학술논문
Simple two-layer dispersive models in the Hamiltonian reduction formalism.
Document Type
Journal
Author
Camassa, R. (1-NC) AMS Author Profile; Falqui, G. (I-MILB-AM) AMS Author Profile; Ortenzi, G. (I-MILB-AM) AMS Author Profile; Pedroni, M. (I-BERG2-GIP) AMS Author Profile; Vu Ho, T. T. (1-NC) AMS Author Profile
Source
Subject
35 Partial differential equations -- 35Q Equations of mathematical physics and other areas of application
35Q35PDEs in connection with fluid mechanics
76Fluid mechanics -- 76M Basic methods in fluid mechanics
76M45Asymptotic methods, singular perturbations
35Q35
76
76M45
Language
English
Abstract
Several asymptotic models of internal wave propagation in density stratified fluids in two-dimensional domains are derived in this paper. A Hamiltonian reduction approach is defined, studied and used to achieve this. In particular, devising an asymptotic extension of Dirac's theory of Hamiltonian constraints leads to the completely integrable evolution equations previously considered in the literature as the limiting forms of the dynamics of stratified fluids.