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math.AP2026
Global bifurcation of water-wave fronts generated by surface pressure
Jifeng Chu, Zihao Wang, Yong Zhang
We study two-dimensional steady gravity water waves with general vorticity in a homogeneous, inviscid fluid of finite depth, subject to a surface pressure that tends to distinct co…
math-ph2026
Optimal bounds for embedded eigenvalues of one-dimensional discrete Schrödinger operators with decaying potentials
Jifeng Chu, Wencai Liu, Kang Lyu
In this paper, we consider one-dimensional discrete Schrödinger operators \begin{align} Hu(n)=(Δ+V)u(n)\nonumber \end{align} on with a self-adjoint boundary co…
math.AP2026
Large-Amplitude Steady Solitary Water Waves with General Vorticity
Jifeng Chu, Zihao Wang, Yong Zhang
We study two-dimensional steady solitary gravity water waves with general vorticity, allowing for overhanging free-surface profiles. The main challenges arise from the free boundar…