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I have a question about an equation.

I have an equation which is a boundary condition to a problem I have concerning fluid flow in a layered porous medium. I have a equation where my only variable is the temperature T, and I have 10 boundary conditions with it. In order to solve the system, I need to express all my boundary contitions in terms of T. I have managed it with all but i miss one, which contains Pressure.

I need to have the pressure expressed in terms of T in this equation:

∇^2 P = dT/dz.

I feel like I need some sort of conection where ∇P=aP, where a is a constant. Does anyone know how to solve it, or if such a relation exists?

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# How to get rid of laplace of pressure in an equation

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