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When a fluid comprised of multiple phases or constituents flows through a network, non-linear phenomena such as multiple stable equilibrium states and spontaneous oscillations can occur. Such behavior has been observed or predicted in a…

流体动力学 · 物理学 2015-06-05 Casey M. Karst , Brian D. Storey , John B. Geddes

We investigate the laminar flow of two-fluid mixtures inside a simple network of inter-connected tubes. The fluid system is comprised of two miscible Newtonian fluids of different viscosity which do not mix and remain as nearly distinct…

流体动力学 · 物理学 2015-03-05 Brian D. Storey , Deborah V. Hellen , Nathaniel J. Karst , John B. Geddes

Nonlinear phenomena including multiple equilibria and spontaneous oscillations are common in fluid networks containing either multiple phases or constituent flows. In many systems, such behavior might be attributed to the complicated…

动力系统 · 数学 2013-06-26 Nathaniel J. Karst , Brian D. Storey , John B. Geddes

Multistability-induced hysteresis has been widely studied in mechanical systems, but such behavior has proven more difficult to reproduce experimentally in flow networks. Natural flow networks like animal and plant vasculature can exhibit…

软凝聚态物质 · 物理学 2025-12-03 Lauren E. Altman , Nadia Aguilar , Douglas J. Durian , Miguel Ruiz-Garcia , Eleni Katifori

It is shown using numerical simulations that flow patterns around an obstacle potential moving in a superfluid exhibit hysteresis. In a certain velocity region, there is a bistability between stationary laminar flow and periodic vortex…

量子气体 · 物理学 2015-06-19 Tsuyoshi Kadokura , Jun Yoshida , Hiroki Saito

Many biological systems, such as metabolic pathways, exhibit bistability behavior: these biological systems exhibit two distinct stable states with switching between the two stable states controlled by certain conditions. Since…

定量方法 · 定量生物学 2013-07-04 Yi Ming Zou

Bistability and multistationarity are properties of reaction networks linked to switch-like responses and connected to cell memory and cell decision making. Determining whether and when a network exhibits bistability is a hard and open…

代数几何 · 数学 2018-12-20 Elisenda Feliu , Martin Helmer

We study the stability of two-fluid flow through a plane channel at Reynolds numbers of a hundred to a thousand in the linear and nonlinear regimes. The two fluids have the same density but different viscosities. The fluids, when miscible,…

流体动力学 · 物理学 2021-01-27 Kirti Chandra Sahu , Rama Govindarajan

Modern two dimensional conductors with low defect densities and strong electron-electron scattering are favorable platforms for formation of a viscous fluid of conduction electrons. Electric properties of these systems are determined by the…

介观与纳米尺度物理 · 物理学 2026-05-13 A. N. Afanasiev , P. S. Alekseev

We present experimental evidence of multiple blood flow configurations in a relatively simple microfluidic network under constant inlet conditions. We provide evidence of multistability and unsteady dynamics and find good agreement with a…

流体动力学 · 物理学 2024-10-08 Mathieu Alonzo , Nathaniel J. Karst , Thomas Podgorski , John B. Geddes , Gwennou Coupier

In this paper the motion of two-phase, incompressible, viscous fluids with surface tension is investigated. Three cases are considered: (1) the case of heat-conducting fluids, (2) the case of isothermal fluids, and (3) the case of Stokes…

偏微分方程分析 · 数学 2016-12-19 Gieri Simonett , Mathias Wilke

The appearence of a new type of fast nonlinear traveling wave states in binary fluid convection with increasing Soret effect is elucidated and the parameter range of their bistability with the common slower ones is evaluated numerically.…

patt-sol · 物理学 2009-10-30 St. Hollinger , P. Buechel , M. Luecke

We study certain significant properties of the equilibrium configurations of a rigid body subject to an undamped elastic restoring force, in the stream of a viscous liquid in an unbounded 3D domain. The motion of the coupled system is…

偏微分方程分析 · 数学 2024-06-07 Denis Bonheure , Giovanni P. Galdi , Filippo Gazzola

The stability of the interface separating two immiscible incompressible fluids of different densities and viscosities is considered in the case of fluids filling a cavity which performs horizontal harmonic oscillation. There exists a simple…

流体动力学 · 物理学 2009-10-31 Mikhail V. Khenner , Dmitrii V. Lyubimov , Tatyana S. Belozerova , Bernard Roux

A multicomponent extension of our recent theory of simple fluids [ U.M.B. Marconi and S. Melchionna, Journal of Chemical Physics, 131, 014105 (2009) ] is proposed to describe miscible and immiscible liquid mixtures under inhomogeneous, non…

统计力学 · 物理学 2011-02-11 Umberto Marini Bettolo Marconi , Simone Melchionna

We develop a lattice Boltzmann equation method for simulating multi-phase immiscible fluid flows with variation of density and viscosity, based on the model proposed by Gunstensen {\em et al} for two-component immiscible fluids. The…

comp-gas · 物理学 2009-10-22 Daryl Grunau , Shiyi Chen , Kenneth Egger

The dynamics of a multiplex heterogeneous network of oscillators is studied. Two types of similar models based on the Hodgkin-Huxley formalism are used as the basic elements of the networks. The first type model demonstrates bursting…

无序系统与神经网络 · 物理学 2021-06-03 Nataliya Stankevich

We consider a model of a binary mixture of two immiscible compressible fluids. We propose a numerical scheme and discuss its basic properties: Stability, consistency, convergence. The convergence is established via the method of generalized…

偏微分方程分析 · 数学 2022-02-02 Eduard Feireisl , Madalina Petcu , Bangwei She

In this paper, we prove the stability of viscosity solutions of the Hamilton--Jacobi equations for a sequence of networks embedded in Euclidean space. The network considered in this paper is not merely a graph -- it comprises a collection…

偏微分方程分析 · 数学 2023-04-27 Shimpei Makida

We investigate a minimal model for non-crystalline water, defined on a Husimi lattice. The peculiar random-regular nature of the lattice is meant to account for the formation of a random 4-coordinated hydrogen-bond network. The model turns…

软凝聚态物质 · 物理学 2015-05-19 Andrea Pagnani , Marco Pretti
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