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Navier–Stokes Equations01:28

Navier–Stokes Equations

For incompressible Newtonian fluids, where density remains constant, stresses show a linear relationship with the deformation rate, defined by normal and shear stresses. Normal stresses depend on the pressure exerted on the fluid and the rate of deformation in specific directions, which determines how fluid flows under varying pressures. Shear stresses, on the other hand, act tangentially across fluid layers. They explain how adjacent fluid layers slide relative to one another, connecting...
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Forced Oscillations01:06

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Damped Oscillations

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Related Experiment Video

Updated: Jun 5, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Control of gradient-driven instabilities using shear Alfvén beat waves.

D W Auerbach1, T A Carter, S Vincena

  • 1Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA.

Physical Review Letters
|January 15, 2011
PubMed
Summary

Scientists suppressed plasma instabilities using nonlinear interactions with Alfvén waves. This new technique controls unstable fluctuations by creating a beat wave that overrides the original instability.

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Evolution of Staircase Structures in Diffusive Convection
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Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

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Last Updated: Jun 5, 2026

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

Evolution of Staircase Structures in Diffusive Convection
07:28

Evolution of Staircase Structures in Diffusive Convection

Published on: September 5, 2018

Area of Science:

  • Plasma physics
  • Fluid dynamics
  • Wave phenomena

Background:

  • Gradient-driven instabilities are common in plasmas.
  • Controlling these instabilities is crucial for applications like fusion energy.
  • Alfvén waves are fundamental wave modes in magnetized plasmas.

Purpose of the Study:

  • To present a novel technique for manipulating gradient-driven plasma instabilities.
  • To investigate the nonlinear interaction between Alfvén waves and plasma instabilities.
  • To demonstrate control over unstable plasma fluctuations in a laboratory setting.

Main Methods:

  • Creating a narrow, field-aligned density depletion in the Large Plasma Device.
  • Launching two independent shear Alfvén waves at separate frequencies along the depletion.
  • Analyzing the nonlinear beat-wave response generated by the interaction.

Main Results:

  • Coherent, unstable fluctuations were observed on the periphery of the density depletion.
  • A nonlinear beat-wave response was generated at frequencies near the original instability.
  • Sufficiently large amplitude beat waves suppressed the original unstable mode, leaving a lower-amplitude beat-wave response.

Conclusions:

  • Nonlinear interaction with Alfvén waves offers a method for controlling gradient-driven plasma instabilities.
  • This technique successfully suppressed unstable plasma modes in a laboratory experiment.
  • The findings have implications for understanding and managing plasma behavior in various contexts.