应用数学2011,Vol.24Issue(4):653-658,6.
带加性白噪声的随机广义Boussinesq方程解的爆破性
Blow-up of Solutions for the Stochastic Generalized Boussinesq Equation with an Additive White Noise
摘要
Abstract
The paper is concerned with the stochastic generalized Boussinesq equation with an additive white noise. Firstly, we establish the local well-posedness of the Cauchy problem for the equation by truncation method. Then we use Ito formula to derive the energy equation of the system. Finally,we prove that the solutions of the system blow-up.关键词
随机广义Boussinesq方程/加性白噪声/爆破Key words
Stochastic generalized Boussinesq equation/ Additive white noise/Blow-up分类
数理科学引用本文复制引用
魏赟赟..带加性白噪声的随机广义Boussinesq方程解的爆破性[J].应用数学,2011,24(4):653-658,6.基金项目
数学地质四川省重点实验室开放基金资助(SCSXDZ2011012) (SCSXDZ2011012)