INSTABILITY OF TRAVELING WAVES OF THE KURAMOTO-SIVASHINSKY EQUATION
INSTABILITY OF TRAVELING WAVES OF THE KURAMOTO-SIVASHINSKY EQUATION
复制标题
KURAMOTO-SIVASHINSKY方程行波的不稳定性
DOI：
10.1142/s0252959902000250
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
Guanxiang Wang
中科院分区：
文献类型：
--
作者：
W. Strauss;Guanxiang Wang
考虑Kuramoto-Sivashinsky方程的任何行波解，当x → +∞时，它渐近于一个常数。作者证明了它在H1扰动下是非线性不稳定的。证明是基于一般定理在Banach空间断言，线性不稳定意味着非线性不稳定。
Consider any traveling wave solution of the Kuramoto-Sivashinsky equation that is asymptotic to a constant as x → +∞. The authors prove that it is nonlinearly unstable under H1 perturbations. The proof is based on a general theorem in Banach spaces asserting that linear instability implies nonlinear instability.