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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 7, Pages 1170–1175
DOI: https://doi.org/10.7868/S0044466917030097 (Mi zvmmf10589) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation

M. O. Korpusov, S. G. Mikhailenko

Faculty of Physics, Moscow State University, Moscow, Russia
Full-text PDF (117 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466917030097
Abstract: The Cauchy problem for a second-order nonlinear equation with mixed derivatives is considered. It is proved that its classical local-in-time solution does not exist. The blow-up of the solution is proved by applying S. I. Pohozaev and E. L. Mitidieri's nonlinear capacity method.
Key words: nonlinear capacity, blow-up.
Received: 28.10.2015
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 7, Pages 1167–1172
DOI: https://doi.org/10.1134/S0965542517030095
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. O. Korpusov, S. G. Mikhailenko, “Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1170–1175; Comput. Math. Math. Phys., 57:7 (2017), 1167–1172
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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