Nonlinear Equations of the Theory of Ion-Sound Plasma Waves

被引：1
|
作者：
Korpusov, M. O. [1 ,2 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Phys, Moscow 119991, Russia
[2] RUDN Univ, Moscow 117198, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2021年 / 61卷 / 11期
关键词：
nonlinear equations of Sobolev type; blow-up; local solvability; nonlinear capacity; blow-up time estimates; BLOW-UP;
D O I：
10.1134/S0965542521110117
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
New high-order nonlinear equations of the Sobolev type describing ion-sound plasma waves in an external electric or magnetic field are derived. Despite the cumbersome form of the equations, research techniques are developed for corresponding initial and initial-boundary value problems. Specifically, based on the present results, sufficient conditions for blow-up formation will be proposed later.
引用
收藏
页码：1886 / 1894
页数：9
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