从平均到均匀化的细胞流-过渡的精确描述
From averaging to homogenization in cellular flows - an exact description of the transition
摘要:
本文研究了一个两参数的平均均匀化型椭圆问题及其解的随机表示。对相应的扩散过程导出了一个极限定理,并得到了偏微分方程解的两参数极限行为的精确描述。
英文摘要:
We consider a two-parameter averaging-homogenization type elliptic problem together with the stochastic representation of the solution. A limit theorem is derived for the corresponding diffusion process and a precise description of the two-parameter limit behavior for the solution of the PDE is obtained.
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