Publication: Application of invariants of characteristics to construction of solutions without gradient catastrophe
Дата
2022
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Аннотация
The one-dimensional system of equations of isentropic gas dynamics is considered. First-order invariants of characteristics of this system are classified. Second-order invariants of characteristics are classified for polytropic processes. The infinite sequence of Darboux integrable systems is described. The approach to construction of smooth solutions without gradient catastrophe is proposed. Examples of solutions without gradient catastrophe are presented.
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Цитирование
Aksenov, A. V. Application of invariants of characteristics to construction of solutions without gradient catastrophe / Aksenov, A.V., Druzhkov, K.P., Kaptsov, O.V. // International Journal of Non-Linear Mechanics. - 2022. - 147. - 10.1016/j.ijnonlinmec.2022.104249
URI
https://www.doi.org/10.1016/j.ijnonlinmec.2022.104249
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https://openrepository.mephi.ru/handle/123456789/27429
https://www.scopus.com/record/display.uri?eid=2-s2.0-85139594380&origin=resultslist
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=Alerting&SrcApp=Alerting&DestApp=WOS_CPL&DestLinkType=FullRecord&UT=WOS:000874676700011
https://openrepository.mephi.ru/handle/123456789/27429