Convection-diffusion-reaction equations in industrial and biological processes

Original research will be conducted on nonlinear degenerate parabolic partial differential equations (PDEs) of convection-diffusion-reaction type with coefficients that depend discontinuously on space. The equations arise in the modelling of real-world problems in industrial processes and life science, for example, the separation processes continuous sedimentation and flotation. There is a demand for new methods for model identification (solution of inverse problems), efficient numerical schemes and controllers of processes modelled with systems of PDEs possibly coupled to ODEs. Efforts will also be laid on the packaging of new results so that they can be received by the applied sciences, which are water science, bio-, chemical and mineral engineering, and neuroscience.