对流扩散算子的对称化
Symmetrization of advection-diffusion operators
摘要：
提出了一种将一类扩展的非自伴对流扩散算子转化为自伴算子的新方法。该变换是基于一个点变换和李变换的组合，结合渐近展开的扩散率。我们说明了简单的剪切流的情况下，扩展是准确的，所有的转换步骤可以明确执行的方法。
英文摘要：
We present a new method to transform an expanded class of non-selfadjoint advection-diffusion operators into self-adjoint operators. The transform is based on a combination of a point transform and Lie transform in conjunction with an asymptotic expansion in terms of the diffusivity. We illustrate the method in the context of simple shear flow where the expansion is exact and all transformation steps can be performed explicitly.
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