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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…
math.AP2023
Morawetz's Contributions to the Mathematical Theory of Transonic Flows, Shock Waves, and Partial Differential Equations of Mixed Type
Gui-Qiang G. Chen
This article is a survey of Cathleen Morawetz's contributions to the mathematical theory of transonic flows, shock waves, and partial differential equations of mixed elliptic-hyper…