Determination of the dynamic compressibility of soil based on the parameters of plane detonation waves

1974 ◽  
Vol 13 (1) ◽  
pp. 126-130
Author(s):  
S. D. Zakharov ◽  
G. M. Lyakhov ◽  
S. D. Mizyakin
2011 ◽  
Vol 47 (5) ◽  
pp. 601-605 ◽  
Author(s):  
A. V. Fedorov ◽  
A. L. Mikhailov ◽  
L. K. Antonyuk ◽  
D. V. Nazarov ◽  
S. A. Finyushin

1960 ◽  
Vol 3 (5) ◽  
pp. 706 ◽  
Author(s):  
T. C. Adamson

Author(s):  
B. Barker ◽  
J. Humpherys ◽  
G. Lyng ◽  
J. Lytle

In recent years, the Evans function has become an important tool for the determination of stability of travelling waves. This function, a Wronskian of decaying solutions of the eigenvalue equation, is useful both analytically and computationally for the spectral analysis of the linearized operator about the wave. In particular, Evans-function computation allows one to locate any unstable eigenvalues of the linear operator (if they exist); this allows one to establish spectral stability of a given wave and identify bifurcation points (loss of stability) as model parameters vary. In this paper, we review computational aspects of the Evans function and apply it to multidimensional detonation waves. This article is part of the theme issue ‘Stability of nonlinear waves and patterns and related topics’.


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