A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
A general approximation method in the theory of plates of small deflection

1949
*
Quarterly of Applied Mathematics
*

where ^ is an arbitrary scalar, its curl satisfies condition (1). The result (4) together with Stokes' theorem gives §-Jb-dl-O, i.e., that the line integral of B about a circuit which moves with the fluid is constant. This may also be proven directly. The velocity vector q satisfies (5) as a dynamical condition and the vorticity vector V X q satisfies (1). Thus (4) gives the theorem for the constancy of flux of vorticity and (6), the constancy of circulation.

doi:10.1090/qam/29707
fatcat:yvymjyfzsbaxfdjvdc2qg4nlxq