An existence result for a P.D.E. with hysteresis, convection and a nonlinear boundary condition

Pages: 344 - 353, Issue Special, September 2007

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Michela Eleuteri - Università degli Studi di Trento, Dipartimento di Matematica, Via Sommarive 14, I–38050 Povo (Trento), Italy (email)

Abstract: In this paper a partial differential equation containing a continuous hysteresis operator and a convective term is considered. This model equation, which appears in the context of magnetohydrodynamics, is coupled with a nonlinear boundary condition containing a memory operator. Under suitable assumptions, an existence result is achieved using an implicit time discretization scheme.

Keywords:  Partial differential equations, hysteresis, convection, nonlinear boundary condition.
Mathematics Subject Classification:  47J40, 76E60, 34B15.

Received: September 2006;      Revised: February 2007;      Published: September 2007.