The modeling of reactive transport problems in porous media leads to
large systems consisting of partial and ordinary differential equations,
coupled through source terms (e.g., arising from kinetic reactions) and
through algebraic equations (coming from very fast, i.e., equilibrium
reactions). If mineral precipitation-dissolution reactions are involved,
then the system is additionally coupled to a complementarity problem.
Our work has the following main foci:
The modelling of the processes (including mineral precipitation-dissolution, electrostatic forces, the influence of microbia), the development of efficient and robust numerical techniques for such systems, and the analysis of such systems, in particular the question of existence of global solutions, which is tackled with fixed point techniques.