TY - JOUR
TI - The vector calculus with respect to monotone functions applied to heat conduction problems
AU - Yang Xiao-Jun
JN - Thermal Science
PY - 2020
VL - 24
IS - 6
SP - 3949
EP - 3959
PT - Article
AB - This paper addresses the theory of the vector calculus with respect to  monotone functions for the first time. The Green-like theorem, Stokes-like  theorem, Gauss-like theorem, and Green-like identities are obtained with  the aid of the notation of Gibbs. The results are used to model the  heat-conduction problems arising in the complex phenomenon.