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.

On a class of partial differential equations with hysteresis arising in magnetohydrodynamics / Eleuteri, Michela. - ELETTRONICO. - (2006), pp. 1-18.

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

Eleuteri, Michela
2006-01-01

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.
2006
Trento
Università degli Studi di Trento - Dipartimento di Matematica
On a class of partial differential equations with hysteresis arising in magnetohydrodynamics / Eleuteri, Michela. - ELETTRONICO. - (2006), pp. 1-18.
Eleuteri, Michela
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/358000
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