Description: Calculus of functions of several variables and of vector fields in orthogonal coordinate systems. Optimization problems, implicit function theorem, Green's theorem, Stokes' theorem, ...

Stokes’ theorem, in its original form and Cartan’s generalization, is crucial for designing magnetic fields to confine plasma (ionized gas). The paper illustrates its use, in particular to address the ...

A characterization theorem for moments of the Stokes traction field on the bounding surface of a three-dimensional flow domain is stated and proved. Whereas the single-layer Stokes potentials lead to ...