2 papers
math.AP2025
Curl Measure Fields, the Generalized Stokes Theorem and Vorticity Fluxes
Gui-Qiang G. Chen, Franz Gmeineder, Monica Torres
We introduce and analyze the class of curl-measure fields that are -integrable vector fields whose distributional curl is a vector-valued finite Radon measure…
math.AP2024
Extended Divergence-Measure Fields, the Gauss-Green Formula, and Cauchy Fluxes
Gui-Qiang G. Chen, Christopher Irving, Monica Torres
We establish the Gauss-Green formula for extended divergence-measure fields (i.e., vector-valued measures whose distributional divergences are Radon measures) over open sets. We pr…