scholarly journals Asymptotic dynamics of a system of conservation laws from chemotaxis

2021 ◽  
Vol 41 (2) ◽  
pp. 813-847
Author(s):  
Neng Zhu ◽  
◽  
Zhengrong Liu ◽  
Fang Wang ◽  
Kun Zhao ◽  
...  
Keyword(s):  
Conservation Laws ◽  
System Of Conservation Laws ◽  
Asymptotic Dynamics

A difference scheme for a stiff system of conservation laws

1998 ◽  
Vol 128 (6) ◽  
pp. 1403-1414 ◽  
Author(s):  
Wen-An Yong
Keyword(s):  
Relaxation Time ◽  
Difference Scheme ◽  
Conservation Laws ◽  
Difference Method ◽  
Initial Value Problems ◽  
Equilibrium System ◽  
Initial Value ◽  
Stiff System ◽  
System Of Conservation Laws ◽  
Entropy Satisfying

A stiff system of conservation laws is analysed using a difference method. The existence of entropy-satisfying BV-solutions to the initial value problems is established. Furthermore, we show that the solutions converge to the solutions of the corresponding equilibrium system as the relaxation time tends to zero.

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