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The three dimensional and two dimensional fundamental solutions for the transient incompressible viscous flow are determined by solving the singular differential equations, which are obtained in the induction process of the integral equation, by means of the Fourier transform. The fundamental solutions determined in this paper have been proved to be practical in applying to a two dimensional problem by the boundary element method.

FUNDAMENTAL SOLUTION FOR TRANSIENT INCOMPRESSIBLE VISCOUS FLOW AND ITS APPLICATION TO THE TWO DIMENSIONAL PROBLEM