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A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field
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Lanxi Xu
Published/Copyright:
July 29, 2016
Abstract
Nonlinear stability of the motionless state of the second-order fluid in porous medium in presence of magnetic field is studied by the Lyapunov’s second method. Through defining a Lyapunov function we will prove the inhibiting effect of the magnetic field on the onset of convection. If the Chandrasekhar number is below a computable constant depending on system parameters, we even prove the coincidence of linear and nonlinear stability boundary. Moreover, the medium permeability has a destabilizing effect.
Published Online: 2016-7-29
Published in Print: 2005-5-1
© 2016 Oldenbourg Wissenschaftsverlag GmbH, Rosenheimer Str. 145, 81671 München
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- A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field
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Keywords for this article
second-order fluid;
nonlinear stability;
porous medium;
magnetic field;
Lyapunov function
Articles in the same Issue
- Masthead
- A nonlinear-stability analysis of second-order fluid in porous medium in presence of magnetic field
- Convergence rate for some additive function on random permutations
- The converse of the Fabry-Pólya theorem on singularities of lacunary power series
- On meromorphic functions that share one value with their derivative
- Interrelations Between the Taylor Coefficients of a Matricial Carathéodory Function and Its Cayley Transform
- Domains of uniform convergence of real rational chebyshev approximants
- Regular statistical convergence of multiple sequences
