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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2018, Volume 15, Pages 950–970
DOI: https://doi.org/10.17377/semi.2018.15.081 (Mi semr968) 		 
Differentical equations, dynamical systems and optimal control

The shock front asymptotics in the linear problem of shock wave

E. V. Semenkoab, T. I. Semenkoab

a Novosibirsk State Technical University, Prospekt K. Marksa 20, 630073, Novosibirsk, Russia
b Novosibirsk State Pedagogical University, ul. Viluiskaya, 28, 630126, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2018.15.081
Abstract: The article is a direct continuation of the previous papers of the authors, devoted to the linear problem of shock wave disturbance. The asymptotics of shock front disturbance in time in the stability case at the presence of the pre-shock initial perturbations is studied. The two principal terms of the asymptotics are determined and studied. We want to point out that the first term of the asymptotics of first degree was not discovered before.
Keywords: shock wave, shock disturbance, shock front, Fourier transform.
Received January 8, 2018, published August 24, 2018
Bibliographic databases:
Document Type: Article
UDC: 517.958, 532.5
MSC: 35A21, 35A22, 35D30, 76L05
Language: English
Citation: E. V. Semenko, T. I. Semenko, “The shock front asymptotics in the linear problem of shock wave”, Sib. Èlektron. Mat. Izv., 15 (2018), 950–970
Citation in format AMSBIB
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\by E.~V.~Semenko, T.~I.~Semenko
\paper The shock front asymptotics in the linear problem of shock wave
\jour Sib. \`Elektron. Mat. Izv.
\yr 2018
\vol 15
\pages 950--970
\mathnet{http://mi.mathnet.ru/semr968}
\crossref{https://doi.org/10.17377/semi.2018.15.081}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000454860200023}
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