Errata to “A lyapunov function for a reaction-diffusion system”
نویسندگان
چکیده
منابع مشابه
a new approach to credibility premium for zero-inflated poisson models for panel data
هدف اصلی از این تحقیق به دست آوردن و مقایسه حق بیمه باورمندی در مدل های شمارشی گزارش نشده برای داده های طولی می باشد. در این تحقیق حق بیمه های پبش گویی بر اساس توابع ضرر مربع خطا و نمایی محاسبه شده و با هم مقایسه می شود. تمایل به گرفتن پاداش و جایزه یکی از دلایل مهم برای گزارش ندادن تصادفات می باشد و افراد برای استفاده از تخفیف اغلب از گزارش تصادفات با هزینه پائین خودداری می کنند، در این تحقیق ...
15 صفحه اولFast-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...
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The Cellular Automata method has been used to simulate the pattern formation of the Schlögl model as a bistable Reaction-Diffusion System. Both microscopic and macroscopic Cellular Automata approaches have been considered and two different methods for obtaining the probabilities in the microscopic approach have been mentioned. The results show the tendency of the system towards the more sta...
متن کاملStability and Lyapunov Functions for Reaction-diffusion Systems*
It is shown for a large class of reaction-diffusion systems with Neumann boundary conditions that in the presence of a separable Lyapunov structure, the existence of an a priori Lr-estimate, uniform in time, for some r > 0, implies the L∞ uniform stability of steady states. The results are applied to a general class of Lotka-Volterra systems and are seen to provide a partial answer to the globa...
متن کاملA one-dimensional reaction/diffusion system with a fast reaction
We consider a system of second order ordinary differential equations describing steady state for a 3–component chemical system (with diffusion) in the case when one of the reactions is fast. We discuss the existence of solutions and the existence, uniqueness, and characterization of a limit as the rate of the fast reaction approaches infinity.
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ژورنال
عنوان ژورنال: Applied Mathematics Letters
سال: 1998
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(98)00023-8