Viscosity-dependent inertial spectra of the Burgers and Korteweg-deVries-Burgers equations
Viscosity-dependent inertial spectra of the Burgers and Korteweg-deVries-Burgers equations
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DOI：
10.1073/pnas.0500335102
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发表时间：
2005-03-15
影响因子：
11.1
通讯作者：
Hald, OH
中科院分区：
文献类型：
--
作者：
Chorin, AJ;Hald, OH
我们发现，在任何波数下，当粘性很小但不为零时，Burgers方程的惯性范围谱都有一个依赖于粘性的修正。我们还计算了Korteweg-deVries-Burgers方程的谱，并证明了它可以部分映射到具有适当有效扩散系数的Burgers方程的惯性谱上。这些结果对理解湍流有重要意义。
We show that the inertial range spectrum of the Burgers equation has a viscosity-dependent correction at any wave number when the viscosity is small but not zero. We also calculate the spectrum of the Korteweg-deVries-Burgers equation and show that it can be partially mapped onto the inertial spectrum of a Burgers equation with a suitable effective diffusion coefficient. These results are significant for the understanding of turbulence.