TY - JOUR
T1 - Three-dimensional time-dependent water flows with constant non-vanishing vorticity and depth dependent density
AU - Geyer, Anna
AU - Martin, Calin I.
PY - 2025
Y1 - 2025
N2 - 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.
AB - 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.
KW - Continuous depth-dependent stratification
KW - Three-dimensional water wave equations
KW - Vorticity
UR - http://www.scopus.com/inward/record.url?scp=85215402771&partnerID=8YFLogxK
U2 - 10.1016/j.physd.2025.134523
DO - 10.1016/j.physd.2025.134523
M3 - Article
AN - SCOPUS:85215402771
SN - 0167-2789
VL - 472
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
M1 - 134523
ER -