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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…
math.AP2024
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…
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…