8 citations · 11 across the 5 of their papers we have counts for
5 papers
Local mass-conserving solution for a critical Coagulation-Fragmentation equation
Hung V. Tran, Truong-Son Van
The critical coagulation-fragmentation equation with multiplicative coagulation and constant fragmentation kernels is known to not have global mass-conserving solutions when the in…
Bounds on the heat transfer rate via passive advection
Gautam Iyer, Truong-Son Van
In heat exchangers, an incompressible fluid is heated initially and cooled at the boundary. The goal is to transfer the heat to the boundary as efficiently as possible. In this pap…
Large time behavior for a Hamilton-Jacobi equation in a critical Coagulation-Fragmentation model
Hiroyoshi Mitake, Hung V. Tran, Truong-Son Van
We study the large time behavior of the sublinear viscosity solution to a singular Hamilton-Jacobi equation that appears in a critical Coagulation-Fragmentation model with multipli…
Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel
Hung V. Tran, Truong-Son Van
We study a critical case of Coagulation-Fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. Our method is based on the study of viscos…
Existence of solitary waves in one dimensional peridynamics
Robert L. Pego, Truong-Son Van
We give a rigorous proof of existence for solitary waves of a peridynamics model in one space dimension recently investigated by Silling (J. Mech. Phys. Solids 96:121--132, 2016).…