Stability, Instability, and Bifurcation in Electrified Thin Films

DOI10.1137/15M1010762zbMath1386.35179OpenAlexW2507269521MaRDI QIDQ3188320

Hyung-Ju Hwang, Marco Antonio Fontelos, Young Min Oh

Publication date: 19 August 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1010762

zbMATH Keywords

stabilityinstabilitybifurcationthin filmnonconstant steady state

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Thin fluid films (76A20) Magnetohydrodynamics and electrohydrodynamics (76W05) Bifurcations in context of PDEs (35B32) Higher-order parabolic equations (35K25)

Cites Work

• Unnamed Item
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• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• Finite-time blow-up of solutions of some long-wave unstable thin film equations
• The Shape of Charged Drops over a Solid Surface and Symmetry-Breaking Instabilities
• Long-wave instabilities and saturation in thin film equations
• Instability of periodic BGK equilibria
• Nonlinear Dynamics of Electrified Thin Liquid Films

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