PhD-thesis (Delft University of Technology, 1994-1998): Mathematical models for the particle dissolution in aluminium alloys. During this work, vector valued Stefan problems were formulated, analyzed and solved using mathematical and numerical techniques. Part of this work was carried out at the Max Planck Institute in Germany.
Postdoc (CWI - Amsterdam, 1998-2000): Mathematical analysis of models for polymer injection in porous media. During this research, systems of transport-reaction equations were analyzed qualitatively. Existence and construction of traveling wave solutions were considered, as well as numerical techniques to solve the equations.
Assistant Professor (DIAM, Delft University of Technology, 2000-2008): I gave several mathematical courses like calculus, linear algebra, differential equations, introduction into modeling, introduction into the finite-element method, mathematics special topics, numerical analysis i and numerical analysis ii.
I also took part in the organization of the Dutch Mathematical Congress in Delft in 2006.
Associate Professor (DIAM, Delft University of Technology, 2008--present): I give several courses from numerical analysis: Numerical analysis i, numerical analysis ii, numerieke methoden ii, applied finite-elements and the ATHENS course 'introduction into finite-elements', in collaboration with dr. Lahaye.
I organized the Delft Symposium of Mathematical Models for Wound Healing. I work with four PhD-students and one postdoc currently. Further, I have an intense collaboration with the biomechanics group of prof Doblare in Zaragoza, Spain. I regularly visit and collaborate with prof Garcia-Aznar and dr Javierre.
I am involved in the organization of the first congress on self healing materials in Spain, to be held in Madrid, June 2010. Finally, I am organizing a Dutch-Spanish conference on mathematical models for bio-inspired self- healing materials to take place in the end of 2011.
- moving boundary problems from metallurgy and biology;
- solution of diffuse-interface models (such as the Cahn-Hilliard equation);
- development of models for wound healing, bone ingrowth and other biological/medical applications such as cell maturation and obesitas;
- developing models for man-made self-healing materials;
- analysis of partial differential equations with mainly biomechanical applications;
- development and solution of models for transport in porous media (food industry and bacterial reinforcement of soil).