| Abstract: |
| Multiscale homogenization is a mathematical method used to analyze partial differential equations (PDEs) in heterogeneous media with coefficients that vary on multiple oscillating scales. The classical homogenization theory, which addresses PDEs with a single oscillating scale, has been well-established so far. The multiscale homogenization is more complicated due to the interactions between different oscillating scales, particularly when these scales are not separated. In this talk, I will discuss a new scale separation idea in multiscale elliptic homogenization by using the simultaneous Diophantine approximation from number theory. |
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