The speed of propagation for KPP type problems. II

A modular ramp system includes a ramp component and a connector releasably joined to the ramp component. The ramp component has first and second inclined surfaces and a connecting portion positioned between the first and second inclined surfaces. The connector has a bottom side formed with first and second coupling sections connectible to the connecting portion. The connector is positionable in a first position in which one of the first and second coupling sections is releasably joined to the connecting portion of the ramp component, and the other of the first and second coupling sections is adapted to releasably couple to a ramp or an external structure, and is positionable in a second position in which the first and second coupling sections are releasably joined to the connecting portion of the ramp component.

[1]  François Hamel,et al.  Qualitative properties of monostable pulsating fronts: exponential decay and monotonicity , 2008 .

[2]  Andrej Zlatoš.  Sharp Asymptotics for KPP Pulsating Front Speed-Up and Diffusion Enhancement by Flows , 2007, 0704.1163.

[3]  L. Ryzhik,et al.  KPP pulsating front speed-up by flows , 2007, math/0701900.

[4]  Henri Berestycki,et al.  Analysis of the periodically fragmented environment model: II—biological invasions and pulsating travelling fronts , 2005 .

[5]  François Hamel,et al.  The speed of propagation for KPP type problems. I: Periodic framework , 2005 .

[6]  S. Heinze.  Large Convection Limits for KPP Fronts , 2005 .

[7]  N. Nadirashvili,et al.  Elliptic Eigenvalue Problems with Large Drift and Applications to Nonlinear Propagation Phenomena , 2005 .

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

[9]  S. Heinze.  Diffusion-Advection in Cellular Flows with Large Peclet Numbers , 2003 .

[10]  Hans F. Weinberger,et al.  On spreading speeds and traveling waves for growth and migration models in a periodic habitat , 2002, Journal of mathematical biology.

[11]  Henri Berestycki,et al.  Front propagation in periodic excitable media , 2002 .

[12]  S. Heinze.  The speed of travelling waves for convective reaction-diffusion equations , 2001 .

[13]  A. Volpert,et al.  EXISTENCE OF MULTIDIMENSIONAL TRAVELLING WAVES AND SYSTEMS OF WAVES , 2001 .

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

[15]  A. Kiselev,et al.  Enhancement of the traveling front speeds in reaction-diffusion equations with advection , 2000, math/0002175.

[16]  F. Hamel,et al.  Existence of multidimensional travelling fronts with a multistable nonlinearity , 2000, Advances in Differential Equations.

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

[18]  N. Shigesada,et al.  Biological Invasions: Theory and Practice , 1997 .

[19]  Bertram Zinner,et al.  EXISTENCE OF TRAVELING WAVES FOR REACTION DIFFUSION EQUATIONS OF FISHER TYPE IN PERIODIC MEDIA , 1995 .

[20]  Vitaly Volpert,et al.  Traveling Wave Solutions of Parabolic Systems , 1994 .

[21]  R. Benguria,et al.  Variational characterization of the speed of propagation of fronts for the nonlinear diffusion equation , 1994, patt-sol/9408001.

[22]  T. Gallay,et al.  Local stability of critical fronts in nonlinear parabolic partial differential equations , 1994 .

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

[24]  Henri Berestycki,et al.  Travelling fronts in cylinders , 1992 .

[25]  X. Xin,et al.  Existence and stability of traveling waves in periodic media governed by a bistable nonlinearity , 1991 .

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

[27]  R. Lui,et al.  Biological growth and spread modeled by systems of recursions. I. Mathematical theory. , 1989, Mathematical biosciences.

[28]  R. Lui,et al.  Biological growth and spread modeled by systems of recursions. II. Biological theory. , 1989, Mathematical biosciences.

[29]  Henri Berestycki,et al.  Traveling Wave Solutions to Combustion Models and Their Singular Limits , 1985 .

[30]  M. Gruber.  Harnack inequalities for solutions of general second order parabolic equations and estimates of their Hölder constants , 1984 .

[31]  Christopher Jones,et al.  Spherically symmetric solutions of a reaction-diffusion equation☆ , 1983 .

[32]  N. Krylov,et al.  A CERTAIN PROPERTY OF SOLUTIONS OF PARABOLIC EQUATIONS WITH MEASURABLE COEFFICIENTS , 1981 .

[33]  D. Aronson,et al.  Multidimensional nonlinear di u-sion arising in population genetics , 1978 .

[34]  J. McLeod,et al.  The approach of solutions of nonlinear diffusion equations to travelling front solutions , 1977 .

[35]  K. P. Hadeler,et al.  Travelling fronts in nonlinear diffusion equations , 1975 .

[36]  L. Roques,et al.  Uniqueness and stability properties of monostable pulsating fronts , 2011 .

[37]  Henri Berestycki,et al.  Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis , 2007 .

[38]  Henri Berestycki,et al.  Generalized travelling waves for reaction-diffusion equations , 2006 .

[39]  H. Berestycki.  The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations , 2002 .

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

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

[42]  Alexander Grigor cprimeyan.  Gaussian upper bounds for the heat kernel on arbitrary manifolds , 1997 .

[43]  J. Roquejoffre.  Eventual monotonicity and convergence to travelling fronts for the solutions of parabolic equations in cylinders , 1997 .

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

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

[46]  Andrew J. Majda,et al.  Large scale front dynamics for turbulent reaction-diffusion equations with separated velocity scales , 1994 .

[47]  J. Xin.  Multidimensional Stability of Traveling Waves in a Bistable Reaction–Diffusion Equation, I , 1992 .

[48]  E. Davies,et al.  Heat kernels and spectral theory , 1989 .

[49]  M. Bramson.  Convergence of solutions of the Kolmogorov equation to travelling waves , 1983 .