Second order scheme for scalar conservation laws with discontinuous flux

2014 ◽  
Vol 80 ◽  
pp. 46-64 ◽  
Author(s):  
Adimurthi ◽  
K Sudarshan Kumar ◽  
G.D. Veerappa Gowda
Keyword(s):  
Conservation Laws ◽  
Second Order ◽  
Scalar Conservation Laws ◽  
Order Scheme ◽  
Discontinuous Flux ◽  
Scalar Conservation

scholarly journals A Bhatnagar–Gross–Krook approximation to scalar conservation laws with discontinuous flux

2010 ◽  
Vol 140 (5) ◽  
pp. 953-972 ◽  
Author(s):  
F. Berthelin ◽  
J. Vovelle
Keyword(s):  
Conservation Laws ◽  
Entropy Solution ◽  
Limit Problem ◽  
Scalar Conservation Laws ◽  
First Order ◽  
The Cauchy Problem ◽  
Discontinuous Flux ◽  
Scalar Conservation ◽  
Bgk Approximation ◽  
Well Posed

AbstractWe study the Bhatnagar–Gross–Krook (BGK) approximation to first-order scalar conservation laws with a flux which is discontinuous in the space variable. We show that the Cauchy problem for the BGK approximation is well posed and that, as the relaxation parameter tends to 0, it converges to the (entropy) solution of the limit problem.

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