Cauchy-Poisson Problem for a Two-layer Fluid with an Inertial Surface

作     者：Harpreet Dhillon B. N. Mandal 

作者机构：Department of Mathematics Jadavpur University Kolkata 700032 lndia NASI Senior Scientist Physics and Applied Mathematics Unit Indian Statistical Institute Kolkata 700108 India 

出 版 物：《Journal of Marine Science and Application》 (船舶与海洋工程学报（英文版）)

年 卷 期：2013年第12卷第1期

页      面：21-30页

学科分类：07[理学] 0707[理学-海洋科学] 082304[工学-载运工具运用工程] 08[工学] 0815[工学-水利工程] 070104[理学-应用数学] 0824[工学-船舶与海洋工程] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0823[工学-交通运输工程] 

基　　金：Supported by the DST Research Project No.SR/SY/MS:521/08and CSIR New Delhi 

主　　题：two layer fluid inertial surface initial disturbances stationary phase inertial surface depression interface depression 

摘      要：This paper is concerned with the generation of waves due to initial disturbances at the upper surface of a two-layer fluid, as the upper layer is covered by an inertial surface and the lower layer extends infinitely downwards. The inertial surface is composed of thin but uniform distribution of non-interacting material. In the mathematical analysis, the Fourier and Laplace transform techniques have been utilized to obtain the depressions of the inertial surface and the interface in the form of infinite integrals. For initial disturbances concentrated at a point, the inertial surface depression and the interface depression are evaluated asymptotically for large time and distance by using the method of stationary phase. They are also depicted graphically for two types of initial disturbances and appropriate conclusions are made.