimization problem for a cooperative system with a degenerate Bernoulli weight
Lili Du, Chunlei Yang, Jing Yang
In this paper, we study local minimizers of the energy functional which give rise to a singular coope…
Full-Density Degenerate Stagnation Points for Water Waves with General Vorticity
Lili Du, Chunlei Yang
In this paper, we revisit the singular asymptotics of the free surface near stagnation points for two-dimensional traveling gravity water waves with vorticity. We prove the nonexis…
Geometric structure of singular free boundary points for the logarithmic obstacle problem
Lili Du, Xu Tang, Yi Zhou
In the previous work [Interfaces Free Bound., 19, 351--369, 2017], de Queiroz and Shahgholian established the optimal regularity of solutions for the ob…
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…
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…
Proof of the Stokes conjecture for compressible gravity water waves
Lili Du, Chunlei Yang
In 1880, Stokes examined an incompressible irrotational periodic traveling water wave under the influence of gravity and conjectured the existence of an extreme wave with a corner…
Singular profile of free boundary of incompressible inviscid fluid with external force
Lili Du, Yang Pu, Jing Yang
This article is devoted to investigate the singular profile of the free boundary of two-dimensional incompressible inviscid fluid with external force near the stagnation point. Mor…
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…
The free boundary for a semilinear non-homogeneous Bernoulli problem
Lili Du, Chunlei Yang
In the classical homogeneous one-phase Bernoulli-type problem, the free boundary consists of a "regular" part and a "singular" part, as Alt and Caffarelli have shown in their pione…
The free boundary of steady axisymmetric inviscid flow with vorticity II: near the non-degenerate points
Lili Du, Chunlei Yang
This is the sequel of the recent work (Du, Huang, Pu, Commun. Math. Phys, 2023, doi: 10.1007/s00220-023-04651-7) on axially symmetric gravity water waves with general vorticities,…
The non-existence of horizontally flat singularity for steady axisymmetric free surface flows near stagnation points
Lili Du, Chunlei Yang
In a recent research on degenerate points of steady axisymmetric gravity flows with general vorticity, it has been shown that the possible asymptotics near any stagnation point mus…