18 citations · 29 across the 13 of their papers we have counts for
16 papers
Exponential mixing in a hydrodynamic pilot--wave theory with singular potentials
Hung D. Nguyen, Anand U. Oza
We conduct an analysis of a stochastic hydrodynamic pilot-wave theory, which is a Langevin equation with a memory kernel that describes the dynamics of a walking droplet (or "walke…
Geometric ergodicity of a stochastic Hamiltonian system
Hung D. Nguyen, Lekun Wang
We study the long time statistics of a two-dimensional Hamiltonian system in the presence of Gaussian white noise. While the original dynamics is known to exhibit finite time explo…
The short memory limit for long time statistics in a stochastic Coleman-Gurtin model of heat conduction
Nathan E. Glatt-Holtz, Vincent R. Martinez, Hung D. Nguyen
We consider a class of semi-linear differential Volterra equations with polynomial-type potentials that incorporates the effects of memory while being subjected to random perturbat…
The invariant measure of a walking droplet in hydrodynamic pilot-wave theory
Hung D. Nguyen, Anand U. Oza
We study the long time statistics of a walker in a hydrodynamic pilot-wave system, which is a stochastic Langevin dynamics with an external potential and memory kernel. While prior…
Polynomial mixing of a stochastic wave equation with dissipative damping
Hung D. Nguyen
We study the long time statistics of a class of semi--linear wave equations modeling the motions of a particle suspended in continuous media while being subjected to random perturb…
The small mass limit for long time statistics of a stochastic nonlinear damped wave equation
Hung D. Nguyen
We study the long time statistics of a class of semi--linear damped wave equations with polynomial nonlinearities and perturbed by additive Gaussian noise in dimensions 2 and 3. We…
Ergodicity of a nonlinear stochastic reaction-diffusion equation with memory
Hung D. Nguyen
We consider a class of semi-linear differential Volterra equations with memory terms, polynomial nonlinearities and random perturbation. For a broad class of nonlinearities, we stu…
Gibbsian dynamics and the generalized Langevin equation
David P. Herzog, Jonathan C. Mattingly, Hung D. Nguyen
We study the statistically invariant structures of the nonlinear generalized Langevin equation (GLE) with a power-law memory kernel. For a broad class of memory kernels, including…
Stability and invariant measure asymptotics in a model for heavy particles in rough turbulent flows
David P. Herzog, Hung D. Nguyen
We study a system of Skorokhod stochastic differential equations (SDEs) modeling the pairwise dispersion (in spatial dimension ) of heavy particles transported by a rough self…
The generalized Langevin equation in harmonic potentials: Anomalous diffusion and equipartition of energy
Gustavo Didier, Hung D. Nguyen
We consider the generalized Langevin equation (GLE) in a harmonic potential with power law decay memory. We study the anomalous diffusion of the particle's displacement and velocit…
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…