My Math Forum drift-diffusion equation

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 November 15th, 2007, 01:53 PM #1 Newbie   Joined: Nov 2007 Posts: 6 Thanks: 0 drift-diffusion equation I have the next drift-diffusion equation: \frac{\partial \phi(x,y,z)}{\partial t} + u_x(z) \frac{\partial \phi(x,y,z)}{\partial x} = \nabla D(z) \nabla \phi (x,y,z) where D(z) is a matrice. To solve this equation i perform the next change of variable: X = x + u(z) t , Y= y , Z=z, T=t and then I apply the Fourier transformation and when I solve this integrals with maple, at the first integral maple said that it is undefined. Maybe I can solve the problem applying other change of variable taking into account for example Z=z - \nabla D(z) or maybe I should replace also in \nabla D(z) the change of variable. I am not sure if I can doing this options. Could someone help me? p.s. I cannot write in LaTex, I don´t know why.

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