Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
 RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
 General information Latest issue Archive Impact factor Search papers Search references RSS Latest issue Current issues Archive issues What is RSS

 Zh. Vychisl. Mat. Mat. Fiz.: Year: Volume: Issue: Page: Find

 Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 6, Pages 1069–1071 (Mi zvmmf9624)

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

A. V. Gasnikov

Moscow Institute of Physics and Technology

Abstract: 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.

Key words: Burgers-type equation, asymptotics, phase shift

Full text: PDF file (169 kB)
References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2012, 52:6, 937–939

Bibliographic databases:

UDC: 519.634

Citation: 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”, Zh. Vychisl. Mat. Mat. Fiz., 52:6 (2012), 1069–1071; Comput. Math. Math. Phys., 52:6 (2012), 937–939

Citation in format AMSBIB
\Bibitem{Gas12} \by A.~V.~Gasnikov \paper 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 \jour Zh. Vychisl. Mat. Mat. Fiz. \yr 2012 \vol 52 \issue 6 \pages 1069--1071 \mathnet{http://mi.mathnet.ru/zvmmf9624} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=3245179} \adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2012CMMPh..52..937G} \elib{https://elibrary.ru/item.asp?id=17745734} \transl \jour Comput. Math. Math. Phys. \yr 2012 \vol 52 \issue 6 \pages 937--939 \crossref{https://doi.org/10.1134/S0965542512060085} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000305735100010} \elib{https://elibrary.ru/item.asp?id=20472845} \scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84863211646}