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This paper establishes a data-driven modeling framework for lean Hydrogen (H2)-air reaction rates for the Large Eddy Simulation (LES) of turbulent reactive flows. This is particularly challenging since H2 molecules diffuse much faster than…

计算工程、金融与科学 · 计算机科学 2025-02-19 Quentin Malé , Corentin J Lapeyre , Nicolas Noiray

In nonlinear systems, small perturbations are conventionally attributed to negligible nonlinearity, justifying linear approximations. Here, we uncover a notable exception to this paradigm in an electrokinetic (EK) flow. Using a novel dual…

流体动力学 · 物理学 2026-04-16 Jin'an Pang , Guangyin Jing , Xiaoqiang Feng , Kaige Wang , Wei Zhao

With the recent wave of digitalization, specifically in the context of safety-critical applications, there has been a growing need for computationally efficient, accurate, generalizable, and trustworthy models. Physics-based models have…

数值分析 · 数学 2023-09-20 Sondre Sørbø , Sindre Stenen Blakseth , Adil Rasheed , Trond Kvamsdal , Omer San

This paper presents a convex optimization-based solution to the design of state-feedback controllers for solving the linear quadratic regulator (LQR) problem of uncertain discrete-time systems with multiplicative noise. To synthesize a…

系统与控制 · 电气工程与系统科学 2022-05-17 Majid Mazouchi , Farzaneh Tatari , Hamidreza Modares

A novel Y-shaped membraneless flow-through electrolyzer is introduced to achieve a homogeneous electrochemical reaction across the entire electrode in a cost-efficient cell design with effective product separation. Numerical simulations of…

We study the mixed-integer quadratic programming formulation of an $n$-period hybrid control problem with a convex quadratic cost function and linear dynamics. We first give the convex hull description of the single-period, two-mode problem…

最优化与控制 · 数学 2024-12-17 Jisun Lee , Hyungki Im , Alper Atamtürk

In this work, we examine metal electrode-ionomer electrolyte systems at high voltage / negative surface charge and at high pH to assess factors that influence hydrogen production efficiency. We simulate the hydrogen evolution electrode…

化学物理 · 物理学 2019-09-04 Reese E. Jones , William C. Tucker , Matthew J. L. Mills , Sanjeev Mukerjee

We present a geometrical analysis on the completely positive programming reformulation of quadratic optimization problems and its extension to polynomial optimization problems with a class of geometrically defined nonconvex conic programs…

最优化与控制 · 数学 2019-01-09 Sunyoung Kim , Masakazu Kojima , Kim-Chuan Toh

Infinite-dimensional linear conic formulations are described for nonlinear optimal control problems. The primal linear problem consists of finding occupation measures supported on optimal relaxed controlled trajectories, whereas the dual…

最优化与控制 · 数学 2014-07-08 Didier Henrion , Edouard Pauwels

The embedding of the equations of polyconvex elastodynamics to an augmented symmetric hyperbolic system provides in conjunction with the relative entropy method a robust stability framework for approximate solutions. We devise here a model…

偏微分方程分析 · 数学 2017-03-09 Athanasios E. Tzavaras

The computer-assisted modeling of re-entrant production lines, and, in particular, simulation scalability, is attracting a lot of attention due to the importance of such lines in semiconductor manufacturing. Re-entrant flows lead to…

动力系统 · 数学 2009-11-11 Y. Zou , I. G. Kevrekidis , D. Armbruster

Harmonic model predictive control (HMPC) is a model predictive control (MPC) formulation which displays several benefits over other MPC formulations, especially when using a small prediction horizon. These benefits, however, come at the…

最优化与控制 · 数学 2022-11-16 Pablo Krupa , Daniel Limon , Alberto Bemporad , Teodoro Alamo

Though the convex optimization has been widely used in power systems, it still cannot guarantee to yield a tight (accurate) solution to some problems. To mitigate this issue, this paper proposes an ensemble learning based convex…

系统与控制 · 电气工程与系统科学 2020-05-18 Ren Hu , Qifeng Li , Feng Qiu

Expansion of natural gas networks is a critical process involving substantial capital expenditures with complex decision-support requirements. Given the non-convex nature of gas transmission constraints, global optimality and infeasibility…

计算工程、金融与科学 · 计算机科学 2015-06-25 Conrado Borraz-Sanchez , Russell Bent , Scott Backhaus , Hassan Hijazi , Pascal Van Hentenryck

Model reduction is a central topic in systems biology and dynamical systems theory, for reducing the complexity of detailed models, finding important parameters, and developing multi-scale models for instance. While perturbation theory is a…

分子网络 · 定量生物学 2014-01-27 Sylvain Soliman , Francois Fages , Ovidiu Radulescu

Flexible transmission line impedances on one hand are a promising control resource for facilitating grid flexibility, but on the other hand add much complexity to the concerned optimization problems. This paper develops a convexification…

最优化与控制 · 数学 2022-04-12 Yue Song , David J. Hill , Tao Liu , Tianlun Chen

In recent years, developments in plug in hybrid electric vehicles have provided various environmental and economic advantages. In the future smart grids, electric vehicles are seen as an important means of transportation to reduce…

最优化与控制 · 数学 2018-02-13 Shanxuei Chen , Elizabeth Olivioufski , Braian Dods , Mohammd Hamdi

Experimental results from mechanical viscoelastic as well as dielectric relaxation times were compared to theoretical expectations utilizing polymer scaling theory. Viscoelastic relaxation of a hydrogel at 33% relative humidity fabricated…

软凝聚态物质 · 物理学 2025-08-22 Jorge Monreal

A new framework is introduced for constructing interpretable and truly reliable reduced models for multiscale problems in situations without scale separation. Hydrodynamic approximation to the kinetic equation is used as an example to…

计算物理 · 物理学 2019-10-31 Jiequn Han , Chao Ma , Zheng Ma , Weinan E

Hyperbolic spaces have increasingly been recognized for their outstanding performance in handling data with inherent hierarchical structures compared to their Euclidean counterparts. However, learning in hyperbolic spaces poses significant…

机器学习 · 计算机科学 2024-05-28 Sheng Yang , Peihan Liu , Cengiz Pehlevan