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For T > 0, fixed, let UT = U × 0,T where U denotes a bounded open set in Rn.Suppose that U is filled with a material in which a contaminant is being transported by various means including diffusion and convection. Let the concentration of contaminant at x, t in UT be denoted by ux, t and let the vector field F⃗x, t denote the flux field for the contaminant. Then we can state a conservation principle for the contaminant as follows. For an arbitrary ball B in U and an arbitrary time interval t1, t2 ⊂ 0,T we can assert that

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تاریخ انتشار 2004