Analytical and numerical solutions to an electrohydrodynamic stability problem

DOI10.1016/j.amc.2010.05.028zbMath1197.78006OpenAlexW2022151900MaRDI QIDQ988630

F. I. Dragomirescu, Călin-Ioan Gheorghiu

Publication date: 18 August 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.05.028

zbMATH Keywords

spectral methodshinged boundary conditionsbifurcation manifoldsdirect analytical methodsFourier type methodshigh order eigenvalue problemslinear hydrodynamic stability

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Electromagnetic theory (general) (78A25)

Related Items (5)

On behavior of solutions to a class of nonlinear hyperbolic inverse source problem ⋮ Spectral collocation solutions to systems of boundary layer type ⋮ Exact analytical solutions of the wave function for some \(q\)-deformed potentials ⋮ Blow-up analysis for a class of higher-order viscoelastic inverse problem with positive initial energy and boundary feedback ⋮ Spectral collocation solutions to multiparameter Mathieu's system

Uses Software

• Differentiation Matrix Suite

Cites Work

• Hydrodynamic stability, the Chebyshev tau method and spurious eigenvalues
• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• Spectral methods in linear stability. Applications to thermal convection with variable gravity field
• A modified tau spectral method that eliminates spurious eigenvalues
• Neutral thermal hydrodynamic and hydromagnetic stability -- hypersurfaces for a micropolar fluid layer
• The pseudospectral method for solving differential eigenvalue problems
• Stability and transition in shear flows
• A Legendre spectral element method for eigenvalues in hydrodynamic stability
• Bifurcation and numerical study in an EHD convection problem
• The Pseudospectral Method for Third-Order Differential Equations
• Spectral Methods
• ELECTROHYDRODYNAMIC CONVECTION
• Electroconvective Instability with a Stabilizing Temperature Gradient. I. Theory
• Accurate solution of the Orr–Sommerfeld stability equation
• Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems
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