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Time-delayed control in a balancing problem may be a nonsmooth function for a variety of reasons. In this paper we study a simple model of the control of an inverted pendulum by either a connected movable cart or an applied torque for which…

Dynamical Systems · Mathematics 2015-05-27 David J. W. Simpson , Rachel Kuske , Yue-Xian Li

The frictional forces of a viscous liquid flow are a major energy loss issue and severely limit microfluidics practical use. Reducing this drag by more than a few tens of percent remain illusive. Here, we show how cylindrical…

Applied Physics · Physics 2021-10-04 Arvind Arun Dev , Peter Dunne , Thomas M. Hermans , Bernard Doudin

We study the rheological behaviour of a dense bidispersed suspension varying the relative size of the two dispersed phases. The main outcome of our analysis is that an enhanced flowability (reduced relative viscosity) of the suspension can…

Soft Condensed Matter · Physics 2023-02-21 Alessandro Monti , Marco Edoardo Rosti

A simple model for the reaction-driven propulsion of a small device is proposed as a model for (part of) a molecular machine in aqueous media. Motion of the device is driven by an asymmetric distribution of reaction products. The propulsive…

Soft Condensed Matter · Physics 2009-11-13 Ramin Golestanian , Tanniemola B. Liverpool , Armand Ajdari

A major impediment to a more complete understanding of barrier crossing and other single-molecule processes is the inability to directly visualize the trajectories and dynamics of atoms and molecules in reactions. Rather, the kinetics are…

Chemical Physics · Physics 2018-03-29 Patrick Figliozzi , Curtis W. Peterson , Stuart A. Rice , Norbert F. Scherer

We predict a novel flow regime in liquid metals under the influence of a magnetic field. It is characterised by long periods of nearly steady, two-dimensional flow interrupted by violent three-dimensional bursts. Our prediction has been…

Fluid Dynamics · Physics 2008-12-09 Thomas Boeck , Dmitry Krasnov , Andre Thess , Oleg Zikanov

The velocity of a two-dimensional aqueous foam has been measured as it flows through two parallel channels, at a constant overall volumetric flow rate. The flux distribution between the two channels is studied as a function of the ratio of…

Fluid Dynamics · Physics 2013-09-11 Sian A. Jones , Benjamin Dollet , Yves Méheust , Simon J. Cox , Isabelle Cantat

Manipulating deformable objects arises in daily life and numerous applications. Despite phenomenal advances in industrial robotics, manipulation of deformable objects remains mostly a manual task. This is because of the high number of…

Robotics · Computer Science 2024-01-31 Burak Aksoy , John Wen

The problem of reconstructing the time dependence of the dynamic pressure of a plasma jet impinging on one end of a solid rod based on the measured displacement of the opposite end has been solved. This solution allows for a reduction in…

Plasma Physics · Physics 2025-11-12 Evgeny Kolesnikov , Igor Kotelnikov , Vadim Prikhodko

The process of one fluid pushing another is universally common while involving complex interfacial instabilities. Particularly, occurring in a myriad of natural and industrial processes, wavy fingering patterns frequently emerge when a less…

Fluid Dynamics · Physics 2022-05-18 Alban Pouplard , Peichun Amy Tsai

We study a gas network flow regulation control problem showing the closed-loop consequences of using interconnected component models, which have been designed to preserve a variant of mass flow conservation without the inclusion of…

Systems and Control · Electrical Eng. & Systems 2022-11-15 Sven Brüggemann , Robert H. Moroto , Robert R. Bitmead

In this paper we study the locomotion of a shape-changing body swimming in a two-dimensional perfect fluid of infinite extent. The shape-changes are prescribed as functions of time satisfying constraints ensuring that they result from the…

Optimization and Control · Mathematics 2009-10-29 Thomas Chambrion , Alexandre Munnier

Manipulation of light-induced magnetization has become a fundamentally hot topic with a potentially high impact for atom trapping, confocal and magnetic resonance microscopy, and data storage. The control of the magnetization orientation…

Optics · Physics 2022-01-19 Weichao Yan , Zhongquan Nie , Xunwen Zeng , Guohong Dai , Yun Shen , Xiaohua Deng

Optic flow is two dimensional, but no special qualities are attached to one or other of these dimensions. For binocular disparity, on the other hand, the terms 'horizontal' and 'vertical' disparities are commonly used. This is odd, since…

Neurons and Cognition · Quantitative Biology 2018-08-14 Andrew Glennerster , Jenny C. A. Read

We investigate the evaporation of a two-dimensional droplet on a solid surface. The solid is flat but with smooth chemical variations that lead to a space-dependent local contact angle. We perform a detailed bifurcation analysis of the…

Fluid Dynamics · Physics 2021-03-31 Michael Ewetola , Rodrigo Ledesma-Aguilar , Marc Pradas

We propose to identify directions invariant to a given classifier so that these directions can be controlled in tasks such as style transfer. While orthogonal decomposition is directly identifiable when the given classifier is linear, we…

Machine Learning · Computer Science 2022-01-28 Yilun Xu , Hao He , Tianxiao Shen , Tommi Jaakkola

Optical trapping can be used to manipulate the three-dimensional (3-D) motion of spherical particles based on the simple prediction of optical forces and the responding motion of samples. However, controlling the 3-D behaviour of…

Optics · Physics 2017-06-28 Kyoohyun Kim , YongKeun Park

To understand the mechanics of a complex fluid such as a foam we propose a model experiment (a bidimensional flow around an obstacle) for which an external sollicitation is applied, and a local response is measured, simultaneously. We…

Soft Condensed Matter · Physics 2009-11-10 Benjamin Dollet , Miguel Aubouy , Francois Graner

We consider the controllability problem for the continuity equation, corresponding to neural ordinary differential equations (ODEs), which describes how a probability measure is pushedforward by the flow. We show that the controlled…

Optimization and Control · Mathematics 2022-05-20 Karthik Elamvazhuthi , Bahman Gharesifard , Andrea Bertozzi , Stanley Osher

We provide evidence that plastic depinning falls into the same class of phenomena as the random organization which was recently studied in periodically driven particle systems [L. Corte et al., Nature Phys. 4, 420 (2008)]. In the plastic…

Statistical Mechanics · Physics 2015-05-13 C. Reichhardt , C. J. Olson Reichhardt