4 papers
The Free Boundary in a Higher-Dimensional Long-Range Segregation Model
Howen Chuah, Monica Torres
We consider a system of elliptic equations, depending on a small parameter $\eps$, that models long-range segregation of populations. The diffusion is governed by the Laplacian. Th…
A nonlinear model for long-range segregation
Howen Chuah, Stefania Patrizi, Monica Torres
We study a system of fully nonlinear elliptic equations, depending on a small parameter $\eps$, that models long-range segregation of populations. The diffusion is governed by the…
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…
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…