带可乘白噪音的耗散Hamiltonian振幅调制波不稳定方程的随机吸引子

On Random Attractors for Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities with Multiplicative White Noise

主要研究由带可乘白噪音的耗散Hamiltonian振幅调制波不稳定方程的解生成的随机动力系统,该动力系统在空间E0=H1×L2中存在紧的随机吸引子.

The unique solution of the dissipative Hamiltonian amplitude equation governing modulated waveinstabilities with multiplicative white noise generates a random dynamical system, which possesses a corn-pact random attractor in E0=H^1×L^2.