Publications and Preprints

(with H.V. Tran) Local massconserving solution for a critical CoagulationFragmentation equation. [2022, Arxiv]

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

(with H. Mitake and H.V. Tran) Large time behavior for a HamiltonJacobi equation in a critical CoagulationFragmentation model. [Communications in Mathematical Sciences (2021), Arxiv]

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

(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 coagulationfragmentation equation, Encontro Nacional SPM 2021, parallel session Deterministic and stochastic coagulationfragmentation models, Portugal (online).

(Feb. 2021) CoagulationFragmentation from HamiltonJacobi perspective, PDE Seminar at University of Tennessee  Knoxville, Knoxville, TN (online).

(Nov. 2020) CoagulationFragmentation from HamiltonJacobi perspective, Seminar at University of Bonn, Bonn, Germany (online).

(2020– postponed due to COVID19) CoagulationFragmentation via HamiltonJacobi, Madison Workshop in PDE 2020 , University of Wisconsin at Madison, Madison, WI.

(2020– postponed due to COVID19) CoagulationFragmentation 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.