can be expressed as follows:
where:
, so that .
The vector Laplacian of a vector of the type  reads:
It can thus be calculated that:
Therefore:
Thus the vorticity is:
where we have used the vanishing of the divergence of  to relate the vector laplacian and a double curl.
The equation of motion's left hand side is the curl of the following:
We calculate the derivative separately for each term in .
Note that:
And also:
We thus have:
Combining all the terms we have:
Taking the curl, we find an expression that is equal to  times the gradient of the following function, which is the pressure:
where  is the pressure at infinity, .is the polar angle originated from the opposite side of the front stagnation point ( where is the front stagnation point).
Also, the velocity is derived by taking the curl of :
These p and u satisfy the equation of motion and thus constitute the solution to Oseen's approximation.