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Homogenization

MA5921Elective Modules3 ECTSEnglishUnregelmäßigDepartment Mathematics
AI-edited module sheet. Based on the TUMonline module description, edited for readability.Original in TUMonline

What it is about

You learn methods of homogenization for partial differential equations with rapidly oscillating coefficients as well as for PDEs in domains with periodically distributed small holes. In the end you will be able to apply fundamental homogenization techniques such as asymptotic expansions and two-scale convergence and describe the concepts behind stochastic homogenization problems.

What you will be able to do

  • Apply asymptotic expansions
  • Understand and apply two-scale convergence for periodic coefficients
  • Treat PDEs on domains with periodically distributed small holes
  • Classify stochastic homogenization problems

What the module consists of

  • VorlesungPresentation of the content with examples and discussion for independent analysis and deepening

Teaching method

  • VorlesungIn lectures, content is presented with demonstrative examples and discussed in exchange with students to motivate independent literature work
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Official page in TUMonline · Details are not binding.