Three-dimensional time-dependent water flows with constant non-vanishing vorticity and depth dependent density

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-02-01 DOI:10.1016/j.physd.2025.134523

Anna Geyer , Calin I. Martin

引用次数: 0

Abstract

We show that the movement of a time-dependent gravity water flow with constant non-zero vorticity and continuously depth dependent density satisfying the three-dimensional water wave equations is essentially two-dimensional: the velocity field, the pressure and the free surface do not change in the direction orthogonal to the direction of propagation. Our result is true both for the inviscid as well as for the viscous water wave problem.

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来源期刊

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.