Threshold phenomena for a reaction-diffusion system

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Threshold Phenomena for Symmetric-decreasing Radial Solutions of Reaction-diffusion Equations

We study the long time behavior of positive solutions of the Cauchy problem for nonlinear reaction-diffusion equations in RN with bistable, ignition or monostable nonlinearities that exhibit threshold behavior. For L2 initial data that are radial and non-increasing as a function of the distance to the origin, we characterize the ignition behavior in terms of the long time behavior of the energy...

متن کامل

Critical phenomena in a discrete stochastic reaction-diffusion medium

We study the steady states of a reaction-diffusion medium modelled by a stochastic 2D cellular automaton. We consider the Greenberg-Hastings model where noise and topological irregularities of the grid are taken into account. The decrease of the probability of excitation changes qualitatively the behaviour of the system from an “active” to an “extinct” steady state. Simulations show that this c...

متن کامل

Fast-reaction asymptotics for a two-scale reaction-diffusion system

We investigate a reaction–diffusion process in a two-phase medium with microscopic length scale ε. The diffusion coefficients in the two phases are highly different (d1/D = ε2) and the reaction constant k is large. First, the homogenisation limit ε → 0 is taken, which leads to a two-scale model. Afterwards, we pass to the fast-reaction limit k →∞ and obtain a two-scale reaction-diffusion system...

متن کامل

Polarization phenomena in the reaction NN → NNπ near threshold

First calculations for spin-dependent observables of the reactions pp → ppπ, pp → pnπ and pp → dπ near threshold are presented, employing the Jülich model for pion production. The influence of resonant (via the excitation of the ∆(1232)) and non-resonant p-wave pion production mechanisms on these observables is examined. For the reactions pp → pnπ and pp → dπ nice agreement of our predictions w...

متن کامل

Action potential restitution and hysteresis in a reaction-diffusion system with pacing rate dependent excitation threshold

We have demonstrated that rate dependent restitution and action potential duration-refractory period hysteresis can be reproduced in a one-dimensional two-variable Chernyak-Starobin-Cohen reaction-diffusion medium with variable excitation threshold. We show that restitution and hysteresis depend on the relationship between pacing period and steady state excitation threshold and also on the rate...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 1983

ISSN: 0022-0396

DOI: 10.1016/0022-0396(83)90043-8