JournalsifbVol. 8 , No. 3DOI 10.4171/ifb/143

Qualitative behaviour for one-dimensional strongly degenerate parabolic problems

  • C. Mascia

    Università di Roma La Sapienza, Italy
  • Andrea Terracina

    Università di Roma La Sapienza, Italy
  • Alessio Porretta

    Università di Roma, Italy
Qualitative behaviour for one-dimensional strongly degenerate parabolic problems cover

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.