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)
pdf
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
pdf
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