• Corpus ID: 124727809

Homogenization Techniques for Lower Dimensional Structures

  title={Homogenization Techniques for Lower Dimensional Structures},
  author={S{\"o}ren Dobbersch{\"u}tz},
This thesis is concerned with extensions and applications of the theory of periodic unfolding in the field of (mathematical) homogenization. The first part extends the applicability of homogenization in domains with evolving microstructure to the case of evolving hypersurfaces: We consider a diffusion-reaction equation inside a perforated domain, where also surface diffusion and reaction takes place. Upon a transformation to a referential geometry, we (formally) obtain a transformed set of… 
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