Fast reaction limit of a volume-surface reaction-diffusion system towards a heat equation with dynamical boundary conditions
نویسندگان
چکیده
The fast reaction limit of a volume-surface reaction-diffusion system is rigorously investigated. We show that as the reaction rate constant goes to infinity, the original system converges to a heat equation with dynamical boundary condition. As a consequence, a dynamical boundary condition can be interpreted as a fast reaction limit of a volume-surface reaction-diffusion system.
منابع مشابه
Spectral Quasi-linearization for MHD Nanofluid Stagnation Boundary Layer Flow due to a Stretching/Shrinking Surface
This article concentrates on the effect of MHD heat mass transfer on the stagnation point nanofluid flow over a stretching or shrinking sheet with homogeneous-heterogeneous reactions. The flow analysis is disclosed in the neighborhood of stagnation point. Features of heat transport are characterized with Newtonian heating. The homogeneous-heterogeneous chemical reaction between the fluid and di...
متن کاملRigorous Derivation of a Nonlinear Diffusion Equation as Fast-reaction Limit of a Continuous Coagulation–fragmentation Model with Diffusion
Weak solutions of the spatially inhomogeneous (diffusive) Aizenmann-Bak model of coagulation-breakup within a bounded domain with homogeneous Neumann boundary conditions are shown to converge, in the fast reaction limit, towards local equilibria determined by their mass. Moreover, this mass is the solution of a nonlinear diffusion equation whose nonlinearity depends on the (size-dependent) diff...
متن کاملA numerical treatment of a reaction-diffusion model of spatial pattern in the embryo
In this work the mathematical model of a spatial pattern in chemical and biological systems is investigated numerically. The proposed model considered as a nonlinear reaction-diffusion equation. A computational approach based on finite difference and RBF-collocation methods is conducted to solve the equation with respect to the appropriate initial and boundary conditions. The ability and robust...
متن کاملExploration of the Significance of Autocatalytic Chemical Reaction and Cattaneo-Christov Heat Flux on the Dynamics of a Micropolar Fluid
During the homogeneous-heterogeneous autocatalytic chemical reaction in the dynamics of micropolar fluid, relaxation of heat transfer is inevitable; hence Cattaneo-Christov heat flux model is investigated in this report. In this study, radiative heat flux through an optically thick medium is treated as nonlinear due to the fact that thermal radiation at low heat energy is distinctly different f...
متن کاملNUMERICAL MODELING OF CHARRING MATERIAL ABLATION WITH CONSIDERING CHEMICAL REACTION, MASS TRANSFER AND SURFACE HEAT TRANSFER EFFECTS
Presently there is a little information that relates to heat shield systems. Also this information is not certain in so many cases. The main reason is that accurate calculations for measuring the sacrificing rate of various materials have not been obtained yet. Additionally, the real scale test has two disadvantages: high cost and low flexibility, and for each case we must perform a new test...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Asymptotic Analysis
دوره 98 شماره
صفحات -
تاریخ انتشار 2016