INSTABILITY AND BLOW-UP OF SOLUTIONS TO A GENERALIZED BOUSSINESQ EQUATION

被引：103
|
作者：
LIU, Y
机构：
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1995年 / 26卷 / 06期
关键词：
BOUSSINESQ EQUATION; BLOW-UP; SOLITARY WAVES; GROUND STATE; STABILITY THEORY;
D O I：
10.1137/S0036141093258094
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate conditions for the finite-time blow-up of solutions of the generalized Boussinesq equation (BQ) u(tt) - u(xx) + (f(u) + u(xx))(xx) = 0, x is an element of R, t > 0. The conditions are expressed in terms of the energy of the ground state. In particular, there exist initial data arbitrarily close to the stationary state of lowest energy whose solutions blow up in finite time.
引用
收藏
页码：1527 / 1546
页数：20
相关论文
共 50 条
12345