Results 71 to 80 of about 732,831 (345)
Stability theorems for stochastic differential equations driven by G-Brownian motion [PDF]
arXiv, 2011 In this paper, stability theorems for stochastic differential equations and backward stochastic differential equations driven by G-Brownian motion are obtained. We show the existence and uniqueness of solutions to forward-backward stochastic differential equations driven by G-Brownian motion.
arxiv
Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions
, 2007 A microscopic heterogeneous system under random influence is considered. The randomness enters the system at physical boundary of small scale obstacles as well as at the interior of the physical medium.
A. Bensoussan +54 more
core +2 more sources
Approximations of Stochastic Partial Differential Equations [PDF]
arXiv, 2014 In this paper we show that solutions of stochastic partial differential equations driven by Brownian motion can be approximated by stochastic partial differential equations forced by pure jump noise/random kicks. Applications to stochastic Burgers equations are discussed.
arxiv
Smart Rubber Extrusion Line Combining Multiple Sensor Techniques for AI‐Based Process Control
Advanced Engineering Materials, Volume 27, Issue 8, April 2025.This publication presents a digitalization approach for a laboratory rubber extrusion line, employing innovative measurement methods and artificial intelligence (AI)‐based process control. The results demonstrate that the measurement systems are capable of detecting changes in the process and extrudate quality.
Alexander Aschemann +18 more
wiley +1 more source
SoftwareX, 2018 Stochastic simulations commonly require random process generation with a predefined probability density function (PDF) and an exponential autocorrelation function (ACF).
D. Bykhovsky
doaj
Variational Principles for Stochastic Soliton Dynamics
, 2016 We develop a variational method of deriving stochastic partial differential equations whose solutions follow the flow of a stochastic vector field.
Holm, DD, Tyranowski, TM
core +1 more source
Remarks on Stochastic Systems I: Markov properties, local and global uniqueness, and limits of stochastic equations [PDF]
arXiv, 2022 In the present paper, we give some examples of stochastic differential equations which have delicateness in the Markov and strong Markov properties, the uniqueness locally in time and globally in time, and initial conditions. Moreover, we show that such stochastic differential equations appear in the limits of stochastic differential equations which ...
arxiv
Electrospinning Technology, Machine Learning, and Control Approaches: A Review
Advanced Engineering Materials, Volume 27, Issue 7, April 2025.Electrospinning produces micro‐ and nanoscale fibers, holding great promise in biomedical engineering. Industrial adoption faces challenges in controlling fiber properties, reproducibility, and scalability. This review explores electrospinning techniques, modeling, and machine learning for process optimization.
Arya Shabani +5 more
wiley +1 more source
General Matrix-Valued Inhomogeneous Linear Stochastic Differential Equations and Applications [PDF]
arXiv, 2008 The expressions of solutions for general $n\times m$ matrix-valued inhomogeneous linear stochastic differential equations are derived. This generalizes a result of Jaschke (2003) for scalar inhomogeneous linear stochastic differential equations. As an application, some $\R^n$ vector-valued inhomogeneous nonlinear stochastic differential equations are ...
arxiv
Advanced Engineering Materials, Volume 27, Issue 8, April 2025.A methodology for establishing an ontology‐augmented structural digital twin for fiber‐reinforced polymer structures dedicated to individual lifetime prediction, in this case, a wind turbine rotor blade, is introduced. The methodology resembles the manufacturing as well as the operation of the structure.
Marc Luger +6 more
wiley +1 more source