2 papers
math.AP2026
Existence of pure capillary solitary waves in constant vorticity flows
Ting-Yang Hsiao, Zhengjun Liang, Giang To +1
We prove that the finite-depth pure-capillary rigidity mechanism in the irrotational water-wave problem is destroyed by a suitable constant-vorticity critical shear. More precisely…
math.AP2026
Global well-posedness for the Hele-Shaw problem with point injection
Zhengjun Liang
We study the two-dimensional Hele-Shaw problem with point injection for star-shaped domains. We reduce the system to a nonlocal parabolic equation of the interface, and for arbitra…