WIAS Preprint No. 1197, (2007)

On a class of partial differential equations with hysteresis arising in magnetohydrodynamics



Authors

  • Eleuteri, Michela

2010 Mathematics Subject Classification

  • 35K55 47J40 76W05

Keywords

  • partial differential equations, hysteresis, Preisach operator, magnetohydrodynamics

Abstract

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.

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