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August 22, 2010 11:04am UTC

general form of PDE multiphysics

I need to solve ONE SYSTEM of PDEs with two primary variables u1 and u2 in 1-D. so I have just one subdomain. what I need to do is to solve this system, or in other words solve for u1 and u2 for t and x. however, variable u2 is physically meaningless if it becomes bigger than 1 so as long as u2<1 solving this system is ok otherwise I would like to set u2=1. So in the latter case, it is enough is I solve just the first PDE rather than SYSTEM of Pdes and set u2=1 by this way in those places where u2=1 we are just solving for u1 and the first pde is enough.
So does any body know how I can disable one of the PDEs when u2>=1 and set u2=1? this is practically shifting from two PDEs (as one system) to one PDE for some limits of one of the primary varibles.
Many thanks in advance

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