Large-Time Behavior of Entropy Solutions to Scalar Conservation Laws on Bounded Domain

2008 ◽  
pp. 1069-1076
Author(s):  
J. Vovelle ◽  
S. Martin
Keyword(s):  
Conservation Laws ◽  
Bounded Domain ◽  
Large Time ◽  
Large Time Behavior ◽  
Entropy Solutions ◽  
Time Behavior ◽  
Scalar Conservation Laws ◽  
Scalar Conservation

LARGE TIME BEHAVIOR OF NUMERICAL SOLUTIONS OF SCALAR CONSERVATION LAWS

2006 ◽  
Vol 03 (04) ◽  
pp. 631-648
Author(s):  
FRÉDÉRIC LAGOUTIÈRE
Keyword(s):  
Conservation Laws ◽  
Hyperbolic Conservation Laws ◽  
Large Time ◽  
Numerical Solutions ◽  
Approximate Solutions ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Hyperbolic Conservation ◽  
Periodic Initial Data ◽  
Scalar Conservation

We study the large time behavior of entropic approximate solutions to one-dimensional, hyperbolic conservation laws with periodic initial data. Under mild assumptions on the numerical scheme, we prove the asymptotic convergence of the discrete solutions to a time- and space-periodic solution.

scholarly journals Regularity and Lyapunov Stabilization of Weak Entropy Solutions to Scalar Conservation Laws

2017 ◽  
Vol 62 (4) ◽  
pp. 1620-1635 ◽  
Author(s):  
Sebastien Blandin ◽  
Xavier Litrico ◽  
Maria Laura Delle Monache ◽  
Benedetto Piccoli ◽  
Alexandre Bayen
Keyword(s):  
Conservation Laws ◽  
Entropy Solutions ◽  
Scalar Conservation Laws ◽  
Lyapunov Stabilization ◽  
Scalar Conservation
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