Well posedness results for a class of partial differential equations with hysteresis arising in electromagnetism
- Eleuteri, Michela
2010 Mathematics Subject Classification
- 35Q60 47J40
- partial differential equations, hysteresis, electromagnetic processes
We consider an evolutionary P.D.E. motivated by models for electromagnetic processes in ferromagnetic materials. Magnetic hysteresis is represented by means of a hysteresis operator. Under suitable assumptions, an existence and uniqueness theorem is obtained, together with the Lipschitz continuous dependence on the data and some further regularity results. The discussion of the behaviour of the solution in dependence on physical parameters of the problem is also outlined.
- Nonlinear Anal. Real World Appl., 8 (2007) pp. 1494-1511.