On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6, pp. 1069-1071
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An upper bound on the distance between the centers of two successive traveling waves occurring in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation is established under generic conditions. Taking into account a previously established lower bound, an asymptotically sharper estimate is derived.
@article{ZVMMF_2012_52_6_a11,
author = {A. V. Gasnikov},
title = {On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the {Cauchy} problem for a {Burgers-type} equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1069--1071},
publisher = {mathdoc},
volume = {52},
number = {6},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_6_a11/}
}
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A. V. Gasnikov. On the velocity of separation between two successive traveling waves in the asymptotics of the solution to the Cauchy problem for a Burgers-type equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 6, pp. 1069-1071. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_6_a11/