Dispersive Rarefaction Wave With A Large Initial Gradient

Elbert, A. E.; Zakharov, S. V.

doi:10.15826/umj.2017.1.002

Please use this identifier to cite or link to this item: http://elar.urfu.ru/handle/10995/93098

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DC Field	Value	Language
dc.contributor.author	Elbert, A. E.	en
dc.contributor.author	Zakharov, S. V.	en
dc.date.accessioned	2020-10-30T12:54:03Z	-
dc.date.available	2020-10-30T12:54:03Z	-
dc.date.issued	2017	-
dc.identifier.citation	Elbert A. E. Dispersive Rarefaction Wave With A Large Initial Gradient / A. E. Elbert, S. V. Zakharov. — DOI 10.15826/umj.2017.1.002. — Text : electronic // Ural Mathematical Journal. — 2017. — Volume 3. — № 1. — P. 33-43.	en
dc.identifier.issn	2414-3952	-
dc.identifier.uri	http://elar.urfu.ru/handle/10995/93098	-
dc.description.abstract	Consider the Cauchy problem for the Korteweg-de Vries equation with a small parameter at the highest derivative and a large gradient of the initial function. Numerical and analytical methods show that the obtained using renormalization formal asymptotics, corresponding to rarefaction waves, is an asymptotic solution of the KdV equation. The graphs of the asymptotic solutions are represented, including the case of non-monotonic initial data.	en
dc.description.sponsorship	This research was supported by RFBR grant No.14-01-00322.	en
dc.format.mimetype	application/pdf	en
dc.language.iso	en	en
dc.publisher	N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of Russian Academy of Sciences	en
dc.publisher	Ural Federal University named after the first President of Russia B.N. Yeltsin	en
dc.relation.ispartof	Ural Mathematical Journal. 2017. Volume 3. № 1	en
dc.rights	Creative Commons Attribution License	en
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	-
dc.subject	THE KORTEWEG--DE VRIES	en
dc.subject	CAUCHY PROBLEM	en
dc.subject	ASYMPTOTIC BEHAVIOR	en
dc.subject	RAREFACTION WAVE	en
dc.title	Dispersive Rarefaction Wave With A Large Initial Gradient	en
dc.type	Article	en
dc.type	info:eu-repo/semantics/article	en
dc.type	info:eu-repo/semantics/publishedVersion	en
dc.identifier.doi	10.15826/umj.2017.1.002	-
local.description.firstpage	33	-
local.description.lastpage	43	-
local.issue	1	-
local.volume	3	-
local.fund.rffi	14-01-00322	-
Appears in Collections:	Ural Mathematical Journal

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