ON THE GENERALIZED RIEMANN PROBLEM FOR A 2 × 2 SYSTEM OF BALANCE LAWS

2008 ◽  
Author(s):  
F. CONFORTO ◽  
S. IACONO ◽  
F. OLIVERI
Keyword(s):  
Riemann Problem ◽  
Balance Laws ◽  
Generalized Riemann Problem ◽  
System Of Balance Laws

Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes

2016 ◽  
Vol 315 ◽  
pp. 409-433 ◽  
Author(s):  
Christian Contarino ◽  
Eleuterio F. Toro ◽  
Gino I. Montecinos ◽  
Raul Borsche ◽  
Jochen Kall
Keyword(s):  
Riemann Problem ◽  
Balance Laws ◽  
Generalized Riemann Problem ◽  
Hyperbolic Balance Laws ◽  
Implicit Solver

ENTROPY-BASED MOMENT CLOSURE FOR KINETIC EQUATIONS: RIEMANN PROBLEM AND INVARIANT REGIONS

2006 ◽  
Vol 03 (04) ◽  
pp. 649-671 ◽  
Author(s):  
JEAN-FRANÇOIS COULOMBEL ◽  
THIERRY GOUDON
Keyword(s):  
Kinetic Equation ◽  
Riemann Problem ◽  
Hyperbolic System ◽  
Kinetic Equations ◽  
Moment Closure ◽  
Balance Laws ◽  
Nonlinear Hyperbolic System ◽  
Invariant Regions ◽  
System Of Balance Laws

We study a nonlinear hyperbolic system of balance laws that arises from an entropy-based moment closure of a kinetic equation. We show that the corresponding homogeneous Riemann problem can be solved without smallness assumption, and we exhibit invariant regions.

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