An application of compensated compactness method to a system of balance laws

2017 ◽  
Vol 11 (12) ◽  
pp. 747-758
Author(s):  
Juan C. Hernandez ◽  
Hernan Garzon ◽  
Cesar Gomez
Keyword(s):  
Compensated Compactness ◽  
Balance Laws ◽  
Compactness Method ◽  
System Of Balance Laws

On application of kinetic formulation of the Le Roux system

2009 ◽  
Vol 52 (1) ◽  
pp. 263-272 ◽  
Author(s):  
Zhixin Cheng
Keyword(s):  
New Method ◽  
Entropy Solutions ◽  
Young Measures ◽  
Compensated Compactness ◽  
Kinetic Formulation ◽  
Compactness Method ◽  
Basic Ideas

AbstractWe use the compensated compactness method coupled with some basic ideas of kinetic formulation developed by Lions, Perthame, Souganidis and Tadmor to give a refined proof for the existence of global bounded entropy solutions to the Le Roux system. This new method of the reduction of Young measures can be applied to solve other problems.

Einstein's evolution equations as a system of balance laws

1989 ◽  
Vol 40 (4) ◽  
pp. 1022-1026 ◽  
Author(s):  
C. Bona ◽  
J. Massó
Keyword(s):  
Evolution Equations ◽  
Balance Laws ◽  
System Of Balance Laws

Lie group analysis and Riemann problems for a 2×2 system of balance laws

2012 ◽  
Vol 51 ◽  
pp. 128-143 ◽  
Author(s):  
Fiammetta Conforto ◽  
Salvatore Iacono ◽  
Francesco Oliveri ◽  
Cecilia Spinelli
Keyword(s):  
Lie Group ◽  
Group Analysis ◽  
Balance Laws ◽  
Lie Group Analysis ◽  
Riemann Problems ◽  
System Of Balance Laws

scholarly journals Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws

2019 ◽  
Vol 12 (4) ◽  
pp. 923-944
Author(s):  
Kenta Nakamura ◽  
◽  
Tohru Nakamura ◽  
Shuichi Kawashima ◽  
◽  
...  
Keyword(s):  
Asymptotic Stability ◽  
Hyperbolic System ◽  
Balance Laws ◽  
Rarefaction Waves ◽  
System Of Balance Laws
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