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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.AP2025★ 2 cited
Asymptotic solution for three-dimensional reaction-diffusion-advection equation with periodic boundary conditions
Aleksei Liubavin, Mingkang Ni, Ye Zhang +1
In this study, we investigate the dynamics of moving fronts in three-dimensional spaces, which form as a result of in-situ combustion during oil production. This phenomenon is also…