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DC Field | Value | Language |
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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 |
Files in This Item:
File | Description | Size | Format | |
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umj_2017_3_1_33-43.pdf | 264,52 kB | Adobe PDF | View/Open |
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