Multidimensional nonlinear systems of conservation laws

2013 ◽  
Vol 43 (4) ◽  
pp. 317-332 ◽  
Author(s):  
ShuXing CHEN
Keyword(s):  
Nonlinear Systems ◽  
Conservation Laws ◽  
Systems Of Conservation Laws

Generalised characteristics in hyperbolic systems of conservation laws with special coupling

1990 ◽  
Vol 116 (3-4) ◽  
pp. 245-278 ◽  
Author(s):  
C. M. Dafermos ◽  
X. Geng
Keyword(s):  
Nonlinear Systems ◽  
Conservation Laws ◽  
Rarefaction Wave ◽  
Hyperbolic Systems ◽  
A Priori ◽  
Systems Of Conservation Laws ◽  
Straight Lines

SynopsisUsing the theory of generalised characteristics, we study the structure of BV solutions of genuinely nonlinear systems of two conservation laws whose shock and rarefaction wave curves of the first family are straight lines. We also establish a priori estimates on the variation of the solution similar to those obtained earlier by Glimm and Lax.

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