<Reference List> | |
Type: | Preprint |
National /International: | International |
Title: | Transmission problems: regularity theory, interfaces and beyond |
Publication Date: | 2023-06-27 |
Authors: |
- Vincenzo Bianca
- Edgard Almeida Pimentel - José Miguel Urbano |
Abstract: | Modelling diffusion processes in heterogeneous media requires addressing inherent discontinuities across interfaces, where specific conditions are to be met. These challenges fall under the purview of Mathematical Analysis as transmission problems. We present a panorama of the theory of transmission problems, encompassing the seminal contributions from the 1950s and subsequent developments. Then we delve into the discussion of regularity issues, including recent advances matching the minimal regularity requirements of interfaces and the optimal regularity of the solutions. A discussion on free transmission problems closes the survey. |
Institution: | DMUC 23-20 |
Online version: | http://www.mat.uc.pt...prints/eng_2023.html |
Download: | Not available |