Instantaneous Blow-up of Classical Solutions to the Cauchy Problem for the Khokhlov-Zabolotskaya Equation

被引：4
|
作者：
Korpusov, M. O. [1 ]
Mikhailenko, S. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 07期
关键词：
nonlinear capacity; blow-up;
D O I：
10.1134/S0965542517030095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1167 / 1172
页数：6
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