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We study a continuous time stochastic optimal control problem under partial observations that are available only at discrete time instants. This hybrid setting, with continuous dynamics and intermittent noisy measurements, arises in…

Optimization and Control · Mathematics 2026-01-01 Christian Bayer , Saifeddine Ben naamia , Erik von Schwerin , Raul Tempone

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

The development of efficient artificial nanodevices poses challenges which are of fundamental and technological nature. Recent progress has been made in the context of finite-time thermodynamics. A central question in finite-time…

Statistical Mechanics · Physics 2014-03-18 Mario Einax

Recent works have reported on the collective behavior of multiphase systems under fractional flow. Such behavior has been linked to pressure and/or flux fluctuations under stationary flow conditions that occur over a broad range of…

Fluid Dynamics · Physics 2025-02-18 Dick Bedeaux , Signe Kjelstrup , Steffen Berg , Umar Alfazazi , Ryan T. Armstrong

This paper presents a method for modeling transient fluid flow in subsurface reservoir systems based on the developed neural operator architecture (TFNO-opt). Reservoir systems are complex dynamic objects with distributed parameters…

Machine Learning · Computer Science 2025-10-21 Daniil D. Sirota , Sergey A. Khan , Sergey L. Kostikov , Kirill A. Butov

Exploiting a fluid dynamic formulation for which a probabilistic counterpart might not be available, we extend the theory of Schroedinger bridges to the case of inertial particles with losses and general, possibly singular diffusion…

Mathematical Physics · Physics 2014-10-08 Yongxin Chen , Tryphon T. Georgiou , Michele Pavon

We present a Model Predictive Control (MPC) algorithm for energy management in aircraft with hybrid electric propulsion systems consisting of gas turbine and electric motor components. Series and parallel configurations are considered. By…

Optimization and Control · Mathematics 2022-06-13 Martin Doff-Sotta , Mark Cannon , Marko Bacic

We report on recent work on adaptive timestep control for weakly instationary gas flows [16, 18, 17] carried out within SFB 401, TPA3. The method which we implement and extend is a space-time splitting of adjoint error representations for…

Numerical Analysis · Mathematics 2014-05-22 Sebastian Noelle , Christina Steiner

We study the optimal control of storage which is used for both arbitrage and buffering against unexpected events, with particular applications to the control of energy systems in a stochastic and typically time-heterogeneous environment.…

Optimization and Control · Mathematics 2015-09-22 James Cruise , Stan Zachary

This paper is concerned with correlation functions of stochastic systems with memory, a prominent example being a molecule or colloid moving through a complex (e.g., viscoelastic) fluid environment. Analytical investigations of such systems…

Soft Condensed Matter · Physics 2021-02-24 Timo J. Doerries , Sarah A. M. Loos , Sabine H. L. Klapp

This paper presents a millisecond-level look-ahead control algorithm for energy storage with constant space complexity and worst-case linear run-time complexity. The algorithm connects the optimal control with the Lagrangian multiplier…

Optimization and Control · Mathematics 2019-12-13 Bolun Xu , Magnus Korpas , Audun Botterud , Francis O'Sullivan

Many real-world problems require sequential decisions under uncertainty: when to inject or withdraw gas from storage, how to rebalance a pension portfolio each month, what temperature profile to run through a pharmaceutical reactor chain.…

Machine Learning · Computer Science 2026-05-08 Dmitri Goloubentsev , Natalija Karpichina

In this paper, a third-order time adaptive algorithm with less computation, low complexity is provided for shale reservoir model based on coupled fluid flow with porous media flow. The algorithm combines the three-step linear time filters…

Numerical Analysis · Mathematics 2024-07-26 Jian Li , Lele Chen , Yi Qin , Zhangxin Chen

Episodic control enables sample efficiency in reinforcement learning by recalling past experiences from an episodic memory. We propose a new model-based episodic memory of trajectories addressing current limitations of episodic control. Our…

Machine Learning · Computer Science 2021-11-09 Hung Le , Thommen Karimpanal George , Majid Abdolshah , Truyen Tran , Svetha Venkatesh

In this paper, we investigate optimal control problems for a nonlinear state system which constitutes a version of the Caginalp phase field system modeling nonisothermal phase transitions with a nonconserved order parameter that takes…

Optimization and Control · Mathematics 2022-07-28 Pierluigi Colli , Gianni Gilardi , Andrea Signori , Jürgen Sprekels

The calibration of a reservoir model with observed transient data of fluid pressures and rates is a key task in obtaining a predictive model of the flow and transport behaviour of the earth's subsurface. The model calibration task, commonly…

Machine Learning · Computer Science 2019-06-13 Lukas Mosser , Olivier Dubrule , Martin J. Blunt

Due to critical environmental issues, the power systems have to accommodate a significant level of penetration of renewable generation which requires smart approaches to the power grid control. Associated optimal control problems are…

Optimization and Control · Mathematics 2020-01-30 Juraj Kardos , Drosos Kourounis , Olaf Schenk

We propose an open-boundary molecular dynamics method in which an atomistic system is in contact with an infinite particle reservoir at constant temperature, volume and chemical potential. In practice, following the Hamiltonian adaptive…

Statistical Mechanics · Physics 2020-06-24 Maziar Heidari , Kurt Kremer , Ramin Golestanian , Raffaello Potestio , Robinson Cortes-Huerto

One issue limiting the adaption of large-scale multi-region segmentation is the sometimes prohibitive memory requirements. This is especially troubling considering advances in massively parallel computing and commercial graphics processing…

Computer Vision and Pattern Recognition · Computer Science 2015-02-02 John S. H. Baxter , Martin Rajchl , Jing Yuan , Terry M. Peters

In this study, a magnetohydrodynamic model is developed to study the dynamics of vortices driven by edge-current. Two modeled equations for fluid and magnetic field variables are each transformed into diffusion equation for vorticity and…

Fluid Dynamics · Physics 2024-05-07 Rabiu Musah
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