Mathematics · PDE · Homogenization
Aiyappan Srinivasan
Assistant Professor, Department of Mathematics · Associate Faculty, Department of Engineering Science
Indian Institute of Technology Hyderabad
Indian Institute of Technology Hyderabad
I work on theoretical Partial Differential Equations, focusing mainly on homogenization theory. I am also interested in the analysis of optimal control problems posed on rough structures and their limiting behaviour.
Research focus
My work studies PDEs in multiscale, heterogeneous and geometrically complex structures, with emphasis on rigorous asymptotic limits and effective models.
Recent work includes spectral homogenization in asymptotically thin cylinders and problems with sign-changing spectral densities.
- Homogenization
- Theoretical PDE
- Thin & oscillating domains
- Spectral problems
- Calculus of variations
- Optimal control
- Multiscale analysis
- Dimension reduction