The Riemann problem with delta initial data for a class of coupled hyperbolic systems of conservation laws

2007 ◽  
Vol 67 (11) ◽  
pp. 3041-3049 ◽  
Author(s):  
Hanchun Yang ◽  
Wenhua Sun
Keyword(s):  
Initial Data ◽  
Conservation Laws ◽  
Riemann Problem ◽  
Hyperbolic Systems ◽  
Systems Of Conservation Laws

A BOUNDED VARIATION ESTIMATE FOR THE FORCE SCHEME APPLIED TO STRICTLY HYPERBOLIC SYSTEMS OF CONSERVATION LAWS IN THE TEMPLE CLASS

2013 ◽  
Vol 10 (01) ◽  
pp. 105-127
Author(s):  
RAJIB DUTTA
Keyword(s):  
Probability Theory ◽  
Initial Data ◽  
Conservation Laws ◽  
Random Walks ◽  
Total Variation ◽  
Bounded Variation ◽  
Hyperbolic Systems ◽  
Godunov Scheme ◽  
Systems Of Conservation Laws ◽  
The Temple

Bressan and Jenssen established a uniform bounded variation (BV) estimate for the Godunov scheme for Temple-type strictly hyperbolic systems of conservation laws and gave a proof based on the probability theory of random walks. In this paper, we provide a different proof which is simpler and does not use any probability theory. Applying our theory, we establish a uniform BV estimate for the Force scheme for the same class of hyperbolic systems, under the assumption of small total variation of initial data.

Sign in / Sign up

Export Citation Format

Share Document