On a class of partial differential equations with hysteresis arising in magnetohydrodynamics
- Eleuteri, Michela
2010 Mathematics Subject Classification
- 35K55 47J40 76W05
- partial differential equations, hysteresis, Preisach operator, magnetohydrodynamics
In this paper we deal with a class of parabolic partial differential equations containing a continuous hysteresis operator. We get an existence result by means of a technique based on an implicit time discretization scheme and we also analyse the dependence of the solution on the data. This model equation appears in the context of magnetohydrodynamics.