摘要:

Periodic waves at the interface between two inviscid fluids of differing densities are considered from a geometric point of view. A new Hamiltonian formulation is used in the analysis and restriction of the Hamiltonian structure to space‐periodic functions leads to anO‐invariant Hamiltonian system. Motivated by the simplestO‐invariant Hamiltonian system, the spherical pendulum, we analyze the properties of traveling waves, standing waves, interactions between standing and traveling waves (mixed waves) and time‐modulated spatially periodic waves. A singularity in the bifurcation of traveling waves leads to a nonlinear resonance and this is investigated nume

ISSN:0022-2526    

DOI:10.1002/sapm199493293

年代:1994

数据来源: WILEY

摘要:

In this article we give a sense to the distributional Hankel transform of Marcel Riesz's ultrahyperbolic kernel.First we evaluateRα(u) inα= −2kandα= 2kfor the casesμeven andνodd,μeven andνeven, andμodd andνodd,μodd andνeven, whereandFinally in Section 4 we obtain the distributional Hankel transform of Marcel Riesz's ultrahyper

ISSN:0022-2526    

DOI:10.1002/sapm1994932133

年代:1994

数据来源: WILEY

摘要:

In this paper we employ our previously formulated constitutive relations for an elastic heat conductor to examine the nonlinear influence of the temperature on the propagation of second sound. Utilizing the method of geometric optics we ascertain that large values of second sound travel more slowly than do smaller ones. As well, numerical results for a signaling problem are displayed graphically in order to highlight the qualitative properties of the temperature and strain waves. The choice of signaling data was motivated by experimental studies.

ISSN:0022-2526    

DOI:10.1002/sapm1994932163

年代:1994

数据来源: WILEY