scholarly journals Global solutions with shock waves to the generalized Riemann problem for a system of hyperbolic conservation laws with linear damping

2007 ◽  
Vol 325 (2) ◽  
pp. 843-865 ◽  
Author(s):  
Zhi-Qiang Shao ◽  
De-Xing Kong ◽  
Ya-Chun Li
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Conservation Laws ◽  
Global Solutions ◽  
Hyperbolic Conservation ◽  
Generalized Riemann Problem ◽  
Linear Damping

Solution of the riemann problem for a prototype 2�2 system of non-strictly hyperbolic conservation laws

1987 ◽  
Vol 97 (4) ◽  
pp. 299-320 ◽  
Author(s):  
M. Shearer ◽  
D. G. Schaeffer ◽  
D. Marchesin ◽  
P. L. Paes-Leme
Keyword(s):  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Conservation Laws ◽  
Hyperbolic Conservation

scholarly journals Symmetries of conservation laws

2005 ◽  
Vol 77 (91) ◽  
pp. 29-51
Author(s):  
Sanja Konjik
Keyword(s):  
Shock Waves ◽  
Conservation Laws ◽  
Gas Dynamics ◽  
Hyperbolic Conservation Laws ◽  
Strong Association ◽  
Group Analysis ◽  
Symmetry Groups ◽  
Dynamics Model ◽  
Hyperbolic Conservation ◽  
Systems Of Conservation Laws

We apply techniques of symmetry group analysis in solving two systems of conservation laws: a model of two strictly hyperbolic conservation laws and a zero pressure gas dynamics model, which both have no global solution, but whose solution consists of singular shock waves. We show that these shock waves are solutions in the sense of 1-strong association. Also, we compute all project able symmetry groups and show that they are 1-strongly associated, hence transform existing solutions in the sense of 1-strong association into other solutions.

Riemann problem for a class of 2 × 2 hyperbolic conservation laws

1996 ◽  
Vol 126 (4) ◽  
pp. 719-724 ◽  
Author(s):  
Changjiang Zhu
Keyword(s):  
Global Existence ◽  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Conservation Laws ◽  
Hyperbolic Conservation

In this paper we prove the global existence of the solutions of the Riemann problem for a class of 2 × 2 hyperbolic conservation laws, which is neither necessarily strictly hyperbolic nor necessarily genuinely nonlinear.

Sign in / Sign up

Export Citation Format

Share Document