We consider a class of degenerate parabolic systems in one space dimension; it
includes models for describing phenomena in consolidation, recovery and damage
prevention of building stones, involving diffusive processes arising only in some
regions. The question of existence of solutions is approached, by means of vanishing
viscosity, and entropy conditions holding for the solutions are presented.
Existence and uniqueness results for the approximating parabolic systems
are proved, taking into account the nonlinearity of the strongly coupled
equations.
