Existence of Kinetic Theory Solutions to the Shock Structure Problem

1964 ◽  
Vol 7 (6) ◽  
pp. 911 ◽  
Author(s):  
Lowell H. Holway
Keyword(s):  
Kinetic Theory ◽  
Shock Structure ◽  
Structure Problem

scholarly journals A variational approach to the shock structure problem

2005 ◽  
Vol 32 (1) ◽  
pp. 39-63
Author(s):  
Srboljub Simic
Keyword(s):  
Variational Approach ◽  
Least Squares Method ◽  
Direct Method ◽  
General Procedure ◽  
Ritz Method ◽  
Shock Structure ◽  
Approximate Analytical Solutions ◽  
Variational Form ◽  
Structure Problem ◽  
Shock Thickness

A variational approach to the shock structure problem is proposed. The set of governing equations, consisted of n first-order ordinary differential equations accompanied with 2n boundary conditions at ??, is put into variational form by means of least-squares method. The corresponding variational principle is adjusted for application of Ritz method. This direct method is used for construction of approximate analytical solutions to the shock structure problem and derivation of the estimates for the shock thickness. General procedure is applied to the study of Burgers' equation and equations of gas dynamics.

scholarly journals Theoretical and experimental aspects of the shock structure problem

1966 ◽  
pp. 973-979 ◽  
Author(s):  
H. W. Liepmann ◽  
R. Narasimha ◽  
M. Chahine
Keyword(s):  
Shock Structure ◽  
Structure Problem

Kinetic models and the shock structure problem

1975 ◽  
Vol 8 (4) ◽  
pp. 620-625 ◽  
Author(s):  
V. I. Zhuk ◽  
V. A. Rykov ◽  
E. M. Shakhov
Keyword(s):  
Kinetic Models ◽  
Shock Structure ◽  
Structure Problem
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