Instability of stationary bubbles
Instability of stationary bubbles
复制标题
静止气泡的不稳定性
DOI：
10.1137/s0036141092237029
复制
发表时间：
1995
影响因子：
2
通讯作者：
A. Bouard
中科院分区：
文献类型：
--
作者：
A. Bouard
本文利用线性化算子研究了具有非零“边界条件”的非线性Schrodinger方程定常解的不稳定性。我们证明了该算子具有真实的正本征值，并且当它们存在时，定态“泡”总是轨道不稳定的。
The paper is concerned with the study, by means of a linearized operator, of the instability of stationary solutions of a nonlinear Schrodinger equation with nonvanishing “boundary conditions.” We prove that this operator possesses a real positive eigenvalue, and that when they exist, the stationary “bubbles“ are always orbitally unstable.