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math.AP2026
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…
math.AP2026
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…
math.AP2026
The singularity at degenerate points in steady axisymmetric compressible free surface flows with gravity
Lili Du, Chunlei Yang
In this paper, we analyze the singular shape of the free boundary at degenerate points in a three dimensional axisymmetric compressible gravity flow. For all possible degenerate po…