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math.AP2023★ 3 cited
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…
math.AP2023★ 4 cited
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,…
math.AP2023
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…