Singular kernel

A magneto-viscoelasticity problem with a singular memory kernel

The existence of solutions to a one-dimensional problem arising in magneto- viscoelasticity is here considered. Specifically, a non-linear system of integro- dierential equations is analysed; it is obtained coupling an integro-dierential equation modelling the viscoelastic behaviour, in which the kernel represents the relaxation function, with the non-linear partial dierential equations modelling the presence of a magnetic field.

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