Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Eulerian and Lagrangian Flow Descriptions01:22

Eulerian and Lagrangian Flow Descriptions

Fluid flow analysis is critical in many scientific and engineering disciplines, and two principal approaches are used to describe this flow: the Eulerian and Lagrangian methods. These methods offer different perspectives on monitoring and analyzing the motion of fluids, each with distinct advantages depending on the scenario.
The Eulerian method focuses on fixed points in space where fluid properties, such as velocity, pressure, and temperature, are observed as the fluid moves between these...
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...
Laminar and Turbulent Flow01:07

Laminar and Turbulent Flow

Fluid dynamics is the study of fluids in motion. Velocity vectors are often used to illustrate fluid motion in applications like meteorology. For example, wind—the fluid motion of air in the atmosphere—can be represented by vectors indicating the speed and direction of the wind at any given point on a map. Another method for representing fluid motion is a streamline. A streamline represents the path of a small volume of fluid as it flows. When the flow pattern changes with time, the streamlines...
Linear time-invariant Systems01:23

Linear time-invariant Systems

A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be calculated...
First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...
Center of Mass: Introduction01:03

Center of Mass: Introduction

Any object that obeys Newton's second law of motion is made up of a large number of infinitesimally small particles. Objects in motion can be as simple as atoms or as complex as gymnasts performing in the Olympics. The motion of such objects is described about a point called the center of mass of the object. The center of mass of an object is a point that acts as if the whole mass is concentrated at that point. The center of mass of an object with a large number of infinitesimally small...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Transforaminal Versus Lateral Lumbar Interbody Fusion: A Comprehensive Systematic Review and Meta-analysis of Radiographic, Perioperative, and Patient-Reported Outcomes.

The Journal of the American Academy of Orthopaedic Surgeons·2025
Same author

Long-term impact and biological recovery in a deep-sea mining track.

Nature·2025
Same author

Animal Models in Influenza Research.

Methods in molecular biology (Clifton, N.J.)·2025
Same author

GGCX promotes Eurasian avian-like H1N1 swine influenza virus adaption to interspecies receptor binding.

Nature communications·2025
Same author

In situ optical measurement of particles in sediment plumes generated by a pre-prototype polymetallic nodule collector.

Scientific reports·2024
Same author

A passive ankle dorsiflexion testing system to assess mechanobiological and structural response to cyclic loading in rat Achilles tendon.

Journal of biomechanics·2023
Same journal

Topological dependence of viral mutation spread in complex host-interaction networks.

Chaos (Woodbury, N.Y.)·2026
Same journal

Multifractal signatures of Hamiltonian chaos in Hyperion's rotational dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

Exploring mechanisms for reversal of flow in tunicate hearts.

Chaos (Woodbury, N.Y.)·2026
Same journal

State estimation in spatiotemporal chaos via low-rank StatFEM.

Chaos (Woodbury, N.Y.)·2026
Same journal

Universal response functions in driven dissipative tunneling dynamics.

Chaos (Woodbury, N.Y.)·2026
Same journal

A network-based approach to characterize the dynamics of the coupling field of thermoacoustic oscillators in annular geometry.

Chaos (Woodbury, N.Y.)·2026
See all related articles

Related Experiment Video

Updated: Jun 14, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Introduction to Focus Issue: Lagrangian Coherent Structures.

Thomas Peacock1, John Dabiri

  • 1Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Chaos (Woodbury, N.Y.)
|April 8, 2010
PubMed
Summary
This summary is machine-generated.

Lagrangian coherent structures (LCS) offer a rigorous method for identifying transport barriers in complex dynamical systems. This research introduces LCS and reviews recent advancements, particularly for fluid flow applications.

More Related Videos

Microtensiometer for Confocal Microscopy Visualization of Dynamic Interfaces
08:05

Microtensiometer for Confocal Microscopy Visualization of Dynamic Interfaces

Published on: September 9, 2022

Free-form Light Actuators — Fabrication and Control of Actuation in Microscopic Scale
08:17

Free-form Light Actuators — Fabrication and Control of Actuation in Microscopic Scale

Published on: May 25, 2016

Related Experiment Videos

Last Updated: Jun 14, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

Microtensiometer for Confocal Microscopy Visualization of Dynamic Interfaces
08:05

Microtensiometer for Confocal Microscopy Visualization of Dynamic Interfaces

Published on: September 9, 2022

Free-form Light Actuators — Fabrication and Control of Actuation in Microscopic Scale
08:17

Free-form Light Actuators — Fabrication and Control of Actuation in Microscopic Scale

Published on: May 25, 2016

Area of Science:

  • Nonlinear dynamics
  • Dynamical systems theory
  • Fluid mechanics

Background:

  • Lagrangian coherent structures (LCS) provide a robust framework for analyzing transport phenomena in time-dependent systems.
  • The concept of LCS has gained significant traction over the past decade due to its applicability in diverse scientific fields.
  • Identifying transport barriers is crucial for understanding system behavior and predicting flow patterns.

Discussion:

  • This work introduces the fundamental concepts of LCS.
  • It reviews recent research and novel methodologies in the field of LCS.
  • The discussion highlights the utility of LCS in analyzing complex fluid flows.

Key Insights:

  • LCS offer a rigorous mathematical approach to defining and detecting transport barriers.
  • Applications of LCS are particularly impactful in the study of fluid dynamics.
  • Recent advancements have expanded the capabilities and applications of LCS.

Outlook:

  • Future research directions in LCS are expected to further refine detection methods.
  • Continued exploration of LCS in fluid dynamics will likely yield new insights into complex flow behaviors.
  • The development of LCS theory promises broader applications across various scientific disciplines.