Articles on the Sivashinsky equation

This equation is also called Michelson-Sivashinsky equation

- derivation of the Sivashinsky equation at the second order by Sivashinsky and Clavin pdf

- The classical paper of Thual Frisch and Hénon on pole decomposition of the Sivashinsky equation pdf

Michel Hénon recently died in Nice on April 7 2013: french wikipedia page of Michel Hénon

- The two papers by Vaynblat and Matalon on the stability of pole solutions jstor link jstor link2

- Stationary solutions and Neumann boundary conditions in the Sivashinsky equation

Bruno Denet Physical Review E 74 (2006) 036303

http://arxiv.org/abs/physics/0604120

- Sivashinsky equation in a rectangular domain

Bruno Denet Physical Review E 75 (2007) 046310

http://arxiv.org/abs/physics/0702099

- The Sivashinsky equation for corrugated flames in the large-wrinkle limit

Guy Joulin, Bruno Denet Physical Review E 78 (2008) 016315

http://arxiv.org/abs/0806.4338

- Wrinkled flames and geometrical stretch

Bruno Denet, Guy Joulin Physical Review E 84, 016315 (2011)

http://arxiv.org/abs/1109.2714

- Flame Wrinkles From the Zhdanov-Trubnikov Equation

Guy Joulin, Bruno Denet Physics Letters A 376 (2012), pp. 1797-1802

http://arxiv.org/abs/1204.6565

- Resolvent methods for steady premixed flame shapes governed by the Zhdanov-Trubnikov equation

Gaëtan Borot, Bruno Denet, Guy Joulin J. Stat. Mech. (2012) P10023

http://arxiv.org/abs/1207.5416

- Shapes and speeds of steady forced premixed flames

Guy Joulin, Bruno Denet Phys. Rev E 89, 063001 (2014)

https://tel.archives-ouvertes.fr/IRPHE/hal-01000896v1

- Premixed flame shapes and polynomials

Bruno Denet, Guy Joulin Physica D, 292-293, 46-50 (2015)

http://arxiv.org/abs/1410.6037

An article on a Sivashinsky equation with gravity (and periodic boundary conditions)

- Intrinsic instabilities of curved premixed flames

Bruno Denet EPL 21, 299 (1993)

articles on the Frankel equation:

original 1990 paper by Frankel, with a one-page derivation of the equation pdf

web page with the papers of Michael Frankel (1949-2009)

Frankel equation for turbulent flames in the presence of a hydrodynamic instability

Bruno Denet Phys Rev E 55(6) (1997) 6911

Potential model of a 2D Bunsen flame

Bruno Denet Physics of Fluids 14(10) (2002) 3577

http://arxiv.org/abs/physics/0607085

Non-linear model equation for three-dimensional Bunsen flames

Bruno Denet Physics of Fluids 16 (2004) 1149

http://arxiv.org/abs/physics/0607083

- Low vorticity and small gas expansion in premixed flames

Bruno Denet , Vitaly Bychkov

Combustion Science and Technology 177 (2005) 1543

http://arxiv.org/abs/physics/0511213

- Potential-flow models for channelled two-dimensional premixed flames around near-circular obstacles

G. Joulin, B. Denet, H. El-Rabii Phys. Rev. E 81(1), 016314 (2010)

http://arxiv.org/abs/0909.0214

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