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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…
math.AP2024
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…