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In this article we reconsider high Reynolds number boundary layer flows of fluids with viscoelastic properties. We show that a number of previous studies that have attempted to address this problem are, in fact, incomplete. We correctly…

Fluid Dynamics · Physics 2023-02-17 L. J. Escott , P. T. Griffiths

Investigating the network stability or synchronization dynamics of multi-agent systems with time delays is of significant importance in numerous real-world applications. Such investigations often rely on solving the transcendental…

Dynamical Systems · Mathematics 2025-01-08 Shijie Zhou , Yang Luan , Xuzhe Qian , Wei Lin

Travel time prediction is a well-renowned topic of research. It is primarily influenced by traffic congestion, road conditions and route geometry. Among them route geometry at any point is not investigated enough to find a sound spatial…

Computers and Society · Computer Science 2018-07-25 Muhammad Naeem , Mehdi Katranji , Guilhem Sanmarty , Sami Kraiem , Hamza Mahdi Zargayouna , Fouad Hadj Selem

We consider the distributed weight balancing problem in networks of nodes that are interconnected via directed edges, each of which is able to admit a positive integer weight within a certain interval, captured by individual lower and upper…

Systems and Control · Electrical Eng. & Systems 2019-07-10 Apostolos I. Rikos , Christoforos N. Hadjicostis

Time delays may cause dramatic changes to the dynamics of interacting oscillators. Coupled networks of interacting dynamical systems can behave unexpectedly when the signal between the vertices are time delayed. It has been shown for a very…

Chaotic Dynamics · Physics 2018-06-19 Alexandre Wagemakers , Miguel A. F. Sanjuán

In this paper we analyze a coupled system between a transport equation and an ordinary differential equation with time delay (which is a simplified version of a model for kidney blood flow control). Through a careful spectral analysis we…

Analysis of PDEs · Mathematics 2020-07-20 Serge Nicaise , Alessandro Paolucci , Cristina Pignotti

The purpose of this article is to study quasi linear parabolic partial differential equations of second order, posed on a bounded network, satisfying a nonlinear and non dynamical Neumann boundary condition at the vertices. We prove the…

Analysis of PDEs · Mathematics 2025-01-31 Isaac Ohavi

In this paper, we analyze asymptotic delay-throughput trade-offs in mobile ad-hoc networks comprising heterogeneous nodes with restricted mobility. We show that node spatial heterogeneity has the ability to drastically improve upon existing…

Performance · Computer Science 2008-07-09 Michele Garetto , Emilio Leonardi

We study the scheduling polices for asymptotically optimal delay in queueing systems with switching overhead. Such systems consist of a single server that serves multiple queues, and some capacity is lost whenever the server switches to…

Performance · Computer Science 2017-01-17 Ping-Chun Hsieh , I-Hong Hou , Xi Liu

Reliable functioning of supply and transport networks fundamentally support many non-equilibrium dynamical systems, from biological organisms and ecosystems to human-made water, gas, heat, electricity and traffic networks. Strengthening an…

Adaptation and Self-Organizing Systems · Physics 2022-05-31 Debsankha Manik , Dirk Witthaut , Marc Timme

This paper is concerned with a dynamic traffic network performance model, known as dynamic network loading (DNL), that is frequently employed in the modeling and computation of analytical dynamic user equilibrium (DUE). As a key component…

Optimization and Control · Mathematics 2015-03-24 Ke Han , Terry L. Friesz

We analyze stability of consensus algorithms in networks of multi-agents with time-varying topologies and delays. The topology and delays are modeled as induced by an adapted process and are rather general, including i.i.d.\ topology…

Dynamical Systems · Mathematics 2011-06-07 Wenlian Lu , Fatihcan M. Atay , Jurgen Jost

In this work, we shall consider the existence and uniqueness of stationary solutions to stochastic partial functional differential equations with additive noise in which a neutral type of delay is explicitly presented. We are especially…

Probability · Mathematics 2017-07-26 Kai Liu

Distributed roughness occurs on aerodynamic surfaces like wind/gas turbine blades and aircraft wings causing early boundary layer transition resulting in a reduction of the lift-to-drag ratio/power production. Despite being a recurring…

Fluid Dynamics · Physics 2023-02-21 Robin Joseph , P Phani Kumar , Sourabh S Diwan

Technologically driven transport systems are characterized by a networked structure connecting operation centers and by a dynamics ruled by pre-established schedules. Schedules impose serious constraints on the timing of the operations,…

Physics and Society · Physics 2013-01-30 Pablo Fleurquin , Jose J. Ramasco , Victor M. Eguiluz

This paper studies the problem of scheduling in single-hop wireless networks with real-time traffic, where every packet arrival has an associated deadline and a minimum fraction of packets must be transmitted before the end of the deadline.…

Networking and Internet Architecture · Computer Science 2010-07-12 Juan Jose Jaramillo , R. Srikant , Lei Ying

In this article we study networks of coupled dynamical systems with time-delayed connections. If two such networks hold different delays on the connections it is in general possible that they exhibit different dynamical behavior as well. We…

Dynamical Systems · Mathematics 2016-02-01 Leonhard Lücken , Jan Philipp Pade , Kolja Knauer

In this short review paper, we discuss the concept of time delay for an abstract quantum scattering system. Its definition in terms of sojourn times is explained as well as its identity with the so-called Eisenbud-Wigner time delay.…

Mathematical Physics · Physics 2011-03-22 S. Richard

This paper introduces a new method for assessing the boundedness and stability of certain vector nonlinear systems with delays and variable coefficients. The approach is based on developing scalar counterparts to the given vector systems.…

Optimization and Control · Mathematics 2024-10-29 Mark A. Pinsky

In this paper we consider random access wireless multi-hop mesh networks with multi-packet reception capabilities where multiple flows are forwarded to the gateways through node disjoint paths. We address the issue of aggregate…

Networking and Internet Architecture · Computer Science 2016-11-15 Manolis Ploumidis , Nikolaos Pappas , Apostolos Traganitis