6 papers
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…
Harmonic Functions And Linear Elliptic Dirichlet Problems With Random Boundary Values--Stochastic Extensions Of Some Classical Theorems And Estimates
Steven D Miller
Let be a harmonic function such that for all . There are then many well-established class…
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…
Stochastic Control of Tolman-Oppenheimer-Snyder Collapse of Zero-Pressure Stars to Black Holes: Rigorous Criteria for Density Bounds and Singularity Smoothing
Steven D Miller
The Tolman-Oppenheimer-Snyder description gives exact analytical solutions for an Einstein-matter system describing total gravitational collapse of a zero-pressure perfect-fluid sp…
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…
Downburst Prediction Applications of GOES over the Western United States
Kenneth L. Pryor, Steven D. Miller
Over the western United States, the hazards posed to aviation operations by convective storm-generated downbursts have been extensively documented. Other significant hazards posed…