Qualitative behaviour for one-dimensional strongly degenerate parabolic problems
Corrado Mascia
Università di Roma La Sapienza, ItalyAlessio Porretta
Università di Roma, ItalyAndrea Terracina
Università di Roma La Sapienza, Italy
![Qualitative behaviour for one-dimensional strongly degenerate parabolic problems cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ifb-volume-8-issue-3.png&w=3840&q=90)
Abstract
We consider strongly degenerate convection-diffusion equations which mix possible parabolic and hyperbolic behaviour. We prove some qualitative properties of the solutions, in the one-dimensional case. In particular we study the evolution in time of the number of connected components of parabolic and hyperbolic regions and the continuity of the interfaces between the two phases.
Cite this article
Corrado Mascia, Alessio Porretta, Andrea Terracina, Qualitative behaviour for one-dimensional strongly degenerate parabolic problems. Interfaces Free Bound. 8 (2006), no. 3, pp. 263–280
DOI 10.4171/IFB/143