Traveling Fronts in a Reaction–Diffusion Equation with a Memory Term
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[1] Jong-Shenq Guo,et al. Front propagation for discrete periodic monostable equations , 2006 .
[2] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[3] B. Deng. The existence of infinitely many traveling front and back waves in the FitzHugh-Nagumo equations , 1991 .
[4] Xinfu Chen,et al. Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations , 1997, Advances in Differential Equations.
[5] H. McKean. Nagumo's equation , 1970 .
[6] G. Allaire. Homogenization and two-scale convergence , 1992 .
[7] Xinfu Chen,et al. Traveling Waves in Discrete Periodic Media for Bistable Dynamics , 2008 .
[8] Karsten Matthies,et al. Existence and Homogenisation of Travelling Waves Bifurcating from Resonances of Reaction–Diffusion Equations in Periodic Media , 2014, Journal of Dynamics and Differential Equations.
[9] A. Bensoussan,et al. Asymptotic analysis for periodic structures , 1979 .
[10] Xingfu Zou,et al. Traveling Wave Fronts of Reaction-Diffusion Systems with Delay , 2001 .
[11] Marita Thomas,et al. Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion , 2013, Networks Heterog. Media.
[12] J. McLeod,et al. The approach of solutions of nonlinear diffusion equations to travelling front solutions , 1977 .
[13] F. Achleitner,et al. Traveling waves for a bistable equation with nonlocal diffusion , 2013, Advances in Differential Equations.
[14] V. Gol'dshtein,et al. Weighted Sobolev spaces and embedding theorems , 2007, math/0703725.
[15] G. Carpenter. A geometric approach to singular perturbation problems with applications to nerve impulse equations , 1977 .
[16] Pavel Gurevich,et al. Pulses in FitzHugh-Nagumo Systems with Rapidly Oscillating Coefficients , 2018, Multiscale Model. Simul..
[17] R. Gardner. Existence of multidimensional travelling wave solutions of an initial-boundary value problem , 1986 .
[18] Jack Xin,et al. Front Propagation in Heterogeneous Media , 2000, SIAM Rev..
[19] Alexander Mielke,et al. Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation , 2007, SIAM J. Math. Anal..
[20] Doina Cioranescu,et al. The Periodic Unfolding Method in Homogenization , 2008, SIAM J. Math. Anal..
[21] Henri Berestycki,et al. Front propagation in periodic excitable media , 2002 .
[22] Wave Solutions to Reaction-Diffusion Systems in Perforated Domains , 2001 .
[23] G. Schneider,et al. Exponential averaging for traveling wave solutions in rapidly varying periodic media , 2007 .
[24] G. Nguetseng. A general convergence result for a functional related to the theory of homogenization , 1989 .
[25] S. Yoshizawa,et al. An Active Pulse Transmission Line Simulating Nerve Axon , 1962, Proceedings of the IRE.
[26] Bertram Zinner,et al. EXISTENCE OF TRAVELING WAVES FOR REACTION DIFFUSION EQUATIONS OF FISHER TYPE IN PERIODIC MEDIA , 1995 .
[27] Sina Reichelt. Two-scale homogenization of systems of nonlinear parabolic equations , 2015 .