Truong-Son Van

I am a Hans Rademacher Instructor in the Department of Mathematics at the University of Pennsylvania. Prior to Fall 2021, I was a student of Gautam Iyer and Bob Pego at Carnegie Mellon University.

My current research interest lies in some intersection between partial differential equations and probability. These days, I spend a lot of time thinking about the advection-diffusion equation, the coagulation-fragmentation equation, and the Hamilton-Jacobi equation.

Publications and Preprints

  1. (with H.V. Tran) Local mass-conserving solution for a critical Coagulation-Fragmentation equation. [2022, Arxiv]

  2. (with G. Iyer) Bounds on the heat transfer rate via passive advection. [SIAM Journal of Mathematical Analysis (2021), Arxiv]

  3. (with H. Mitake and H.V. Tran) Large time behavior for a Hamilton-Jacobi equation in a critical Coagulation-Fragmentation model. [Communications in Mathematical Sciences (2021), Arxiv]

  4. (with H.V. Tran) Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. [Communications on Pure and Applied Mathematics (2021), Arxiv]

  5. (with R.L. Pego) Existence of solitary waves in one dimensional peridynamics. [Journal of Elasticity (2018), Arxiv].

  • Investigations of the dynamics of models of heat transfer and clustering. [PhD Thesis (2021), pdf].

Selected presentations

  • (Jul. 2021) Tail dynamics of a singularly perturbed coagulation-fragmentation equation, Encontro Nacional SPM 2021, parallel session Deterministic and stochastic coagulation-fragmentation models, Portugal (online).

  • (Feb. 2021) Coagulation-Fragmentation from Hamilton-Jacobi perspective, PDE Seminar at University of Tennessee - Knoxville, Knoxville, TN (online).

  • (Nov. 2020) Coagulation-Fragmentation from Hamilton-Jacobi perspective, Seminar at University of Bonn, Bonn, Germany (online).

  • (2020– postponed due to COVID-19) Coagulation-Fragmentation via Hamilton-Jacobi, Madison Workshop in PDE 2020 , University of Wisconsin at Madison, Madison, WI.

  • (2020– postponed due to COVID-19) Coagulation-Fragmentation equations with multiplicative coagulation and constant fragmentation, The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Section: Nonlinear models in kinetic theory, collective behavior, and fluid dynamics, Atlanta, GA.

  • (July 2018) Existence of solitary waves in one dimensional peridynamics, SIAM conference on mathematical aspects of material sciences, Portland, OR.