Prof. Jaquez Rappaz is a professor of mathematics at the Chair of Numerical Analysis and simulation, Institute of Analysis and Scientific Computing EPFL in Lausanne, Switzerland. His list of publications including about 100 journal and proceedings papers mainly features contributions to journals related on applied mathematical modeling, numerical analysis (e.g. ZAMM, Numerische Mathematik) and computational physics. Prof. Rachid Touzani is a professor of Applied Mathematics at the Polytech' Clermont-Ferrand - Université Blaise Pascal, Aubière, France. His expertise are the topics of magneto-hydrodynamics including liquid metal flow, free boundary problems, and induction heating and models with thin inductors (according to his webpage http://math.univ-bpclermont.fr/~touzani/) which make up the "application" chapters 8 to 12 in the book draft under consideration.