HAMILTONIAN DESCRIPTION OF NONLINEAR PROCESSES IN INCOMPRESSIBLE LIQUIDS WITH A FREE-BOUNDARY

被引：5
|
作者：
KHALATNIKOV, IM
POKROVSKY, VL
机构：
[1] L.D. Landau Institute for Theoretical Physics, USSR Academy of Sciences, 117940 GSP-1 Moscow
来源：
PHYSICA A | 1990年 / 166卷 / 02期
关键词：
D O I：
10.1016/0378-4371(90)90017-M
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We propose the Hamiltonian approach to the hydrodynamics of a compressible liquid with a free boundary based on perturbation theory and analytical continuation. Amplitudes of the bulk and surface waves play the role of canonical variables. We argue that there exist no local canonical variables. For a simplified model of a barotropic liquid we have found the decay amplitude of the bulk sound into two surface waves and the amplitude of the Cherenkov radiation of a surface wave generated by the bulk sound. © 1990.
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页码：288 / 304
页数：17
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