6 research outputs found
Degenerate diffusion with Preisach hysteresis
Fluid diffusion in unsaturated porous media manifests strong hysteresis
effects due to surface tension on the liquid-gas interface. We describe
hysteresis in the pressure-saturation relation by means of the Preisach
operator, which makes the resulting evolutionary PDE strongly degenerate. We
prove the existence and uniqueness of a strong global solution in arbitrary
space dimension using a special weak convexity concept.Comment: 34 page
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Magnetohydrodynamic flow with hysteresis
We consider a model system describing the 2D flow of a conducting fluid surrounded by a ferromagnetic solid under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach hysteresis operator. Existence and uniqueness of solutions for the resulting system of PDEs with hysteresis nonlinearities is established in the convexity domain of the Preisach operator
MAGNETOHYDRODYNAMIC FLOW WITH HYSTERESIS
We consider a model system describing the two-dimensional flow of a conducting fluid surrounded by a ferromagnetic solid under the influence of the hysteretic response of the surrounding medium. We assume that this influence can be represented by the Preisach hysteresis operator. Existence and uniqueness of solutions for the resulting system of PDEs with hysteresis nonlinearities is established in the convexity domain of the Preisach operator