LabCompass

Monica Torres

Mathematics · Purdue University West Lafayette

OpenAlex ORCID
Established · publishing since 1998
Geometric Analysis and Curvature FlowsNavier-Stokes equation solutionsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringComputational Fluid Dynamics and Aerodynamics

Publications

22

Citations

253

Est. group size

—

Recurring co-author estimate

Active years

28

Publishing since 1998

Research summary
AI-generated

Monica Torres works in mathematical analysis, focusing on partial differential equations and geometric measure theory—mathematical tools used to describe fluid flow, shapes, and boundaries in a rigorous way. Much of her work concerns generalizing classical theorems (like the Gauss-Green formula, which relates flow through a boundary to behavior inside a region) to rough or irregular settings, with connections to fluid dynamics and free boundary problems (where an unknown interface, such as between two phases of a material, must be determined as part of the solution).

Geometric measure theoryPartial differential equationsDivergence-measure fields and Gauss-Green formulasFree boundary and phase transition problemsFluid dynamics-related analysis

Publication output has been modest and irregular over the last decade, with occasional gaps (e.g., 2019, 2022) followed by a slight uptick in 2024-2025.

Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026

Publication cadence
Publications per year over the last 10 years — averaging 1.0/year recently
2017: 3 publications3172018: 2 publications18192020: 1 publication202021: 1 publication21222023: 1 publication232024: 2 publications242025: 2 publications2526
Recent publications
Publishes in
  • arXiv (Cornell University)×3
  • Nonlinear Analysis Real World Applications×1
  • Archive for Rational Mechanics and Analysis×1
  • Advances in Calculus of Variations×1
  • ESAIM Control Optimisation and Calculus of Variations×1
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This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.

Last updated Jul 20, 2026.

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