5 citations · 5 across the 3 of their papers we have counts for
4 papers · 1 filter
Existence and higher regularity of statistically steady states for the stochastic Coleman-Gurtin equation
Nathan E. Glatt-Holtz, Vincent R. Martinez, Hung D. Nguyen
We study a class of semi-linear differential Volterra equations with polynomial-type potentials that incorporates the effects of memory while being subjected to random perturbation…
Sensitivity of steady states in a degenerately-damped stochastic Lorenz system
Juraj Foldes, Nathan E. Glatt-Holtz, David P. Herzog
We study stability of solutions for a randomly driven and degenerately damped version of the Lorenz '63 model. Specifically, we prove that when damping is absent in one of the temp…
On the convergence of stationary solutions in the Smoluchowski-Kramers approximation of infinite dimensional systems
Sandra Cerrai, Nathan Glatt-Holtz
We prove the convergence, in the small mass limit, of statistically invariant states for a class of semi-linear damped wave equations, perturbed by an additive Gaussian noise, both…
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…