Convergence of Path-Conservative Numerical Schemes for Hyperbolic Systems of Balance Laws

2010 ◽  
pp. 675-682 ◽  
Author(s):  
M. L. Muñoz-Ruiz ◽  
C. Parés ◽  
M. J. Castro Díaz
Keyword(s):  
Hyperbolic Systems ◽  
Balance Laws ◽  
Numerical Schemes ◽  
Systems Of Balance Laws

ONE-SIDED ESTIMATES AND UNIQUENESS FOR HYPERBOLIC SYSTEMS OF BALANCE LAWS

2003 ◽  
Vol 13 (04) ◽  
pp. 527-543 ◽  
Author(s):  
PAOLA GOATIN
Keyword(s):  
Hyperbolic Systems ◽  
Decay Estimates ◽  
Balance Laws ◽  
Uniqueness Of Solutions ◽  
Local Oscillation ◽  
Systems Of Balance Laws

Uniqueness of solutions of genuinely nonlinear n × n strictly hyperbolic systems of balance laws is established moving from Oleïnik-type decay estimates. As middle step, the result relies on the fulfillment of a condition which controls the local oscillation of the solution in a forward neighborhood of each point in the t–x plane.

Global BV Entropy Solutions and Uniqueness for Hyperbolic Systems of Balance Laws

2002 ◽  
Vol 162 (4) ◽  
pp. 327-366 ◽  
Author(s):  
Debora Amadori ◽  
Laurent Gosse ◽  
Graziano Guerra
Keyword(s):  
Hyperbolic Systems ◽  
Entropy Solutions ◽  
Balance Laws ◽  
Systems Of Balance Laws
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