3 papers
math.PR2021
Stochastic Cauchy Initial Value Formulation Of The Heat Equation For Random Field Initial Data: Smoothing, Harnack-Type Bounds And p-Moments
Steven D Miller
The following stochastic Cauchy initial-value problem is studied for the parabolic heat equation on a domain with random field initial data. \b…
physics.ao-ph2020
Development and Interpretation of a Neural Network-Based Synthetic Radar Reflectivity Estimator Using GOES-R Satellite Observations
Kyle A. Hilburn, Imme Ebert-Uphoff, Steven D. Miller
The objective of this research is to develop techniques for assimilating GOES-R Series observations in precipitating scenes for the purpose of improving short-term convective-scale…
math-ph2019
Stochastic Averaging of The Einstein Vacuum Equations on a Toroidal Manifold with Randomly Perturbed Radial Moduli: Stability Criteria and Induced 'Cosmological Constant' Terms
Steven D Miller
The Einstein vacuum equations on an (n+1)-dimensional toroidal manifold reduce to a system of n-dimensional nonlinear ODEs in…