• Corpus ID: 244102626

Dynamical transition of hydromagnetic convection in a rotating fluid layer

@inproceedings{Li2021DynamicalTO,
  title={Dynamical transition of hydromagnetic convection in a rotating fluid layer},
  author={Liang Li and Yanlong Fan and Daozhi Han and Quan Wang},
  year={2021}
}
In this article, we aim to study the stability and dynamic transition of an electrically conducting fluid in the presence of an external uniform horizontal magnetic field and rotation based on a Boussinesq approximation model. By analyzing the spectrum of the linear part of the model and verifying the validity of the principle of exchange of stability, we take a hybrid approach combining theoretical analysis with numerical computation to study the transition from a simple real eigenvalue, a… 

References

SHOWING 1-10 OF 45 REFERENCES
Convective stability of a rotating conducting fluid layer in an external magnetic field
The stability of the rest state of a conducting incompressible fluid forming a horizontal layer with rigid dielectric boundaries heated from below and rotating about a vertical axis, with a vertical
Overstable hydromagnetic convection in a rotating fluid layer
The effect of the simultaneous action of a uniform magnetic field and a uniform angular velocity on the linear stability of the Bénard layer to time-dependent convective motions is examined in the
Stratified rotating Boussinesq equations in geophysical fluid dynamics: Dynamic bifurcation and periodic solutions
The main objective of this article is to study the dynamics of the stratified rotating Boussinesq equations, which are a basic model in geophysical fluid dynamics. First, for the case where the
Dynamic transition theory for thermohaline circulation
The onset of magnetoconvection at large Prandtl number in a rotating layer I. Finite magnetic diffusion
Abstract This paper develops further a convection model that has been studied several times previously as a very crude idealization of planetary core dynamics. A plane layer of
On the viscous instabilities and transitions of two-layer model with a layered topography
The onset of magnetoconvection at large Prandtl number in a rotating layer II. Small magnetic diffusion
Abstract This paper develops further a convection model that has been studied several times previously as a very crude idealization of planetary core dynamics. A plane layer of
Transitions near the onset of low Prandtl-number rotating magnetoconvection
We investigate the onset of convective instability and subsequent transitions near it in Rayleigh-Benard convection (RBC) of electrically conducting low Prandtl-number (Pr) fluids in the simultaneous
On the Instabilities and Transitions of the Western Boundary Current
  • Daozhi Han
  • Mathematics
    Communications in Computational Physics
  • 2019
We study the stability and dynamic transitions of the western boundary currents in a rectangular closed basin. By reducing the infinite dynamical system to a finite dimensional one via center
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