Rayleigh-Taylor instability of steady fronts described by the Kuramoto-Sivashinsky equation

DOI10.1063/1.4883500zbMath1345.35078OpenAlexW2039254780WikidataQ51071144 ScholiaQ51071144MaRDI QIDQ2821566

Desiderio A. Vasquez, P. M. Vilela

Publication date: 21 September 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/f5028a79b1368d6b3b28989b28894d7c5acb85d9

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Absolute and convective instability and stability in hydrodynamic stability (76E15)

Related Items (2)

Diffusive instabilities and spatial patterning from the coupling of reaction–diffusion processes with Stokes flow in complex domains ⋮ Unfolding spatiotemporal dynamics through symmetry reduction based on orbit topology

Cites Work

• Interfacial instabilities in directional solidification of dilute binary alloys: the Kuramoto-Sivashinsky equation
• Matrix eigensystem routines - EISPACK guide. 2nd ed
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• Flame Propagation in Vertical Channels: Bifurcation to Bimodal Cellular Flames
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Two-dimensional patterns in Rayleigh-Taylor instability of a thin layer
• Predicting chaos for infinite dimensional dynamical systems: the Kuramoto-Sivashinsky equation, a case study.
• Convective instability of autocatalytic reaction fronts in vertical cylinders
• Stability of Cellular States of the Kuramoto–Sivashinsky Equation
• On the State Space Geometry of the Kuramoto–Sivashinsky Flow in a Periodic Domain

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