Vinh T. Nguyen's Research

Research Interests

• Models of Collective Behavior, Interacting Particle Systems
• Partial differential equations (PDEs), Stochastic PDEs
• Interpolation and Extension Theory
• Duality Theory, Linear Programming, Optimization Theory

Publications & Preprints

1. 7. V. Nguyen, Non-Attainment of Minima in Non-Polyhedral Conic Optimization: A Robust SOCP Example, 2025.
   [arXiv]
2. 6. V. Nguyen, Exponential relaxation to equilibrium for a kinetic Fokker-Planck-Alignment equation with force, 2023.
   [arXiv]
3. 5. V. Nguyen, R. Shvydkoy and C. Tan, Mean-field limits of deterministic and stochastic flocking models with nonlinear velocity alignment, Advances in Mathematics, Volume 494, 2026.
   [arXiv] | [Journal (free access and download up to May 19, 2026)]
4. 4. V. Nguyen, K. Promislow and B. Wetton, Quasisteady patterns in interfaces: folding and faceting, Physica D: Nonlinear Phenomena, 482, 2025.
   [arXiv] | [Journal]
5. 3. V. Nguyen and R. Shvydkoy, Continuous model of opinion dynamics with convictions, Discrete and Continuous Dynamical Systems 43(11):4010–4026, 2023.
   [arXiv] | [Journal]
6. 2. V. Nguyen and R. Shvydkoy, Propagation of chaos for the Cucker-Smale systems under heavy tail communication, Communications in Partial Differential Equations 47(9):1883–1906, 2022.
   [arXiv] | [Journal]
7. 1. N. T. Vinh, D. S. Kim, N. N. Tam, and N. D. Yen, Duality gap function in infinite dimensional linear programming, Journal of Mathematical Analysis and Applications 437(1):1–15, 2016.
   [PDF] | [Journal]