论文标题
汉堡的一维湍流
One-dimensional turbulence with Burgers
论文作者
论文摘要
聚集了一些现有的结果,我们表明,一维汉堡方程的解决方案很长时间会趋向于稳定的汉堡方程的固定溶液,稳定的汉堡方程不可集成。这是波湍流的主要特征之一。
Gathering together some existing results, we show that the solutions to the one-dimensional Burgers equation converge for long times towards the stationary solutions to the steady Burgers equation, whose Fourier spectrum is not integrable. This is one of the main features of wave turbulence.