Results 61 to 70 of about 661,238 (311)

Stochastic Differential Games and a Unified Forward–Backward Coupled Stochastic Partial Differential Equation with Lévy Jumps

Mathematics
We establish a relationship between stochastic differential games (SDGs) and a unified forward–backward coupled stochastic partial differential equation (SPDE) with discontinuous Lévy Jumps. The SDGs have q players and are driven by a general-dimensional
Wanyang Dai
doaj   +1 more source

Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds [PDF]

arXiv, 2012
We formulate stochastic partial differential equations on Riemannian manifolds, moving surfaces, general evolving Riemannian manifolds (with appropriate assumptions) and Riemannian manifolds with random metrics, in the variational setting of the analysis to stochastic partial differential equations.
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, Paul‐Felix Hagen, Simon Albers, Robin Rofallski, Sven Schwabe, Mohammed Dagher, Marco Lukas, Sebastian Leineweber, Benjamin Klie, Patrick Schneider, Hagen Bossemeyer, Lennart Hinz, Markus Kästner, Birger Reitz, Eduard Reithmeier, Thomas Luhmann, Hainer Wackerbarth, Ludger Overmeyer, Ulrich Giese   +18 more
wiley   +1 more source

Random attractors for locally monotone stochastic partial differential equations [PDF]

J. Differential Equations 269 (2020), 3414-3455, 2019
We prove the existence of random dynamical systems and random attractors for a large class of locally monotone stochastic partial differential equations perturbed by additive L\'{e}vy noise. The main result is applicable to various types of SPDE such as stochastic Burgers type equations, stochastic 2D Navier-Stokes equations, the stochastic 3D Leray ...
arxiv  

Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]

arXiv, 2020
Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv  

Stochastic differential games involving impulse controls and double-obstacle quasi-variational inequalities

, 2012
We study a two-player zero-sum stochastic differential game with both players adopting impulse controls, on a finite time horizon. The Hamilton-Jacobi-Bellman-Isaacs (HJBI) partial differential equation of the game turns out to be a double-obstacle quasi-
Cosso, Andrea
core   +1 more source

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, Gorkem Anil Al, Nael Berri, Bernardo Castro‐Dominguez, Hannah S. Leese, Uriel Martinez‐Hernandez   +5 more
wiley   +1 more source

Application of the Tanh–Coth and HSI methods in deriving exact analytical solutions for the STFKS equation

Frontiers in Applied Mathematics and Statistics
The stochastic time-fractional Kuramoto–Sivashinsky (STFKS) equation models a wide range of physical phenomena involving spatio-temporal instabilities and noise-driven dynamics.
Abaker A. Hassaballa, Abaker A. Hassaballa, Elzain A. E. Gumma, Ahmed M. A. Adam, Omer M. A. Hamed, Ali Satty, Mohyaldein Salih, Faroug A. Abdalla, Zakariya M. S. Mohammed, Zakariya M. S. Mohammed   +9 more
doaj   +1 more source

Stochastic Maximum Principle for a PDEs with noise and control on the boundary

, 2011
In this paper we prove necessary conditions for optimality of a stochastic control problem for a class of stochastic partial differential equations that is controlled through the boundary.
Guatteri, Giuseppina
core   +1 more source

An Ontology‐Augmented Digital Twin for Fiber‐Reinforced Polymer Structures at the Example of Wind Turbine Rotor Blades

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, Alexander Seidel, Ursula Pähler, Sebastian Schröck, Peter Hofmann, Sebastian Kölbl, Klaus Drechsler   +6 more
wiley   +1 more source