Integral of the Euler Equations for 3D Motion of a Compressible Medium

Author(s):  
A. V. Koptev
2021 ◽  
Vol 18 (03) ◽  
pp. 761-787
Author(s):  
Tai-Ping Liu

Shock waves of arbitrary strength in the Euler equations for compressible media are studied. The admissibility condition for a shock wave is shown to be equivalent to its formation according to the entropy production criterion. The Riemann problem with large data has a unique admissible solutions. These quantitative results are based on the exact global expressions for the basic physical variables as the states move along the Hugoniot and wave curves.


Author(s):  
Jonathan Kenneth Sinclair ◽  
Lindsay Bottoms

AbstractRecent epidemiological analyses in fencing have shown that injuries and pain linked specifically to fencing training/competition were evident in 92.8% of fencers. Specifically the prevalence of Achilles tendon pathology has increased substantially in recent years, and males have been identified as being at greater risk of Achilles tendon injury compared to their female counterparts. This study aimed to examine gender differences in Achilles tendon loading during the fencing lunge.Achilles tendon load was obtained from eight male and eight female club level epee fencers using a 3D motion capture system and force platform information as they completed simulated lunges. Independent t-tests were performed on the data to determine whether differences existed.The results show that males were associated with significantly greater Achilles tendon loading rates in comparison to females.This suggests that male fencers may be at greater risk from Achilles tendon pathology as a function of fencing training/ competition.


AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 912-918
Author(s):  
M. E. Hayder ◽  
Fang Q. Hu ◽  
M. Y. Hussaini

1987 ◽  
Author(s):  
N. YU ◽  
K. KUSUNOSE ◽  
H. CHEN ◽  
D. SOMMERFIELD

1989 ◽  
Author(s):  
N. KROLL ◽  
C. ROSSOW ◽  
S. SCHERR ◽  
J. SCHOENE ◽  
G. WICHMANN

1989 ◽  
Author(s):  
SEUNGSOO LEE ◽  
GEORGE DULIKRAVICH ◽  
DANIEL DORNEY

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