منابع مشابه
Analysis of a Convective Reaction-Diffusion Equation II
We study the large time behavior of positive solutions of the semilinear parabolic equation ut Uxx + e(g(u))x + f(u), 0 < x < L, e E R, subject to u(O,t) u(i,t) 0. The model problem in which the results apply is g(u) u and f(u) up 1 < m < p. The steady state problem is analyzed in some detail, and results about finite time blow up are proved.
متن کاملConvective fingering of an autocatalytic reaction front.
We report experimental observations of the convection-driven fingering instability of an iodate-arsenous acid chemical reaction front. The front propagated upward in a vertical slab; the thickness of the slab was varied to control the degree of instability. We observed the onset and subsequent nonlinear evolution of the fingers, which were made visible by a pH indicator. We measured the spacing...
متن کاملFlow Over an Exponentially Stretching Porous Sheet with Cross-diffusion Effects and Convective Thermal Conditions
This article investigates the influence of cross-diffusion on the viscous fluid flow over a porous sheet stretching exponentially by applying the convective thermal conditions. Velocity slip at the boundary is considered. The numerical solutions to the governing equations are evaluated using successive linearisation procedure and Chebyshev collocation method. It is observed from this study that...
متن کاملA numerical investigation of a reaction-diffusion equation arises from an ecological phenomenon
This paper deals with the numerical solution of a class of reaction diffusion equations arises from ecological phenomena. When two species are introduced into unoccupied habitat, they can spread across the environment as two travelling waves with the wave of the faster reproducer moving ahead of the slower.The mathematical modelling of invasions of species in more complex settings that include ...
متن کاملConvective dispersion without molecular diffusion
A method-of-moments scheme is invoked to compute the asymptotic, long-time mean (or composite) velocity and dispersivity (effective diffusivity) of a two-state particle undergoing one-dimensional convectivediffusive motion accompanied by a reversible linear transition (“chemical reaction” or “change in phase”) between these states. The instantaneous state-specific particle velocity is assumed t...
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: SIAM Journal on Applied Mathematics
سال: 1977
ISSN: 0036-1399,1095-712X
DOI: 10.1137/0133018