Nous considérons les lois de conservation [hyperboliques] en plusieurs dimensions dʼespace avec la fonction de flux seulement continue. Nous établissons une condition nécessaire et suffisante pour la décroissance des solutions entropiques périodiques de ce problème.
We establish a necessary and sufficient condition for decay of periodic entropy solutions to a multidimensional conservation law with merely continuous flux vector.
Mots-clés : Conservation laws, Periodic entropy solutions, Decay property, H-measures
@article{AIHPC_2013__30_6_997_0, author = {Panov, E.Yu.}, title = {On decay of periodic entropy solutions to a scalar conservation law}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {997--1007}, publisher = {Elsevier}, volume = {30}, number = {6}, year = {2013}, doi = {10.1016/j.anihpc.2012.12.009}, mrnumber = {3132413}, zbl = {1288.35347}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.anihpc.2012.12.009/} }
TY - JOUR AU - Panov, E.Yu. TI - On decay of periodic entropy solutions to a scalar conservation law JO - Annales de l'I.H.P. Analyse non linéaire PY - 2013 SP - 997 EP - 1007 VL - 30 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.anihpc.2012.12.009/ DO - 10.1016/j.anihpc.2012.12.009 LA - en ID - AIHPC_2013__30_6_997_0 ER -
%0 Journal Article %A Panov, E.Yu. %T On decay of periodic entropy solutions to a scalar conservation law %J Annales de l'I.H.P. Analyse non linéaire %D 2013 %P 997-1007 %V 30 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.anihpc.2012.12.009/ %R 10.1016/j.anihpc.2012.12.009 %G en %F AIHPC_2013__30_6_997_0
Panov, E.Yu. On decay of periodic entropy solutions to a scalar conservation law. Annales de l'I.H.P. Analyse non linéaire, Tome 30 (2013) no. 6, pp. 997-1007. doi : 10.1016/j.anihpc.2012.12.009. http://www.numdam.org/articles/10.1016/j.anihpc.2012.12.009/
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