Segregation effects and gap formation in cross-diffusion models
- In this paper, we extend the results of [8] by proving exponential asymptotic H1-convergence of solutions to a one-dimensional singular heat equation with L2-source term that describe evolution of viscous thin liquid sheets while considered in the Lagrange coordinates. Furthermore, we extend this asymptotic convergence result to the case of a time inhomogeneous source. This study has also independent interest for the porous medium equation theory.
| Author: | Martin Burger, José Carrillo, Jan-Frederik PietschmannORCiDGND, Markus Schmidtchen |
|---|---|
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/102099 |
| ISSN: | 1463-9963OPAC |
| Parent Title (English): | Interfaces and Free Boundaries |
| Publisher: | European Mathematical Society Publishing House |
| Place of publication: | Zürich |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2020 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/02/20 |
| Tag: | Applied Mathematics |
| Volume: | 22 |
| Issue: | 2 |
| First Page: | 175 |
| Last Page: | 203 |
| DOI: | https://doi.org/10.4171/ifb/438 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Inverse Probleme |
