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Domain-dependent material properties?

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Hi I am trying to simplify a 3D-->2D model for a creep flow/ transport problem.

I have a screenshot of part of the model attached.

What I am trying to do is to define the material (water) dynamic viscosity to be one value in the red colored domain (and the grey bulk in the center), and to be another value in the blue colored domain. The blue domain is actually about 350 tiny connection ports from the outside-in that would simulate a variable thickness that I can't capture in 2D.

If I set the material property expression to "u", and define two model variables to be "u" in the <red domain> and "u" in the <blue domain> I return with an error of duplicate variables.

Is there a way to do this? I am running COMSOL 4.3

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