- 期刊
WAVES DUE TO INITIAL DISTURBANCES AT THE INERTIAL SURFACE IN A STRATIFIED FLUID OF FINITE DEPTH
摘要
This paper is concerned with a Cauchy-Poisson problem in a weakly stratified ocean of uniform finite depth bounded above by an inertial surface (IS). The inertial surface is composed of a thin but uniform distribution of noninteracting materials. The techniques of Laplace transform in time and either Green's integral theorem or Fourier transform have been utilized in the mathematical analysis to obtain the form of the inertial surface in terms of an integral. The asymptotic behaviour of the inertial surface is obtained for large time and distance and displayed graphically. The effect of stratification is discussed.
延伸閱讀
- Yang, R. Y., & Hwung, H. H. (2012). Combination Mode of Internal Waves Generated by Surface Wave Propagating over Two Muddy Sea Beds. Advances in Mathematical Physics, 2012(), 46-54. https://doi.org/10.1155/2012/183503
- MANDAL, B., & KUNDU, P. (1989). TRANSMISSION OF OBLIQUELY INCIDENT SURFACE WAVES THROUGH A NARROW GAP. International Journal of Mathematics and Mathematical Sciences, 1989(), 741-748. https://doi.org/10.1155/S016117128900092X
- MANDAL, B., & GHOSH, N. (1990). GENERATIONS OF WAVES AT AN INERTIAL SURFACE DUE TO EXPLOSIONS. International Journal of Mathematics and Mathematical Sciences, 1990(), 599-606. https://doi.org/10.1155/S0161171290000837
- GORGUI, M. A., & FALTAS, M. S. (1986). BASIC SINGULARITIES IN THE THEORY OF INTERNAL WAVES WITH SURFACE TENSION. International Journal of Mathematics and Mathematical Sciences, 1986(), 145-159. https://doi.org/10.1155/S0161171286000182
- Fu, S. C. (2001). On the spreading of viscous dense liquid under surface waves [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200004751