Secondary instabilities in the stabilized Kuramoto-Sivashinsky equation

Chaouqi Misbah; Alexandre Valance

doi:10.1103/physreve.49.166

Secondary instabilities in the stabilized Kuramoto-Sivashinsky equation

Physical Review E ◽

10.1103/physreve.49.166 ◽

1994 ◽

Vol 49 (1) ◽

pp. 166-183 ◽

Cited By ~ 70

Author(s):

Chaouqi Misbah ◽

Alexandre Valance

Keyword(s):

Secondary Instabilities ◽

Sivashinsky Equation

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Stabilized Kuramoto-Sivashinsky equation: A useful model for secondary instabilities and related dynamics of experimental one-dimensional cellular flows

Physical Review E ◽

10.1103/physreve.76.017204 ◽

2007 ◽

Vol 76 (1) ◽

Cited By ~ 12

Author(s):

P. Brunet

Keyword(s):

One Dimensional ◽

Cellular Flows ◽

Secondary Instabilities ◽

Sivashinsky Equation

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Role of elastic effects in the secondary instabilities of the nematic-isotropic interface

Journal de Physique II ◽

10.1051/jp2:1991190 ◽

1991 ◽

Vol 1 (5) ◽

pp. 571-581 ◽

Cited By ~ 10

Author(s):

P. Oswald

Keyword(s):

Secondary Instabilities

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SECONDARY INSTABILITIES OF A DEVELOPING THERMAL FRONT IN A POROUS MEDIUM

Equipment ◽

10.1615/ihtc13.p5.30 ◽

2006 ◽

Cited By ~ 1

Author(s):

Asma Selim ◽

D. Andrew S. Rees

Keyword(s):

Porous Medium ◽

Thermal Front ◽

Secondary Instabilities

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Comparative study of sequential data assimilation methods for the Kuramoto-Sivashinsky equation

AIAA Scitech 2021 Forum ◽

10.2514/6.2021-1749 ◽

2021 ◽

Author(s):

Suraj A. Pawar ◽

Omer San

Keyword(s):

Data Assimilation ◽

Comparative Study ◽

Sequential Data ◽

Sivashinsky Equation ◽

Sequential Data Assimilation

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High-Frequency Secondary Instabilities Downstream of a Forward-Facing Step

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-2243 ◽

2020 ◽

Author(s):

Jenna L. Eppink

Keyword(s):

High Frequency ◽

Forward Facing Step ◽

Secondary Instabilities

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Absolute/convective secondary instabilities and the role of confinement in free shear layers

Physical Review Fluids ◽

10.1103/physrevfluids.3.053901 ◽

2018 ◽

Vol 3 (5) ◽

Author(s):

Cristóbal Arratia ◽

Saviz Mowlavi ◽

François Gallaire

Keyword(s):

Shear Layers ◽

Free Shear Layers ◽

Secondary Instabilities

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Spectral stability of periodic wave trains of the Korteweg-de Vries/Kuramoto-Sivashinsky equation in the Korteweg-de Vries limit

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-2014-06274-0 ◽

2014 ◽

Vol 367 (3) ◽

pp. 2159-2212 ◽

Cited By ~ 14

Author(s):

Mathew A. Johnson ◽

Pascal Noble ◽

L. Miguel Rodrigues ◽

Kevin Zumbrun

Keyword(s):

Periodic Wave ◽

Spectral Stability ◽

De Vries ◽

Wave Trains ◽

Sivashinsky Equation

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On the Global Existence for the Kuramoto-Sivashinsky Equation

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-09985-1 ◽

2021 ◽

Author(s):

Igor Kukavica ◽

David Massatt

Keyword(s):

Global Existence ◽

Sivashinsky Equation

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Finite-dimensional control of the Kuramoto-Sivashinsky equation under point measurement and actuation

2020 59th IEEE Conference on Decision and Control (CDC) ◽

10.1109/cdc42340.2020.9304032 ◽

2020 ◽

Author(s):

Rami Katz ◽

Emilia Fridman

Keyword(s):

Dimensional Control ◽

Point Measurement ◽

Finite Dimensional ◽

Sivashinsky Equation

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Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00578-1 ◽

2021 ◽

Vol 11 (4) ◽

Author(s):

Boumediène Chentouf

Keyword(s):

Time Delay ◽

Exponential Stability ◽

Well Posedness ◽

Sivashinsky Equation ◽

Stability Results

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