In this paper we deal with the mathematical investigation of a class of parabolic partial differential equations containing a continuous hysteresis operator arising in the context of magnetohydrodynamics. The main result we achieve is the existence of a weak solution by means of a technique based on an implicit time discretization scheme. Uniqueness is obtained under some suitable monotonicity assumptions on the hysteresis operator; finally we also analyse the dependence of the solution on the data.

Wellposedness results for a class of parabolic partial differential equations with hysteresis / Eleuteri, Michela. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 15:4-5(2008), pp. 557-580. [10.1007/s00030-008-7018-z]

Wellposedness results for a class of parabolic partial differential equations with hysteresis

ELEUTERI, Michela
2008

Abstract

In this paper we deal with the mathematical investigation of a class of parabolic partial differential equations containing a continuous hysteresis operator arising in the context of magnetohydrodynamics. The main result we achieve is the existence of a weak solution by means of a technique based on an implicit time discretization scheme. Uniqueness is obtained under some suitable monotonicity assumptions on the hysteresis operator; finally we also analyse the dependence of the solution on the data.
2008
15
4-5
557
580
Wellposedness results for a class of parabolic partial differential equations with hysteresis / Eleuteri, Michela. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 15:4-5(2008), pp. 557-580. [10.1007/s00030-008-7018-z]
Eleuteri, Michela
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1083263
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