Existence and amplitude bounds for irrotational water waves in finite depth.
关键词: Flux 、 Hydraulic head 、 Mathematics 、 Wavenumber 、 Upper and lower bounds 、 Conservative vector field 、 Banach space 、 Mathematical analysis 、 Nonlinear system 、 Amplitude
摘要: We prove the existence of solutions to irrotational water-wave problem in finite depth and derive an explicit upper bound on amplitude nonlinear terms wavenumber, total hydraulic head, wave speed relative mass flux. Our approach relies upon a reformulation as one-dimensional pseudo-differential equation Newton–Kantorovich iteration for Banach spaces. This article is part theme issue ‘Nonlinear water waves’.
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