Enhancement of the traveling front speeds in reaction-diffusion equations with advection

[1]  Peter Kuchment,et al.  Waves in Periodic and Random Media , 2003 .

[2]  Jack Xin,et al.  Front Propagation in Heterogeneous Media , 2000, SIAM Rev..

[3]  Y. Pomeau,et al.  Réaction diffusion en écoulement stationnaire rapide , 2000 .

[4]  Adam M. Oberman,et al.  Bulk Burning Rate in¶Passive–Reactive Diffusion , 1999, math/9907132.

[5]  G. Sivashinsky,et al.  On flame extinction by a spatially periodic shear flow , 1998 .

[6]  Andrew J. Majda,et al.  Comparison of turbulent flame speeds from complete averaging and the G‐equation , 1995 .

[7]  Andrew J. Majda,et al.  Effective geometric front dynamics for premixed turbulent combustion with separated velocity scales , 1994 .

[8]  George Papanicolaou,et al.  Convection Enhanced Diffusion for Periodic Flows , 1994, SIAM J. Appl. Math..

[9]  Jack Xin,et al.  Existence and nonexistence of traveling waves and reaction-diffusion front propagation in periodic media , 1993 .

[10]  Jack Xin,et al.  Existence of planar flame fronts in convective-diffusive periodic media , 1992 .

[11]  J. Roquejoffre,et al.  Stability of travelling fronts in a model for flame propagation part I: Linear analysis , 1992 .

[12]  J. Roquejoffre.  Stability of travelling fronts in a model for flame propagation Part II: Nonlinear stability , 1992 .

[13]  Kerstein,et al.  Propagation rate of growing interfaces in stirred fluids. , 1992, Physical review letters.

[14]  P. Lions,et al.  Multi-dimensional travelling-wave solutions of a flame propagation model , 1990 .

[15]  A. Kerstein.  Simple Derivation of Yakhot's Turbulent Premixed Flamespeed Formulad , 1988 .

[16]  Victor Yakhot,et al.  Propagation Velocity of Premixed Turbulent Flames , 1988 .

[17]  M. Freidlin,et al.  Geometric optics approach to reaction-diffusion equations , 1986 .

[18]  M. Freidlin.  Limit Theorems for Large Deviations and Reaction-Diffusion Equations , 1985 .

[19]  A. Bensoussan,et al.  Asymptotic analysis for periodic structures , 1979 .

[20]  F. Williams,et al.  Theory of premixed-flame propagation in large-scale turbulence , 1979, Journal of Fluid Mechanics.

[21]  R. Fisher.  THE WAVE OF ADVANCE OF ADVANTAGEOUS GENES , 1937 .

[22]  A. Stevens,et al.  Variational Principles for Propagation Speeds in Inhomogeneous Media , 2001, SIAM J. Appl. Math..

[23]  G. Sivashinsky,et al.  Flame propagation and extinction in large-scale vortical flows , 2000 .

[24]  F. Hamel.  Formules min-max pour les vitesses d'ondes progressives multidimensionnelles , 1999 .

[25]  Jingyi Zhu,et al.  The Effect of Finite Front Thickness on the Enhanced Speed of Propagation , 1997 .

[26]  P. Ronney.  Some open issues in premixed turbulent combustion , 1995 .

[27]  Jean-Michel Roquejoffre,et al.  A parabolic equation of the KPP type in higher dimensions , 1995 .

[28]  J. Buckmaster,et al.  Modeling in Combustion Science , 1995 .

[29]  P. Souganidis,et al.  Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales , 1994 .

[30]  P. Pelcé.  Dynamics of curved fronts , 1988 .

[31]  H. Weinberger,et al.  Maximum principles in differential equations , 1967 .