Pointwise stability of reaction diffusion fronts
نویسندگان
چکیده
منابع مشابه
Time-delayed reaction-diffusion fronts.
A time-delayed second-order approximation for the front speed in reaction-dispersion systems was obtained by Fort and Méndez [Phys. Rev. Lett. 82, 867 (1999)]. Here we show that taking proper care of the effect of the time delay on the reactive process yields a different evolution equation and, therefore, an alternate equation for the front speed. We apply the new equation to the Neolithic tran...
متن کاملField theory of propagating reaction-diffusion fronts.
The problem of velocity selection of reaction-diffusion fronts has been widely investigated. While the mean-field limit results are well known theoretically, there is a lack of analytic progress in those cases in which fluctuations are to be taken into account. Here, we construct an analytic theory connecting the first principles of the reaction-diffusion process to an effective equation of mot...
متن کاملStability of reaction fronts in thin domains
The paper is devoted to the stability of reaction fronts in thin domains. The influence of natural convection and of heat losses through the walls of the reactor is studied numerically and analytically. Critical conditions of stability of stationary solutions are obtained. 1. Introduction. The stability of reaction fronts is important for many technological devices and it is interesting from th...
متن کاملReaction-diffusion fronts with inhomogeneous initial conditions
Properties of reaction zones resulting from A + B → C type reaction-diffusion processes are investigated by analytical and numerical methods. The reagents A and B are separated initially and, in addition, there is an initial macroscopic inhomogeneity in the distribution of the B species. For simple two-dimensional geometries, exact analytical results are presented for the time-evolution of the ...
متن کاملNepomnyashchy reaction systems − Fronts in anomalous diffusion
Supplementary data rsta.2012.0179.DC1.html http://rsta.royalsocietypublishing.org/content/suppl/2012/11/23/ "Presentation at Turbulent Mixing and Beyond conference" References 79.full.html#ref-list-1 http://rsta.royalsocietypublishing.org/content/371/1982/201201 This article cites 62 articles Subject collections (52 articles) mathematical physics collections Articles on similar topics can be...
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: Proceedings of the Royal Society of Edinburgh: Section A Mathematics
سال: 2019
ISSN: 0308-2105,1473-7124
DOI: 10.1017/prm.2019.6