Stationary space-periodic structures with equal diffusion coefficients
نویسندگان
چکیده
منابع مشابه
Stationary space-periodic structures with equal diffusion coefficients.
The paper investigates a chemical reaction-diffusion model in an open flow system. It is shown that such a system may, with particular boundary conditions, exhibit stationary space-periodic structures even in the case of equal diffusion coefficients. This is confirmed through numerical simulations.
متن کاملSingular homogenization with stationary in time and periodic in space coefficients
We study the homogenization problem for a random parabolic operator with coefficients rapidly oscillating in both the space and time variables and with a large highly oscillating nonlinear potential, in a general stationary and mixing random media, which is periodic in space. It is shown that a solution of the corresponding Cauchy problem converges in law to a solution of a limit stochastic PDE...
متن کاملRenormalization Group Analysis of Nonlinear Diffusion Equations with Periodic Coefficients
In this paper we present an efficient numerical approach based on the Renormalization Group method for the computation of self-similar dynamics. The latter arise, for instance, as the long-time asymptotic behavior of solutions to nonlinear parabolic partial differential equations. We illustrate the approach with the verification of a conjecture about the long-time behavior of solutions to a cer...
متن کاملElectromagnetic scattering by periodic structures with sign-changing coefficients
We analyze well-posedness of a scattering problem of time-harmonic electromagnetic waves by periodic structures with sign-changing coefficients. Transmission problems for Maxwell’s equations with sign-changing coefficients in bounded domains have been recently studied by Bonnet-Ben Dhia and co-workers in the so-called T -coercivity framework. In this article we generalize such framework for per...
متن کاملStability of periodic stationary solutions of scalar conservation laws with space-periodic flux
This article investigates the long-time behaviour of parabolic scalar conservation laws of the type ∂tu + divyA(y, u) − ∆yu = 0, where y ∈ R N and the flux A is periodic in y. More specifically, we consider the case when the initial data is an L disturbance of a stationary periodic solution. We show, under polynomial growth assumptions on the flux, that the difference between u and the stationa...
متن کاملذخیره 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: Physical Review E
سال: 1999
ISSN: 1063-651X,1095-3787
DOI: 10.1103/physreve.60.297