6 papers
Stability analysis of a novel Delay Differential Equation of HIV Infection of CD4 T-cells
Hoang Anh Ngo, Hung Dang Nguyen, Mehmet Dik
In this paper, we investigate a novel 3-compartment model of HIV infection of CD4 T-cells with a mass action term by including two versions: one baseline ODE model and one dela…
On the Hölder regularity of a linear stochastic partial-integro-differential equation with memory
Scott A. McKinley, Hung D. Nguyen
In light of recent work on particles fluctuating in linear viscoelastic fluids, we study a linear stochastic partial-integro-differential equation with memory that is driven by a s…
Asymptotic analysis of the mean squared displacement under fractional memory kernels
Gustavo Didier, Hung D. Nguyen
The generalized Langevin equation (GLE) is a universal model for particle velocity in a viscoelastic medium. In this paper, we consider the GLE family with fractional memory kernel…
The small-mass limit and white-noise limit of an infinite dimensional Generalized Langevin Equation
Hung D. Nguyen
We study asymptotic properties of the Generalized Langevin Equation (GLE) in the presence of a wide class of external potential wells with a power-law decay memory kernel. When the…
The Generalized Langevin Equation with a power-law memory in a nonlinear potential well
Nathan Glatt-Holtz, David Herzog, Scott McKinley +1
The generalized Langevin equation (GLE) is a stochastic integro-differential equation that has been used to describe the velocity of microparticles in viscoelastic fluids. In this…
Anomalous Diffusion and the Generalized Langevin Equation
Scott A McKinley, Hung D Nguyen
The Generalized Langevin Equation (GLE) is a Stochastic Integro-Differential Equation that is commonly used to describe the velocity of microparticles that move randomly in viscoel…