Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation
- Authors: Korpusov M.O.1, Mikhailenko S.1
-
Affiliations:
- Faculty of Physics
- Issue: Vol 57, No 7 (2017)
- Pages: 1167-1172
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179281
- DOI: https://doi.org/10.1134/S0965542517030095
- ID: 179281
Cite item
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.
Keywords
About the authors
M. O. Korpusov
Faculty of Physics
Author for correspondence.
Email: korpusov@gmail.com
Russian Federation, Moscow, 119991
S. Mikhailenko
Faculty of Physics
Email: korpusov@gmail.com
Russian Federation, Moscow, 119991
Supplementary files
