References
- Bychkov , V.V. , Golberg , S.M. , Liberman , M.A. Eriksson, L.E. (1996) Propagation of curved stationary flames in tubes . Phys. Rev. E. , 54 , 3713 – 3724 .
- Darrieus , G. ( 1945 ) Propagation d'un front de flamme. Presented at Le Congres de Mecanique Appliquee , unpublished .
- Joulin , G. ( 1991 ) On the Zhdanov-Trubnikov equation for premixed flame instability . Sov. Phys. JETP , 100 , 428 – 432 .
- Kazakov , K.A. Liberman , M.A. ( 2002 ) Nonlinear equation for curved stationary flames . Phys. Fluids , 14 , 1166 – 1181 .
- Landau , L.D. ( 1944 ) On the theory of slow combustion . Acta Phys. Chetn. , 19 , 77 – 85 .
- Landau , L.D. Lifshitz , E.M. ( 1988 ) Fluid Mechanics , Pergamon , Oxford .
- Matalon , M. Matkowsky , B.J. ( 1982 ) Flames as gasdynamic discontinuities . J. Fluid Mech. , 124 , 239 – 259 .
- Pelce , P. Clavin , P. ( 1982 ) Influence of hydrodynamics and diffusion on the stability limits of laminar premixed flames . J. Fluid Mech. , 124 , 219 – 237 .
- Rahibe , Z. , Aubry , N. Sivashinsky , G. ( 1996 ) Stability of pole solutions for planar propagating flames . Phys. Rev. E , 54 , 4958 – 4972 .
- Rahibe , Z. , Aubry , N. Sivashinsky , G. ( 1998 ) Instability of pole solutions for planar propagating flames in sufficiently large domains . Combust. Theor. Model , 2 , 19 – 41 .
- Rahibe , Z. , Aubry , N. , Sivashinsky , G. Lima , R. ( 1995 ) Formation of wrinkles in outwardly propagating flames . Phys. Rev. E , 52 , 3675 – 3686 .
- Sivashinsky , G.I. ( 1977 ) Nonlinear analysis of hydrodynamic instability in laminar flames . Acta Astronaut. , 4 , 1177 – 1206 .
- Thual , O. , Frisch , U. Henon , M. ( 1985 ) Application of pole decomposition to an equation governing dynamics of wrinkled flame fronts . J. Phys. Paris , 46 , 1485 – 1494 .
- Zhdanov , S.K. and Trubnikov , B.A. ( 1989 ), Nonlinear theory of flame front instability , Sov. Phys. JETP , 95 , 114 – 121 .