1991 ◽  
pp. 27-32 ◽  
Author(s):  
Emad Fatemi ◽  
Carl L. Gardner ◽  
Joseph W. Jerome ◽  
Stanley Osher ◽  
Donald J. Rose

1989 ◽  
Vol 49 (1) ◽  
pp. 165-185 ◽  
Author(s):  
U. Ascher ◽  
P. A. Markowich ◽  
C. Schmeiser ◽  
H. Steinrück ◽  
R. Weiss

2014 ◽  
Vol 763 ◽  
pp. 1-23 ◽  
Author(s):  
Z. Liu ◽  
D. L. Xu ◽  
J. Li ◽  
T. Peng ◽  
A. Alsaedi ◽  
...  

AbstractThis paper describes an experimental investigation of steady-state resonant waves. Several co-propagating short-crested wave trains are generated in a basin at the State Key Laboratory of Ocean Engineering (SKLOE) in Shanghai, and the wavefields are measured and analysed both along and normal to the direction of propagation. These steady-state resonant waves are first calculated theoretically under the exact resonance criterion with sufficiently high nonlinearity, and then are generated in the basin by means of the main wave components that contain at least 95 % of the wave energy. The steady-state wave spectra are quantitatively observed within the inherent system error of the basin and identified by means of a contrasting experiment. Both symmetrical and anti-symmetrical steady-state resonant waves are observed and the experimental and theoretical results show excellent agreement. These results offer the first experimental evidence of the existence of steady-state resonant waves with multiple solutions.


Author(s):  
U. ASCHER ◽  
P.A. MARKOWICH ◽  
C. SCHMEISER ◽  
H. STEINRÜCK ◽  
R. WEISS

1991 ◽  
Vol 113 (1) ◽  
pp. 5-11 ◽  
Author(s):  
A. Lippke

This paper is concerned with the numerical and analytical evaluation of multiple solutions of the steady-state radial temperature distribution in a solid m-dimensional sphere, which is caused by nonlinear heat generation. To achieve highly accurate solutions a Sinc function approximation of the differential operator is introduced.


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