TY - GEN
A1 - Kundu, Prabir Kumar
A1 - Mandal, B.N.
A2 - Jurczak, Paweł - red.
PB - Zielona Góra: Uniwersytet Zielonogórski
N2 - A two-dimensional Cauchy Poisson problem for water with a porous bottom generated by an axisymmetric initial surface disturbance is investigated here. The problem is formulated as an initial value problem for the velocity potential describing the motion in the fluid. The Laplace and Hankel transform techniques have been used in the mathematical analysis to obtain the form of the free surface in terms of a multiple infinite integral.
N2 - This integral is then evaluated asymptotically by the method of stationary phase. The asymptotic form of the free surface is depicted graphically in a number of figures for different values of the porosity parameter and for different types of initial disturbances.
L1 - http://www.zbc.uz.zgora.pl/Content/71127/10.2478_ijame-2019-0039.pdf
L2 - http://www.zbc.uz.zgora.pl/Content/71127
KW - axisymmetric surface disturbance
KW - porous bottom
KW - Laplace and Hankel transform
KW - method of stationary phase
KW - free surface depression
T1 - Generation of surface waves due to initial axisymmetric surface disturbance in water with a porous bottom
UR - http://www.zbc.uz.zgora.pl/dlibra/docmetadata?id=71127
ER -